JP7283611B2 - Transmitting device, transmitting method, receiving device, and receiving method - Google Patents

Description

The present technology relates to a transmitting device, a transmitting method, a receiving device, and a receiving method, and in particular, for example, in data transmission using LDPC codes, a transmitting device and a transmitting method that can ensure good communication quality. , a receiving device, and a receiving method.

LDPC (Low Density Parity Check) code has a high error correction capability, and in recent years, for example, DVB (Digital Video Broadcasting)-S.2 in Europe, etc., DVB-T.2, DVB-C.2, It is widely used in transmission systems such as digital broadcasting such as ATSC (Advanced Television Systems Committee) 3.0 in the United States (for example, see Non-Patent Document 1).

Recent studies have shown that LDPC codes can achieve performance close to the Shannon limit as the code length increases, similar to turbo codes and the like. In addition, LDPC codes have the property that the minimum distance is proportional to the code length, so they are characterized by good block error probability characteristics, and the so-called error floor phenomenon observed in decoding characteristics such as turbo codes. Another advantage is that it rarely occurs.

ATSC Standard: Physical Layer Protocol (A/322), 7 September 2016

In data transmission using LDPC codes, for example, the LDPC code is a symbol of quadrature modulation (digital modulation) such as QPSK (Quadrature Phase Shift Keying) (symbolized), and the symbol is a signal point of quadrature modulation. Mapped and sent.

Data transmission using LDPC codes as described above is spreading worldwide, and there is a demand to ensure good communication (transmission) quality.

The present technology has been made in view of such circumstances, and is intended to ensure good communication quality in data transmission using LDPC codes.

A first transmission method/apparatus of the present technology includes an encoding step/unit that performs LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 2/16; A group-wise interleaving step/unit that performs group-wise interleaving that interleaves the LDPC code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 of 16 QAM 2D-NUC and a mapping step/unit that maps to any of the signal points, and in the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is set as a bit group i, and the 17280-bit Bit groups 0 to 47 of the LDPC code
46 11 23 33 10 0 17 47 20 5 38 29 28 16 41 27 2 31 43 37 34 12 35 24 21 44 40 36 32 39 4 19 26 6 30 9 42 1 22 8 3 45 14 1 5 13 7 25 18
, and the parity check matrix is an M1 row K column represented by a predetermined value M1 and the information length K = N × r of the LDPC code, the upper left A matrix of the parity check matrix, M1 row M1 A staircase-structured B matrix adjacent to the right of said A matrix, and a Z matrix of M1 rows and NK-M1 columns, which is a zero matrix adjacent to the right of said B matrix, and NK-M1 rows and K+M1 columns of columns. , a C matrix adjacent below the A matrix and the B matrix, and a D matrix that is a unit matrix adjacent to the right of the C matrix in NK-M1 rows and NK-M1 columns, and the predetermined value M1 is 1800, the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing the positions of elements of 1 in the A matrix and the C matrix for every 360 columns and
485 1444 1737 3762 7283 10663
181 1563 1623 3902 12647
1077 1216 1709 11264 13865
303 1225 1369 13470 14991
1067 1226 1795 2169 2507 2677 2727 2773 3609 3926 3996 4192 5004 5921 6134 6385 7419 7595 7821 8996 9413 10318 10557 1088 6 11307 11599 12641 13430
101 1264 1427 1860 2032 2063 3143 3156 4227 4554 4732 5165 5447 5902 6145 6721 7170 8660 8833 9081 9643 9800 10233 11723 12547 13124 14196 14723
3403 3678 5842 7967 8991 9220 9663 10299 10343 10550
1951 2354 3899 4774 7602 9120 9666 11048 14327 15089
2588 3047 4252 4831 5220 5487 5626 6380 9410 10618
2261 2295 5693 6711 6789 8342 11569 11943 12826 14312
3441 5287 7665 7864 8134 8446 10920 11625 12710 13309
is a transmission method/apparatus.

In the first transmission method/apparatus of the present technology, the code length N is 17280 bits, and the coding rate r is based on the parity check matrix of the LDPC code of 2/16, LDPC encoding is performed, and the LDPC code is , group-wise interleaving is performed by interleaving in units of 360-bit bit groups. Then, the LDPC code is mapped to one of 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM in units of 4 bits. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
46 11 23 33 10 0 17 47 20 5 38 29 28 16 41 27 2 31 43 37 34 12 35 24 21 44 40 36 32 39 4 19 26 6 30 9 42 1 22 8 3 45 14 1 5 13 7 25 18
are interleaved alongside. The parity check matrix is represented by a predetermined value M1 and the information length K=N×r of the LDPC code, the upper left A matrix of the M1 rows and K columns of the parity check matrix, The B matrix of the staircase structure adjacent to the right of the matrix, the Z matrix that is the zero matrix that is adjacent to the right of the B matrix with M1 rows and NK-M1 columns, and the A matrix with NK-M1 rows and K+M1 columns. and a C matrix adjacent below the B matrix, and a D matrix that is a unit matrix of NK-M1 rows and NK-M1 columns adjacent to the right of the C matrix, and the predetermined value M1 is 1800. , the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing the positions of elements of 1 in the A matrix and the C matrix for every 360 columns,
485 1444 1737 3762 7283 10663
181 1563 1623 3902 12647
1077 1216 1709 11264 13865
303 1225 1369 13470 14991
1067 1226 1795 2169 2507 2677 2727 2773 3609 3926 3996 4192 5004 5921 6134 6385 7419 7595 7821 8996 9413 10318 10557 1088 6 11307 11599 12641 13430
101 1264 1427 1860 2032 2063 3143 3156 4227 4554 4732 5165 5447 5902 6145 6721 7170 8660 8833 9081 9643 9800 10233 11723 12547 13124 14196 14723
3403 3678 5842 7967 8991 9220 9663 10299 10343 10550
1951 2354 3899 4774 7602 9120 9666 11048 14327 15089
2588 3047 4252 4831 5220 5487 5626 6380 9410 10618
2261 2295 5693 6711 6789 8342 11569 11943 12826 14312
3441 5287 7665 7864 8134 8446 10920 11625 12710 13309
It has become.

A first receiving apparatus/method of the present technology includes an encoding step of performing LDPC encoding based on a parity check matrix of an LDPC code having a code length N of 17280 bits and a coding rate r of 2/16; A group-wise interleaving step that performs group-wise interleaving that interleaves the code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and bit group 0 of the 17280-bit LDPC code or a sequence of 47, bit group
46 11 23 33 10 0 17 47 20 5 38 29 28 16 41 27 2 31 43 37 34 12 35 24 21 44 40 36 32 39 4 19 26 6 30 9 42 1 22 8 3 45 14 1 5 13 7 25 18
, and the parity check matrix is an M1 row K column represented by a predetermined value M1 and the information length K = N × r of the LDPC code, the upper left A matrix of the parity check matrix, M1 row M1 A staircase-structured B matrix adjacent to the right of said A matrix, and a Z matrix of M1 rows and NK-M1 columns, which is a zero matrix adjacent to the right of said B matrix, and NK-M1 rows and K+M1 columns of columns. , a C matrix adjacent below the A matrix and the B matrix, and a D matrix that is a unit matrix adjacent to the right of the C matrix in NK-M1 rows and NK-M1 columns, and the predetermined value M1 is 1800, the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing the positions of elements of 1 in the A matrix and the C matrix for every 360 columns and
485 1444 1737 3762 7283 10663
181 1563 1623 3902 12647
1077 1216 1709 11264 13865
303 1225 1369 13470 14991
1067 1226 1795 2169 2507 2677 2727 2773 3609 3926 3996 4192 5004 5921 6134 6385 7419 7595 7821 8996 9413 10318 10557 1088 6 11307 11599 12641 13430
101 1264 1427 1860 2032 2063 3143 3156 4227 4554 4732 5165 5447 5902 6145 6721 7170 8660 8833 9081 9643 9800 10233 11723 12547 13124 14196 14723
3403 3678 5842 7967 8991 9220 9663 10299 10343 10550
1951 2354 3899 4774 7602 9120 9666 11048 14327 15089
2588 3047 4252 4831 5220 5487 5626 6380 9410 10618
2261 2295 5693 6711 6789 8342 11569 11943 12826 14312
3441 5287 7665 7864 8134 8446 10920 11625 12710 13309
is a receiving device/method comprising a decoding unit/step for decoding the LDPC code obtained from data transmitted by the transmission method.

In the first receiving device/method of the present technology, the LDPC code obtained from data transmitted by the first transmission method is decoded.

A second transmission method/apparatus of the present technology includes an encoding step/unit that performs LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 4/16; A group-wise interleaving step/unit that performs group-wise interleaving that interleaves the LDPC code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 of 16 QAM 2D-NUC and a mapping step/unit that maps to any of the signal points, and in the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is set as a bit group i, and the 17280-bit Bit groups 0 to 47 of the LDPC code
16 32 33 43 3 29 0 22 40 24 44 8 20 13 15 45 7 34 39 42 25 28 18 26 38 10 11 41 47 23 6 1 14 4 12 31 21 19 37 36 30 5 46 27 35 2 9 17
, and the parity check matrix is an M1 row K column represented by a predetermined value M1 and the information length K = N × r of the LDPC code, the upper left A matrix of the parity check matrix, M1 row M1 A staircase-structured B matrix adjacent to the right of said A matrix, and a Z matrix of M1 rows and NK-M1 columns, which is a zero matrix adjacent to the right of said B matrix, and NK-M1 rows and K+M1 columns of columns. , a C matrix adjacent below the A matrix and the B matrix, and a D matrix that is a unit matrix adjacent to the right of the C matrix in NK-M1 rows and NK-M1 columns, and the predetermined value M1 is 1080, the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing the positions of elements of 1 in the A matrix and the C matrix for every 360 columns and
159 211 356 1078 1219 1447 1562 2945 4040 4307 7300 11950 12663
163 385 518 669 2137 3537 3738 7393 7668 9235 10263 12293 12959
413 477 747 974 1995 3998 4078 4848 5642 8968 10356 10596 11451
450 538 767 1245 1354 1957 3497 5179 8925 9959 11385 11844
370 381 884 1627 2289 3654 4510 4949 5307 7959 8789 10552
9 146 1045 2160 3696 6477 6509 7297 9854 10704 12493 12533
110 136 327 4780 4841 5818 6642 7015 7594 8053 8882 9916
771 806 928 1281 2049 3065 4006 6536 6818 8041 8548 9357
256 506 939 1176 3954 4207 5143 7352 7620 8473 8534 11045
459 470 916 2393 3302 3371 3572 4732 5492 10845 12327 12767
270 302 754 1105 1430 1916 3788
144 706 1013 7424 7893 9436 10402
1899 3105 11835 12241
1400 7777 10094 10848
8098 10061 10435 12570
is a transmission method/apparatus.

In the second transmission method / device of the present technology, the code length N is 17280 bits, the coding rate r is based on the parity check matrix of the LDPC code of 4/16, LDPC encoding is performed, and the LDPC code is , group-wise interleaving is performed by interleaving in units of 360-bit bit groups. Then, the LDPC code is mapped to one of 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM in units of 4 bits. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
16 32 33 43 3 29 0 22 40 24 44 8 20 13 15 45 7 34 39 42 25 28 18 26 38 10 11 41 47 23 6 1 14 4 12 31 21 19 37 36 30 5 46 27 35 2 9 17
are interleaved alongside. The parity check matrix is represented by a predetermined value M1 and the information length K=N×r of the LDPC code, the upper left A matrix of the M1 rows and K columns of the parity check matrix, The B matrix of the staircase structure adjacent to the right of the matrix, the Z matrix that is the zero matrix that is adjacent to the right of the B matrix with M1 rows and NK-M1 columns, and the A matrix with NK-M1 rows and K+M1 columns. and a C matrix adjacent below the B matrix, and a D matrix that is a unit matrix of NK-M1 rows and NK-M1 columns adjacent to the right of the C matrix, and the predetermined value M1 is 1080 , the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing the positions of elements of 1 in the A matrix and the C matrix for every 360 columns,
159 211 356 1078 1219 1447 1562 2945 4040 4307 7300 11950 12663
163 385 518 669 2137 3537 3738 7393 7668 9235 10263 12293 12959
413 477 747 974 1995 3998 4078 4848 5642 8968 10356 10596 11451
450 538 767 1245 1354 1957 3497 5179 8925 9959 11385 11844
370 381 884 1627 2289 3654 4510 4949 5307 7959 8789 10552
9 146 1045 2160 3696 6477 6509 7297 9854 10704 12493 12533
110 136 327 4780 4841 5818 6642 7015 7594 8053 8882 9916
771 806 928 1281 2049 3065 4006 6536 6818 8041 8548 9357
256 506 939 1176 3954 4207 5143 7352 7620 8473 8534 11045
459 470 916 2393 3302 3371 3572 4732 5492 10845 12327 12767
270 302 754 1105 1430 1916 3788
144 706 1013 7424 7893 9436 10402
1899 3105 11835 12241
1400 7777 10094 10848
8098 10061 10435 12570
It has become.

A second receiving apparatus/method of the present technology includes an encoding step of performing LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 4/16; A group-wise interleaving step that performs group-wise interleaving that interleaves the code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and bit group 0 of the 17280-bit LDPC code or a sequence of 47, bit group
16 32 33 43 3 29 0 22 40 24 44 8 20 13 15 45 7 34 39 42 25 28 18 26 38 10 11 41 47 23 6 1 14 4 12 31 21 19 37 36 30 5 46 27 35 2 9 17
, and the parity check matrix is an M1 row K column represented by a predetermined value M1 and the information length K = N × r of the LDPC code, the upper left A matrix of the parity check matrix, M1 row M1 A staircase-structured B matrix adjacent to the right of said A matrix, and a Z matrix of M1 rows and NK-M1 columns, which is a zero matrix adjacent to the right of said B matrix, and NK-M1 rows and K+M1 columns of columns. , a C matrix adjacent below the A matrix and the B matrix, and a D matrix that is a unit matrix adjacent to the right of the C matrix in NK-M1 rows and NK-M1 columns, and the predetermined value M1 is 1080, the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing the positions of elements of 1 in the A matrix and the C matrix for every 360 columns and
159 211 356 1078 1219 1447 1562 2945 4040 4307 7300 11950 12663
163 385 518 669 2137 3537 3738 7393 7668 9235 10263 12293 12959
413 477 747 974 1995 3998 4078 4848 5642 8968 10356 10596 11451
450 538 767 1245 1354 1957 3497 5179 8925 9959 11385 11844
370 381 884 1627 2289 3654 4510 4949 5307 7959 8789 10552
9 146 1045 2160 3696 6477 6509 7297 9854 10704 12493 12533
110 136 327 4780 4841 5818 6642 7015 7594 8053 8882 9916
771 806 928 1281 2049 3065 4006 6536 6818 8041 8548 9357
256 506 939 1176 3954 4207 5143 7352 7620 8473 8534 11045
459 470 916 2393 3302 3371 3572 4732 5492 10845 12327 12767
270 302 754 1105 1430 1916 3788
144 706 1013 7424 7893 9436 10402
1899 3105 11835 12241
1400 7777 10094 10848
8098 10061 10435 12570
is a receiving device/method comprising a decoding unit/step for decoding the LDPC code obtained from data transmitted by the transmission method.

In the second receiving device/method of the present technology, the LDPC code obtained from the data transmitted by the second transmission method is decoded.

A third transmission method/apparatus of the present technology includes an encoding step/unit that performs LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 6/16; A group-wise interleaving step/unit that performs group-wise interleaving that interleaves the LDPC code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 of 16 QAM 2D-NUC and a mapping step/unit that maps to any of the signal points, and in the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is set as a bit group i, and the 17280-bit Bit groups 0 to 47 of the LDPC code
23 42 33 17 37 2 22 14 21 0 12 44 30 1 25 35 46 13 10 24 20 15 45 31 41 43 28 36 16 4 32 18 3 6 34 11 40 5 38 27 29 8 26 7 39 9 47 19
, and the parity check matrix is an M1 row K column represented by a predetermined value M1 and the information length K = N × r of the LDPC code, the upper left A matrix of the parity check matrix, M1 row M1 A staircase-structured B matrix adjacent to the right of said A matrix, and a Z matrix of M1 rows and NK-M1 columns, which is a zero matrix adjacent to the right of said B matrix, and NK-M1 rows and K+M1 columns of columns. , a C matrix adjacent below the A matrix and the B matrix, and a D matrix that is a unit matrix adjacent to the right of the C matrix in NK-M1 rows and NK-M1 columns, and the predetermined value M1 is 720, the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing the positions of elements of 1 in the A matrix and the C matrix for every 360 columns and
416 437 444 1657 2662 4109 4405 6308 8251
75 498 687 3903 4582 7035 7650 7871 10382
394 419 474 3515 6708 7277 8703 9969 10489
167 289 612 1847 5277 5900 8326 8508 9462
196 439 620 2128 2375 2501 6902 9308 9552
154 495 623 5024 6241 8364 9996 10104 10346
230 329 661 879 1474 3222 4109 8079 8865
97 172 692 1018 1629 1752 3170 5930
359 377 712 6273 7131 7278 8292 10457
368 551 708 787 2891 6140 7195 9555
44 512 655 2196 6692 7975 8410 10727
27 94 611 5585 7258 8091 9867 10714
608 639 691 3560 6819 7492 7754 7916
46 115 214 2175 5986 7177 8589 10757
282 589 604 969 1856 2433 5742 8900
243 262 669 1330 1366 3339 5517 7517
62 392 651 4175 8349 8557 9192 10015
206 375 697 1449 2015 2390 3926 4428 5084 5236 5872 8486 9398 9997 10469
1079 1384 1664 2936 4618 5359 5455 5537 5726 5875 8044 8521 9746
791 1106 1497 1885 2682 3473 3716 4506 5671 5829 8388 8641 9454
is a transmission method/apparatus.

In the third transmission method / device of the present technology, the code length N is 17280 bits, the coding rate r is based on the parity check matrix of the LDPC code of 6/16, LDPC encoding is performed, and the LDPC code is , group-wise interleaving is performed by interleaving in units of 360-bit bit groups. Then, the LDPC code is mapped to one of 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM in units of 4 bits. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
23 42 33 17 37 2 22 14 21 0 12 44 30 1 25 35 46 13 10 24 20 15 45 31 41 43 28 36 16 4 32 18 3 6 34 11 40 5 38 27 29 8 26 7 39 9 47 19
are interleaved alongside. The parity check matrix is represented by a predetermined value M1 and the information length K=N×r of the LDPC code, the upper left A matrix of the M1 rows and K columns of the parity check matrix, The B matrix of the staircase structure adjacent to the right of the matrix, the Z matrix that is the zero matrix that is adjacent to the right of the B matrix with M1 rows and NK-M1 columns, and the A matrix with NK-M1 rows and K+M1 columns. and a C matrix adjacent below the B matrix, and a D matrix that is a unit matrix of NK-M1 rows and NK-M1 columns adjacent to the right of the C matrix, and the predetermined value M1 is 720. , the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing the positions of elements of 1 in the A matrix and the C matrix for every 360 columns,
416 437 444 1657 2662 4109 4405 6308 8251
75 498 687 3903 4582 7035 7650 7871 10382
394 419 474 3515 6708 7277 8703 9969 10489
167 289 612 1847 5277 5900 8326 8508 9462
196 439 620 2128 2375 2501 6902 9308 9552
154 495 623 5024 6241 8364 9996 10104 10346
230 329 661 879 1474 3222 4109 8079 8865
97 172 692 1018 1629 1752 3170 5930
359 377 712 6273 7131 7278 8292 10457
368 551 708 787 2891 6140 7195 9555
44 512 655 2196 6692 7975 8410 10727
27 94 611 5585 7258 8091 9867 10714
608 639 691 3560 6819 7492 7754 7916
46 115 214 2175 5986 7177 8589 10757
282 589 604 969 1856 2433 5742 8900
243 262 669 1330 1366 3339 5517 7517
62 392 651 4175 8349 8557 9192 10015
206 375 697 1449 2015 2390 3926 4428 5084 5236 5872 8486 9398 9997 10469
1079 1384 1664 2936 4618 5359 5455 5537 5726 5875 8044 8521 9746
791 1106 1497 1885 2682 3473 3716 4506 5671 5829 8388 8641 9454
It has become.

A third receiving apparatus/method of the present technology includes an encoding step of performing LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 6/16; A group-wise interleaving step that performs group-wise interleaving that interleaves the code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and bit group 0 of the 17280-bit LDPC code or a sequence of 47, bit group
23 42 33 17 37 2 22 14 21 0 12 44 30 1 25 35 46 13 10 24 20 15 45 31 41 43 28 36 16 4 32 18 3 6 34 11 40 5 38 27 29 8 26 7 39 9 47 19
, and the parity check matrix is an M1 row K column represented by a predetermined value M1 and the information length K = N × r of the LDPC code, the upper left A matrix of the parity check matrix, M1 row M1 A staircase-structured B matrix adjacent to the right of said A matrix, and a Z matrix of M1 rows and NK-M1 columns, which is a zero matrix adjacent to the right of said B matrix, and NK-M1 rows and K+M1 columns of columns. , a C matrix adjacent below the A matrix and the B matrix, and a D matrix that is a unit matrix adjacent to the right of the C matrix in NK-M1 rows and NK-M1 columns, and the predetermined value M1 is 720, the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing the positions of elements of 1 in the A matrix and the C matrix for every 360 columns and
416 437 444 1657 2662 4109 4405 6308 8251
75 498 687 3903 4582 7035 7650 7871 10382
394 419 474 3515 6708 7277 8703 9969 10489
167 289 612 1847 5277 5900 8326 8508 9462
196 439 620 2128 2375 2501 6902 9308 9552
154 495 623 5024 6241 8364 9996 10104 10346
230 329 661 879 1474 3222 4109 8079 8865
97 172 692 1018 1629 1752 3170 5930
359 377 712 6273 7131 7278 8292 10457
368 551 708 787 2891 6140 7195 9555
44 512 655 2196 6692 7975 8410 10727
27 94 611 5585 7258 8091 9867 10714
608 639 691 3560 6819 7492 7754 7916
46 115 214 2175 5986 7177 8589 10757
282 589 604 969 1856 2433 5742 8900
243 262 669 1330 1366 3339 5517 7517
62 392 651 4175 8349 8557 9192 10015
206 375 697 1449 2015 2390 3926 4428 5084 5236 5872 8486 9398 9997 10469
1079 1384 1664 2936 4618 5359 5455 5537 5726 5875 8044 8521 9746
791 1106 1497 1885 2682 3473 3716 4506 5671 5829 8388 8641 9454
is a receiving device/method comprising a decoding unit/step for decoding the LDPC code obtained from data transmitted by the transmission method.

In the third receiving device/method of the present technology, the LDPC code obtained from the data transmitted by the third transmission method is decoded.

A fourth transmission method / device of the present technology is an encoding step / unit that performs LDPC encoding based on an LDPC code parity check matrix with a code length N of 17280 bits and a coding rate r of 8/16; A group-wise interleaving step/unit that performs group-wise interleaving that interleaves the LDPC code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 of 16 QAM 2D-NUC and a mapping step/unit that maps to any of the signal points, and in the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is set as a bit group i, and the 17280-bit Bit groups 0 to 47 of the LDPC code
7 0 8 39 17 3 32 2 13 19 16 14 5 10 27 35 45 26 44 43 11 24 28 34 20 29 22 41 18 9 37 12 21 4 46 33 15 36 42 1 40 25 23 3 0 6 38 31 47
and interleaved, the LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is , a parity check matrix initial value table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for every 360 columns,
516 1070 1128 1352 1441 1482 2437 5049 5157 5266 5585 5716 6907 8094
299 4342 4520 4988 5163 5453 5731 5752 6985 7155 8031 8407 8519 8618
178 181 743 814 1188 1313 1384 1769 1838 1930 1968 2123 2487 2497 2829 2852 3220 3245 3936 4054 4358 4397 4482 4514 4567 4711 4785 5217 6030 6747 7127 7254 7845 8552
125 430 594 628 641 740 1895 2007 2148 2363 2790 2920 3158 3493 3768 3805 3896 5067 5103 5121 5292 5764 5857 5948 6338 65 23 6578 6880 7303 7557 8242 8371 8387 8634
1631 2139 2453 2544 5442 6255
127 2676 3774 4289 5764 7450
1270 1856 2025 2065 3259 7787
645 1648 5077 6644 6650 8198
485 904 4510
624 4137 7388
724 4865 8587
1247 4729 6266
5604 6147 6898
63 4763 6319
930 6174 7453
981 2960 8486
4286 4304 8058
1460 6205 7561
2339 2998 8002
1824 6660 8286
4264 5378 7779
4145 6343 8515
5007 6959 7845
1853 6196 8289
is a transmission method/apparatus.

In the fourth transmission method / device of the present technology, the code length N is 17280 bits, the coding rate r is based on the parity check matrix of the LDPC code of 8/16, LDPC encoding is performed, and the LDPC code is , group-wise interleaving is performed by interleaving in units of 360-bit bit groups. Then, the LDPC code is mapped to one of 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM in units of 4 bits. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
7 0 8 39 17 3 32 2 13 19 16 14 5 10 27 35 45 26 44 43 11 24 28 34 20 29 22 41 18 9 37 12 21 4 46 33 15 36 42 1 40 25 23 3 0 6 38 31 47
are interleaved alongside. The LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is a parity check matrix initial value. table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for each 360 columns,
516 1070 1128 1352 1441 1482 2437 5049 5157 5266 5585 5716 6907 8094
299 4342 4520 4988 5163 5453 5731 5752 6985 7155 8031 8407 8519 8618
178 181 743 814 1188 1313 1384 1769 1838 1930 1968 2123 2487 2497 2829 2852 3220 3245 3936 4054 4358 4397 4482 4514 4567 4711 4785 5217 6030 6747 7127 7254 7845 8552
125 430 594 628 641 740 1895 2007 2148 2363 2790 2920 3158 3493 3768 3805 3896 5067 5103 5121 5292 5764 5857 5948 6338 65 23 6578 6880 7303 7557 8242 8371 8387 8634
1631 2139 2453 2544 5442 6255
127 2676 3774 4289 5764 7450
1270 1856 2025 2065 3259 7787
645 1648 5077 6644 6650 8198
485 904 4510
624 4137 7388
724 4865 8587
1247 4729 6266
5604 6147 6898
63 4763 6319
930 6174 7453
981 2960 8486
4286 4304 8058
1460 6205 7561
2339 2998 8002
1824 6660 8286
4264 5378 7779
4145 6343 8515
5007 6959 7845
1853 6196 8289
It has become.

A fourth receiving apparatus/method of the present technology is an encoding step of performing LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and a coding rate r of 8/16; A group-wise interleaving step that performs group-wise interleaving that interleaves the code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and bit group 0 of the 17280-bit LDPC code or a sequence of 47, bit group
7 0 8 39 17 3 32 2 13 19 16 14 5 10 27 35 45 26 44 43 11 24 28 34 20 29 22 41 18 9 37 12 21 4 46 33 15 36 42 1 40 25 23 3 0 6 38 31 47
and interleaved, the LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is , a parity check matrix initial value table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for every 360 columns,
516 1070 1128 1352 1441 1482 2437 5049 5157 5266 5585 5716 6907 8094
299 4342 4520 4988 5163 5453 5731 5752 6985 7155 8031 8407 8519 8618
178 181 743 814 1188 1313 1384 1769 1838 1930 1968 2123 2487 2497 2829 2852 3220 3245 3936 4054 4358 4397 4482 4514 4567 4711 4785 5217 6030 6747 7127 7254 7845 8552
125 430 594 628 641 740 1895 2007 2148 2363 2790 2920 3158 3493 3768 3805 3896 5067 5103 5121 5292 5764 5857 5948 6338 65 23 6578 6880 7303 7557 8242 8371 8387 8634
1631 2139 2453 2544 5442 6255
127 2676 3774 4289 5764 7450
1270 1856 2025 2065 3259 7787
645 1648 5077 6644 6650 8198
485 904 4510
624 4137 7388
724 4865 8587
1247 4729 6266
5604 6147 6898
63 4763 6319
930 6174 7453
981 2960 8486
4286 4304 8058
1460 6205 7561
2339 2998 8002
1824 6660 8286
4264 5378 7779
4145 6343 8515
5007 6959 7845
1853 6196 8289
is a receiving device/method comprising a decoding unit/step for decoding the LDPC code obtained from data transmitted by the transmission method.

In the fourth receiving device/method of the present technology, the LDPC code obtained from the data transmitted by the fourth transmission method is decoded.

A fifth transmission method/apparatus of the present technology includes an encoding step/unit that performs LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 10/16; A group-wise interleaving step/unit that performs group-wise interleaving that interleaves the LDPC code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 of 16 QAM 2D-NUC and a mapping step/unit that maps to any of the signal points, and in the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is set as a bit group i, and the 17280-bit Bit groups 0 to 47 of the LDPC code
1 28 12 35 23 36 24 17 10 14 15 37 18 13 41 38 33 29 16 21 27 4 9 31 45 40 0 46 7 43 30 34 8 44 47 2 20 6 42 3 22 39 5 32 11 19 25 26
and interleaved, the LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is , a parity check matrix initial value table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for every 360 columns,
579 608 613 760 795 839 910 1895 2239 2535 2670 2871 3127 3316 3779 3829 3936 4454 4772 4926 6048 6166 6352
263 291 694 1172 1232 1925 2657 3037 3057 3400 3550 3812 4185 4325 5202 5441 5479 5640 5864 5892 6154 6157 6227
527 601 1254 1476 1760 2070 2099 2725 2961 3529 3591 4324 4393 4462 4841 5070 5480 5698 5856 5865 6087 6446
235 319 480 2036 2188 2358 2423 2510 2911 3225 3472 3677 3840 4409 4574 4892 5119 5548 5805 5901 6290 6477
1809 2974 3464 5295 5490 5671
2148 3629 4304 4854 4876 6037
2031 2246 3358 4679 6125 6331
874 2483 2964 3872 4509 4904
4001 4303 5079
1652 4524 5263
2551 3381 5524
713 1908 6304
2722 3347 6201
433 923 5564
2181 4242 6202
51 2711 4435
414 708 5539
2222 5036 5974
784 3588 5125
4256 5004 5540
1761 2781 6037
1547 2266 4377
4109 5836 6337
767 2468 4764
2528 5457 5872
884 4651 4807
161 3582 5164
744 2624 4852
239 1740 5807
33 3595 5121
is a transmission method/apparatus.

In the fifth transmission method / device of the present technology, the code length N is 17280 bits, and the coding rate r is based on the parity check matrix of the LDPC code of 10/16, LDPC encoding is performed, and the LDPC code is , group-wise interleaving is performed by interleaving in units of 360-bit bit groups. Then, the LDPC code is mapped to one of 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM in units of 4 bits. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
1 28 12 35 23 36 24 17 10 14 15 37 18 13 41 38 33 29 16 21 27 4 9 31 45 40 0 46 7 43 30 34 8 44 47 2 20 6 42 3 22 39 5 32 11 19 25 26
are interleaved alongside. The LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is a parity check matrix initial value. table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for each 360 columns,
579 608 613 760 795 839 910 1895 2239 2535 2670 2871 3127 3316 3779 3829 3936 4454 4772 4926 6048 6166 6352
263 291 694 1172 1232 1925 2657 3037 3057 3400 3550 3812 4185 4325 5202 5441 5479 5640 5864 5892 6154 6157 6227
527 601 1254 1476 1760 2070 2099 2725 2961 3529 3591 4324 4393 4462 4841 5070 5480 5698 5856 5865 6087 6446
235 319 480 2036 2188 2358 2423 2510 2911 3225 3472 3677 3840 4409 4574 4892 5119 5548 5805 5901 6290 6477
1809 2974 3464 5295 5490 5671
2148 3629 4304 4854 4876 6037
2031 2246 3358 4679 6125 6331
874 2483 2964 3872 4509 4904
4001 4303 5079
1652 4524 5263
2551 3381 5524
713 1908 6304
2722 3347 6201
433 923 5564
2181 4242 6202
51 2711 4435
414 708 5539
2222 5036 5974
784 3588 5125
4256 5004 5540
1761 2781 6037
1547 2266 4377
4109 5836 6337
767 2468 4764
2528 5457 5872
884 4651 4807
161 3582 5164
744 2624 4852
239 1740 5807
33 3595 5121
It has become.

A fifth receiving apparatus/method of the present technology is an encoding step of performing LDPC encoding based on a parity check matrix of an LDPC code having a code length N of 17280 bits and a coding rate r of 10/16; A group-wise interleaving step that performs group-wise interleaving that interleaves the code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and bit group 0 of the 17280-bit LDPC code or a sequence of 47, bit group
1 28 12 35 23 36 24 17 10 14 15 37 18 13 41 38 33 29 16 21 27 4 9 31 45 40 0 46 7 43 30 34 8 44 47 2 20 6 42 3 22 39 5 32 11 19 25 26
and interleaved, the LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is , is represented by a check matrix initial value table, wherein the check matrix initial value table is a table representing the position of one element in the information matrix part for every 360 columns,
579 608 613 760 795 839 910 1895 2239 2535 2670 2871 3127 3316 3779 3829 3936 4454 4772 4926 6048 6166 6352
263 291 694 1172 1232 1925 2657 3037 3057 3400 3550 3812 4185 4325 5202 5441 5479 5640 5864 5892 6154 6157 6227
527 601 1254 1476 1760 2070 2099 2725 2961 3529 3591 4324 4393 4462 4841 5070 5480 5698 5856 5865 6087 6446
235 319 480 2036 2188 2358 2423 2510 2911 3225 3472 3677 3840 4409 4574 4892 5119 5548 5805 5901 6290 6477
1809 2974 3464 5295 5490 5671
2148 3629 4304 4854 4876 6037
2031 2246 3358 4679 6125 6331
874 2483 2964 3872 4509 4904
4001 4303 5079
1652 4524 5263
2551 3381 5524
713 1908 6304
2722 3347 6201
433 923 5564
2181 4242 6202
51 2711 4435
414 708 5539
2222 5036 5974
784 3588 5125
4256 5004 5540
1761 2781 6037
1547 2266 4377
4109 5836 6337
767 2468 4764
2528 5457 5872
884 4651 4807
161 3582 5164
744 2624 4852
239 1740 5807
33 3595 5121
is a receiving device/method comprising a decoding unit/step for decoding the LDPC code obtained from data transmitted by the transmission method.

In the fifth receiving device/method of the present technology, the LDPC code obtained from the data transmitted by the fifth transmission method is decoded.

A sixth transmission method/apparatus of the present technology includes an encoding step/unit that performs LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 12/16; A group-wise interleaving step/unit that performs group-wise interleaving that interleaves the LDPC code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 of 16 QAM 2D-NUC and a mapping step/unit that maps to any of the signal points, and in the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is set as a bit group i, and the 17280-bit Bit groups 0 to 47 of the LDPC code
9 8 3 40 27 4 7 45 28 29 14 41 20 6 21 5 36 12 31 39 30 15 37 10 34 25 1 47 26 13 32 43 44 24 33 16 42 2 22 19 18 35 23 4 6 11 17 38 0
and interleaved, the LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is , a parity check matrix initial value table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for every 360 columns,
137 199 292 423 527 694 798 2233 2339 2948 2986 3261 3284 3410 3612 3866 4296
633 691 1035 1038 1250 1476 1885 2332 2871 3064 3186 3785 4114 4205 4213 4280 4291
136 166 369 677 878 1119 1360 1401 1501 1823 1950 2492 2760 2843 3151 3168 3189
23 27 74 90 779 1085 1204 1364 1846 2594 2971 3075 3373 3486 4030 4037 4044
286 789 1412 1513 2388 2407 2725 2757 2790 2839 3111 3227 3292 3596 3665 3710 4147
79 178 389 447 608 625 672 786 965 1258 1605 1677 1816 1910 3027 3815 4292
208 2694 3685
480 770 791
261 3447 3751
1271 2122 3312
134 352 1592
517 1877 2106
173 693 1792
1975 2062 3529
734 1035 1136
546 863 4212
817 2712 3692
415 3771 4305
646 1514 3870
1481 2675 4276
454 2248 2517
1073 1754 2107
1170 1472 3699
841 2243 3804
2485 3636 3894
1961 2302 3591
225 2704 3938
487 1067 3992
2747 3054 3661
2476 2885 3456
242 487 4018
2037 2511 4232
1278 1636 3609
1099 1450 3842
1299 1632 1717
545 4160 4295
is a transmission method/apparatus.

In the sixth transmission method / device of the present technology, the code length N is 17280 bits, the coding rate r is based on the parity check matrix of the LDPC code of 12/16, LDPC encoding is performed, and the LDPC code is , group-wise interleaving is performed by interleaving in units of 360-bit bit groups. Then, the LDPC code is mapped to one of 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM in units of 4 bits. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
9 8 3 40 27 4 7 45 28 29 14 41 20 6 21 5 36 12 31 39 30 15 37 10 34 25 1 47 26 13 32 43 44 24 33 16 42 2 22 19 18 35 23 4 6 11 17 38 0
are interleaved alongside. The LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is a parity check matrix initial value. table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for each 360 columns,
137 199 292 423 527 694 798 2233 2339 2948 2986 3261 3284 3410 3612 3866 4296
633 691 1035 1038 1250 1476 1885 2332 2871 3064 3186 3785 4114 4205 4213 4280 4291
136 166 369 677 878 1119 1360 1401 1501 1823 1950 2492 2760 2843 3151 3168 3189
23 27 74 90 779 1085 1204 1364 1846 2594 2971 3075 3373 3486 4030 4037 4044
286 789 1412 1513 2388 2407 2725 2757 2790 2839 3111 3227 3292 3596 3665 3710 4147
79 178 389 447 608 625 672 786 965 1258 1605 1677 1816 1910 3027 3815 4292
208 2694 3685
480 770 791
261 3447 3751
1271 2122 3312
134 352 1592
517 1877 2106
173 693 1792
1975 2062 3529
734 1035 1136
546 863 4212
817 2712 3692
415 3771 4305
646 1514 3870
1481 2675 4276
454 2248 2517
1073 1754 2107
1170 1472 3699
841 2243 3804
2485 3636 3894
1961 2302 3591
225 2704 3938
487 1067 3992
2747 3054 3661
2476 2885 3456
242 487 4018
2037 2511 4232
1278 1636 3609
1099 1450 3842
1299 1632 1717
545 4160 4295
It has become.

A sixth receiving apparatus/method of the present technology is an encoding step of performing LDPC encoding based on a parity check matrix of an LDPC code having a code length N of 17280 bits and a coding rate r of 12/16; A group-wise interleaving step that performs group-wise interleaving that interleaves the code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and bit group 0 of the 17280-bit LDPC code or a sequence of 47, bit group
9 8 3 40 27 4 7 45 28 29 14 41 20 6 21 5 36 12 31 39 30 15 37 10 34 25 1 47 26 13 32 43 44 24 33 16 42 2 22 19 18 35 23 4 6 11 17 38 0
and interleaved, the LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is , a parity check matrix initial value table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for every 360 columns,
137 199 292 423 527 694 798 2233 2339 2948 2986 3261 3284 3410 3612 3866 4296
633 691 1035 1038 1250 1476 1885 2332 2871 3064 3186 3785 4114 4205 4213 4280 4291
136 166 369 677 878 1119 1360 1401 1501 1823 1950 2492 2760 2843 3151 3168 3189
23 27 74 90 779 1085 1204 1364 1846 2594 2971 3075 3373 3486 4030 4037 4044
286 789 1412 1513 2388 2407 2725 2757 2790 2839 3111 3227 3292 3596 3665 3710 4147
79 178 389 447 608 625 672 786 965 1258 1605 1677 1816 1910 3027 3815 4292
208 2694 3685
480 770 791
261 3447 3751
1271 2122 3312
134 352 1592
517 1877 2106
173 693 1792
1975 2062 3529
734 1035 1136
546 863 4212
817 2712 3692
415 3771 4305
646 1514 3870
1481 2675 4276
454 2248 2517
1073 1754 2107
1170 1472 3699
841 2243 3804
2485 3636 3894
1961 2302 3591
225 2704 3938
487 1067 3992
2747 3054 3661
2476 2885 3456
242 487 4018
2037 2511 4232
1278 1636 3609
1099 1450 3842
1299 1632 1717
545 4160 4295
is a receiving device/method comprising a decoding unit/step for decoding the LDPC code obtained from data transmitted by the transmission method.

In the sixth receiving device/method of the present technology, the LDPC code obtained from the data transmitted by the sixth transmission method is decoded.

A seventh transmission method / device of the present technology is an encoding step / unit that performs LDPC encoding based on an LDPC code parity check matrix with a code length N of 17280 bits and a coding rate r of 14/16; A group-wise interleaving step/unit that performs group-wise interleaving that interleaves the LDPC code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 of 16 QAM 2D-NUC and a mapping step/unit that maps to any of the signal points, and in the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is set as a bit group i, and the 17280-bit Bit groups 0 to 47 of the LDPC code
12 42 40 41 20 18 27 24 39 6 0 15 8 31 10 3 13 46 4 37 33 25 44 2 16 23 28 14 17 43 45 1 35 38 26 21 36 22 47 11 34 29 30 32 19 7 5 9
and interleaved, the LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is , a parity check matrix initial value table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for every 360 columns,
337 376 447 504 551 864 872 975 1136 1225 1254 1271 1429 1478 1870 2122
58 121 163 365 515 534 855 889 1083 1122 1190 1448 1476 1635 1691 1954
247 342 395 454 479 665 674 1033 1041 1198 1300 1484 1680 1941 2096 2121
80 487 500 513 661 970 1038 1095 1109 1133 1416 1545 1696 1992 2051 2089
32 101 205 413 568 712 714 944 1329 1669 1703 1826 1904 1908 2014 2097
142 201 491 838 860 954 960 965 997 1027 1225 1488 1502 1521 1737 1804
453 1184 1542
10 781 1709
497 903 1546
1080 1640 1861
1198 1616 1817
771 978 2089
369 1079 1348
980 1788 1987
1495 1900 2015
27 540 1070
200 1771 1962
863 988 1329
674 1321 2152
807 1458 1727
844 867 1628
227 546 1027
408 926 1413
361 982 2087
1247 1288 1392
1051 1070 1281
325 452 467
1116 1672 1833
21 236 1267
504 856 2123
398 775 1912
1056 1529 1701
143 930 1186
553 1029 1040
303 653 1308
877 992 1174
1083 1134 1355
298 404 709
970 1272 1799
296 1017 1873
105 780 1418
682 1247 1867
is a transmission method/apparatus.

In the seventh transmission method / device of the present technology, the code length N is 17280 bits, the coding rate r is based on the parity check matrix of the LDPC code of 14/16, LDPC encoding is performed, and the LDPC code is , group-wise interleaving is performed by interleaving in units of 360-bit bit groups. Then, the LDPC code is mapped to one of 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM in units of 4 bits. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
12 42 40 41 20 18 27 24 39 6 0 15 8 31 10 3 13 46 4 37 33 25 44 2 16 23 28 14 17 43 45 1 35 38 26 21 36 22 47 11 34 29 30 32 19 7 5 9
are interleaved alongside. The LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is a parity check matrix initial value. table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for each 360 columns,
337 376 447 504 551 864 872 975 1136 1225 1254 1271 1429 1478 1870 2122
58 121 163 365 515 534 855 889 1083 1122 1190 1448 1476 1635 1691 1954
247 342 395 454 479 665 674 1033 1041 1198 1300 1484 1680 1941 2096 2121
80 487 500 513 661 970 1038 1095 1109 1133 1416 1545 1696 1992 2051 2089
32 101 205 413 568 712 714 944 1329 1669 1703 1826 1904 1908 2014 2097
142 201 491 838 860 954 960 965 997 1027 1225 1488 1502 1521 1737 1804
453 1184 1542
10 781 1709
497 903 1546
1080 1640 1861
1198 1616 1817
771 978 2089
369 1079 1348
980 1788 1987
1495 1900 2015
27 540 1070
200 1771 1962
863 988 1329
674 1321 2152
807 1458 1727
844 867 1628
227 546 1027
408 926 1413
361 982 2087
1247 1288 1392
1051 1070 1281
325 452 467
1116 1672 1833
21 236 1267
504 856 2123
398 775 1912
1056 1529 1701
143 930 1186
553 1029 1040
303 653 1308
877 992 1174
1083 1134 1355
298 404 709
970 1272 1799
296 1017 1873
105 780 1418
682 1247 1867
It has become.

A seventh receiving apparatus/method of the present technology is an encoding step of performing LDPC encoding based on a parity check matrix of an LDPC code having a code length N of 17280 bits and a coding rate r of 14/16; A group-wise interleaving step that performs group-wise interleaving that interleaves the code in units of 360-bit bit groups, and the LDPC code in units of 4 bits, 16 signal points of 2D-NUC (Non-Uniform Constellation) of 16QAM. In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is bit group i, and bit group 0 of the 17280-bit LDPC code or a sequence of 47, bit group
12 42 40 41 20 18 27 24 39 6 0 15 8 31 10 3 13 46 4 37 33 25 44 2 16 23 28 14 17 43 45 1 35 38 26 21 36 22 47 11 34 29 30 32 19 7 5 9
and interleaved, the LDPC code includes information bits and parity bits, the parity check matrix includes an information matrix section corresponding to the information bits and a parity matrix section corresponding to the parity bits, and the information matrix section is , a parity check matrix initial value table, wherein the parity check matrix initial value table is a table representing the position of one element in the information matrix part for every 360 columns,
337 376 447 504 551 864 872 975 1136 1225 1254 1271 1429 1478 1870 2122
58 121 163 365 515 534 855 889 1083 1122 1190 1448 1476 1635 1691 1954
247 342 395 454 479 665 674 1033 1041 1198 1300 1484 1680 1941 2096 2121
80 487 500 513 661 970 1038 1095 1109 1133 1416 1545 1696 1992 2051 2089
32 101 205 413 568 712 714 944 1329 1669 1703 1826 1904 1908 2014 2097
142 201 491 838 860 954 960 965 997 1027 1225 1488 1502 1521 1737 1804
453 1184 1542
10 781 1709
497 903 1546
1080 1640 1861
1198 1616 1817
771 978 2089
369 1079 1348
980 1788 1987
1495 1900 2015
27 540 1070
200 1771 1962
863 988 1329
674 1321 2152
807 1458 1727
844 867 1628
227 546 1027
408 926 1413
361 982 2087
1247 1288 1392
1051 1070 1281
325 452 467
1116 1672 1833
21 236 1267
504 856 2123
398 775 1912
1056 1529 1701
143 930 1186
553 1029 1040
303 653 1308
877 992 1174
1083 1134 1355
298 404 709
970 1272 1799
296 1017 1873
105 780 1418
682 1247 1867
is a receiving device/method comprising a decoding unit/step for decoding the LDPC code obtained from data transmitted by the transmission method.

In the seventh receiving device/method of the present technology, the LDPC code obtained from the data transmitted by the seventh transmission method is decoded.

The transmitting device and the receiving device may be independent devices, or may be internal blocks forming one device.

According to the present technology, it is possible to ensure good communication quality in data transmission using LDPC codes.

Note that the effects described here are not necessarily limited, and may be any of the effects described in the present disclosure.

FIG. 3 is a diagram for explaining parity check matrix H of an LDPC code; 10 is a flowchart for explaining the decoding procedure of an LDPC code; FIG. 4 is a diagram showing an example of a parity check matrix of an LDPC code; It is a figure which shows the example of the Tanner graph of a parity check matrix. FIG. 10 is a diagram showing an example of a variable node; FIG. FIG. 4 is a diagram showing an example of check nodes; 1 is a diagram illustrating a configuration example of an embodiment of a transmission system to which the present technology is applied; FIG. 2 is a block diagram showing a configuration example of a transmission device 11; FIG. 3 is a block diagram showing a configuration example of a bit interleaver 116; FIG. It is a figure which shows the example of a parity check matrix. FIG. 4 is a diagram showing an example of a parity matrix; FIG. 2 is a diagram illustrating a parity check matrix of an LDPC code stipulated in the DVB-T.2 standard; FIG. 2 is a diagram illustrating a parity check matrix of an LDPC code stipulated in the DVB-T.2 standard; FIG. 10 is a diagram showing an example of a Tanner graph for decoding an LDPC code; FIG. 3 is a diagram showing an example of a parity matrix H _T having a staircase structure and a Tanner graph corresponding to the parity matrix H _T ; FIG. 4 is a diagram showing an example of parity matrix H _T of parity check matrix H corresponding to an LDPC code after parity interleaving; 4 is a flowchart illustrating an example of processing performed by a bit interleaver 116 and a mapper 117; 3 is a block diagram showing a configuration example of an LDPC encoder 115; FIG. 4 is a flowchart for explaining an example of processing of the LDPC encoder 115; FIG. 10 is a diagram showing an example of a parity check matrix initial value table with a coding rate of 1/4 and a code length of 16200; FIG. 10 is a diagram illustrating a method of obtaining a parity check matrix H from a parity check matrix initial value table; It is a figure which shows the structure of a parity check matrix. It is a figure which shows the example of a parity check matrix initial value table. FIG. 10 is a diagram illustrating an A matrix generated from a parity check matrix initial value table; FIG. 10 is a diagram illustrating parity interleaving of a B matrix; FIG. 4 is a diagram illustrating a C matrix generated from a check matrix initial value table; FIG. 4 is a diagram explaining parity interleaving of a D matrix; FIG. 10 is a diagram showing a parity check matrix that has been subjected to column permutation as parity deinterleaving for restoring parity interleaving. FIG. 4 is a diagram showing a transformed parity check matrix obtained by performing row permutation on a parity check matrix; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type A code with N=17280 bits and r=2/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type A code with N=17280 bits and r=3/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type A code with N=17280 bits and r=4/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type A code with N=17280 bits and r=5/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type A code with N=17280 bits and r=6/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type A code with N=17280 bits and r=7/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type B code with N=17280 bits and r=7/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type B code with N=17280 bits and r=8/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type B code with N=17280 bits and r=9/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type B code with N=17280 bits and r=10/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type B code with N=17280 bits and r=11/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type B code with N=17280 bits and r=12/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type B code with N=17280 bits and r=13/16; FIG. 10 is a diagram showing an example of a parity check matrix initial value table for a type B code with N=17280 bits and r=14/16; FIG. 10 is an example of a Tanner graph for an ensemble of degree sequences with a column weight of 3 and a row weight of 6; FIG. 10 is a diagram showing an example of a Tanner graph of a multi-edge type ensemble; FIG. 4 is a diagram explaining a parity check matrix of the type A scheme; FIG. 4 is a diagram explaining a parity check matrix of the type A scheme; FIG. 4 is a diagram for explaining a parity check matrix of the type B scheme; FIG. 4 is a diagram for explaining a parity check matrix of the type B scheme; FIG. 10 is a diagram showing a parity check matrix initial value table of a new type A code with N=17280 bits and r=4/16; FIG. 10 is a diagram showing parameters of parity check matrix H of new type A code with r=4/16; FIG. 10 is a diagram showing a parity check matrix initial value table of a new type B code with N=17280 bits and r=9/16; FIG. 10 is a diagram showing parameters of parity check matrix H of new type B code with r=9/16; FIG. 4 is a diagram showing an example of coordinates of UC signal points when the modulation scheme is QPSK; FIG. 10 is a diagram showing an example of coordinates of signal points of a 2D-NUC when the modulation scheme is 16QAM; FIG. 4 is a diagram showing an example of coordinates of signal points of a 1D-NUC when the modulation scheme is 1024QAM; FIG. 4 is a diagram showing the relationship between a 1024QAM symbol y and a position vector u. FIG. 4 is a diagram showing an example of coordinates z _q of signal points in QPSK-UC; FIG. 4 is a diagram showing an example of coordinates z _q of signal points in QPSK-UC; FIG. 4 is a diagram showing an example of coordinates z _q of signal points in 16QAM-UC; FIG. 4 is a diagram showing an example of coordinates z _q of signal points in 16QAM-UC; FIG. 10 is a diagram showing an example of coordinates z _q of signal points in 64QAM-UC; FIG. 10 is a diagram showing an example of coordinates z _q of signal points in 64QAM-UC; FIG. 4 is a diagram showing an example of coordinates z _q of signal points of 256QAM-UC; FIG. 4 is a diagram showing an example of coordinates z _q of signal points of 256QAM-UC; FIG. 10 is a diagram showing an example of coordinates z _q of signal points of 1024QAM-UC; FIG. 10 is a diagram showing an example of coordinates z _q of signal points of 1024QAM-UC; FIG. 10 is a diagram showing an example of coordinates z _q of signal points of 4096QAM-UC; FIG. 10 is a diagram showing an example of coordinates z _q of signal points of 4096QAM-UC; FIG. 10 is a diagram showing an example of coordinates _zs of signal points of 16QAM-2D-NUC; FIG. 10 is a diagram showing an example of coordinates _zs of signal points of 64QAM-2D-NUC; FIG. 10 is a diagram showing an example of coordinates _zs of signal points of 256QAM-2D-NUC; FIG. 10 is a diagram showing an example of coordinates _zs of signal points of 256QAM-2D-NUC; FIG. 10 is a diagram showing an example of coordinates _zs of signal points of 1024QAM-1D-NUC; FIG. 4 is a diagram showing the relationship between a 1024QAM symbol y and a position vector u. FIG. 10 is a diagram showing an example of coordinates _zs of signal points of 4096QAM-1D-NUC; FIG. 4 is a diagram showing the relationship between a 4096QAM symbol y and a position vector u. FIG. 4 is a diagram showing the relationship between a 4096QAM symbol y and a position vector u. 4 is a diagram for explaining block interleaving performed by a block interleaver 25; FIG. 4 is a diagram for explaining block interleaving performed by a block interleaver 25; FIG. 4 is a diagram for explaining group-wise interleaving performed by a group-wise interleaver 24; FIG. FIG. 10 is a diagram showing a first example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 10 is a diagram showing a second example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 10 is a diagram showing a third example of GW patterns for an LDPC code with a code length N of 17280 bits; FIG. 10 is a diagram showing a fourth example of GW patterns for an LDPC code with a code length N of 17280 bits; FIG. 10 is a diagram showing a fifth example of GW patterns for an LDPC code with a code length N of 17280 bits; FIG. 13 is a diagram showing a sixth example of GW patterns for an LDPC code with a code length N of 17280 bits; FIG. 12 is a diagram showing a seventh example of GW patterns for an LDPC code with a code length N of 17280 bits; FIG. 10 is a diagram showing an eighth example of GW patterns for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a ninth example of GW patterns for an LDPC code with a code length N of 17280 bits; FIG. 10 is a diagram showing a tenth example of GW patterns for an LDPC code with a code length N of 17280 bits; FIG. 11 is a diagram showing an eleventh example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a twelfth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a thirteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a fourteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a fifteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a sixteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a seventeenth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing an eighteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a nineteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a twentieth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 21 is a diagram showing a twenty-first example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 12 is a diagram showing a twenty-second example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 13 is a diagram showing a twenty-third example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 10 is a diagram showing a twenty-fourth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 13 is a diagram showing a twenty-fifth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a twenty-sixth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a twenty-seventh example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 13 is a diagram showing a twenty-eighth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a twenty-ninth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a thirtieth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a thirty-first example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 12 is a diagram showing a thirty-second example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a thirty-third example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 13 is a diagram showing a thirty-fourth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a thirty-fifth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a thirty-sixth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a thirty-seventh example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a thirty-eighth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a thirty-ninth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 13 is a diagram showing a 40th example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 13 is a diagram showing a forty-first example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a forty-second example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 13 is a diagram showing a forty-third example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a forty-fourth example of a GW pattern for an LDPC code with a code length N of 17280 bits; FIG. 20 is a diagram showing a forty-fifth example of a GW pattern for an LDPC code with a code length N of 17280 bits; 2 is a block diagram showing a configuration example of a receiving device 12; FIG. 3 is a block diagram showing a configuration example of a bit deinterleaver 165; FIG. FIG. 10 is a flowchart illustrating an example of processing performed by a demapper 164, a bit deinterleaver 165, and an LDPC decoder 166; FIG. FIG. 4 is a diagram showing an example of a parity check matrix of an LDPC code; FIG. 10 is a diagram showing an example of a matrix (transformed parity check matrix) obtained by subjecting a parity check matrix to row permutation and column permutation; It is a figure which shows the example of the conversion check matrix divided|segmented into 5x5 units. FIG. 4 is a block diagram showing a configuration example of a decoding device that performs P node operations collectively; 3 is a block diagram showing a configuration example of an LDPC decoder 166; FIG. 4 is a diagram for explaining block deinterleaving performed by a block deinterleaver 54; FIG. FIG. 12 is a block diagram showing another configuration example of the bit deinterleaver 165; 1 is a block diagram showing a first configuration example of a reception system to which a reception device 12 can be applied; FIG. FIG. 4 is a block diagram showing a second configuration example of a receiving system to which the receiving device 12 is applicable; FIG. 11 is a block diagram showing a third configuration example of a receiving system to which the receiving device 12 is applicable; 1 is a block diagram showing a configuration example of an embodiment of a computer to which the present technology is applied; FIG.

Hereinafter, embodiments of the present technology will be described, but before that, LDPC codes will be described.

<LDPC code>

Note that the LDPC code is a linear code and does not necessarily have to be binary, but here it will be described as being binary.

The LDPC code is most characterized in that the parity check matrix defining the LDPC code is sparse. Here, a sparse matrix is a matrix in which the number of "1"s in matrix elements is very small (a matrix in which most of the elements are 0).

FIG. 1 is a diagram showing an example of parity check matrix H of an LDPC code.

In the parity check matrix H of FIG. 1, the weight of each column (column weight) (the number of "1"s) is "3", and the weight of each row (row weight) is "6". .

In coding by LDPC code (LDPC coding), for example, a generator matrix G is generated based on parity check matrix H, and by multiplying binary information bits by this generator matrix G, a codeword (LDPC code ) is generated.

Specifically, an encoding device that performs LDPC encoding first calculates a generator matrix G that satisfies the formula G ^T =0 between the parity check matrix H and the transposed matrix H ^T . Here, when the generator matrix G is a K×N matrix, the encoding device multiplies the generator matrix G by a bit string of information bits (vector u) consisting of K bits to obtain a code consisting of N bits. Generate the word c(=uG). A codeword (LDPC code) generated by this encoding device is received by the receiving side via a predetermined communication channel.

The decoding of the LDPC code is an algorithm proposed by Gallager called Probabilistic Decoding, which consists of a variable node (also called a message node) and a check node. can be done by a message passing algorithm by belief propagation on a so-called Tanner graph. Here, hereinafter, the variable node and the check node are also simply referred to as nodes as appropriate.

FIG. 2 is a flow chart showing the procedure for decoding an LDPC code.

Hereinafter, a real value (receiving LLR ) is also called the received value u _0i . Let u _j be the message output from the check node, and v _i be the message output from the variable node.

First, in the decoding of the LDPC code, as shown in FIG. 2, in step S11, the LDPC code is received, the message (check node message) u _j is initialized to "0", and as a counter for the iterative process is initialized to "0", and the process proceeds to step S12. In step S12, the message (variable node message) v _i is obtained by performing the calculation (variable node calculation) shown in Equation (1) based on the received value u _0i obtained by receiving the LDPC code, and further, Based on this message v _i , message u _j is obtained by performing the operation (check node operation) shown in Equation (2).

・・・（１）

... (1)

・・・（２）

... (2)

Here, d _v and d _c in equations (1) and (2) can be arbitrarily selected to indicate the number of “1”s in the vertical direction (column) and the horizontal direction (row) of parity check matrix H, respectively. parameter. For example, in the case of an LDPC code ((3,6) LDPC code) for parity check matrix H with a _column weight of 3 and a _row weight of 6 as shown in FIG. Become.

In addition, in the variable node calculation of formula (1) and the check node calculation of (2), the message input from the edge (the line connecting the variable node and the check node) to output the message is is not subject to calculation, the range of calculation is 1 to d _v -1 or 1 to d _c -1. In addition, the check node operation of formula (2) actually creates in advance a table of function R(v ₁ , v ₂ ) shown in formula (3) defined by one output for two inputs v ₁ and v ₂ . This is done by continuously (recursively) using this as shown in equation (4).

・・・（３）

... (3)

・・・（４）

... (4)

In step S12, the variable k is incremented by "1", and the process proceeds to step S13. In step S13, it is determined whether or not the variable k is greater than a predetermined iterative decoding number C. If it is determined in step S13 that the variable k is not greater than C, the process returns to step S12, and the same processing is repeated thereafter.

If it is determined in step S13 that the variable k is greater than C, the process proceeds to step S14, where the message v _i as the decoding result to be finally output is obtained by performing the calculation shown in equation (5). is output, and the decoding process of the LDPC code ends.

・・・（５）

... (5)

Here, the computation of equation (5) is performed using messages u _j from all branches connected to the variable node, unlike the variable node computation of equation (1).

FIG. 3 is a diagram showing an example of parity check matrix H of (3,6) LDPC code (coding rate ½, code length 12).

In the parity check matrix H of FIG. 3, the column weight is 3 and the row weight is 6, as in FIG.

FIG. 4 is a diagram showing a Tanner graph of the parity check matrix H of FIG.

Here, in FIG. 4, a check node is represented by a plus "+", and a variable node is represented by an equals "=". A check node and a variable node correspond to rows and columns of the parity check matrix H, respectively. A connection between the check node and the variable node is an edge, which corresponds to the element "1" of the parity check matrix.

That is, when the element of the j-th row and i-th column of the parity check matrix is 1, in FIG. +" nodes) are connected by branches. A branch indicates that a code bit corresponding to a variable node has a constraint condition corresponding to a check node.

In the Sum Product Algorithm, which is a decoding method for LDPC codes, variable node operations and check node operations are repeatedly performed.

FIG. 5 is a diagram showing variable node operations performed at variable nodes.

At the variable node, the message v _i corresponding to the branch to _be calculated is the message u ₁ and u ₂ from the remaining branches connected to the variable node and the variable node Calculated by calculation. Messages corresponding to other branches are similarly sought.

FIG. 6 is a diagram showing check node operations performed at check nodes.

Here, the check node operation of formula (2) uses the relation of formula a×b=exp{ln(|a|)+ln(|b|)}×sign(a)×sign(b), Equation (6) can be rewritten. However, sign(x) is 1 when x≧0 and -1 when x<0.

・・・（６）

... (6)

When x≧0, when the function φ(x) is defined as the formula φ(x)=ln(tanh(x/2)), the formula φ ^-1 (x)=2tanh ^-1 (e ^-x ) holds. , equation (6) can be transformed into equation (7).

・・・（７）

... (7)

At the check node, the check node operation of equation (2) is performed according to equation (7).

That is, at the check node, as shown in FIG. 6, the message u _j corresponding to the branch to be calculated is the messages v ₁ , v ₂ , v ₃ , v ₄ , v from the remaining branches connected to the check node. It is obtained by the check node operation of equation (7) using ₅ . Messages corresponding to other branches are similarly sought.

Note that the function φ(x) in Equation (7) can be expressed by the formula φ(x)=ln((e ^x +1)/(e ^x -1)), and when x>0, φ(x )=φ ⁻¹ (x). When the functions φ(x) and φ ⁻¹ (x) are implemented in hardware, they may be implemented using a LUT (Look Up Table), but both are the same LUT.

<Configuration example of transmission system to which this technology is applied>

FIG. 7 shows an example of a transmission system to which the present technology is applied (a system refers to an entity in which a plurality of devices are logically aggregated, and it does not matter whether or not devices of each configuration are in the same housing). It is a figure which shows the structural example of embodiment.

In FIG. 7, the transmission system is composed of a transmitter 11 and a receiver 12 .

The transmission device 11 transmits (broadcasts) (transmits), for example, television broadcast programs. That is, the transmitting device 11 encodes target data to be transmitted, such as image data and audio data as a program, into an LDPC code, for example, a satellite line, a terrestrial wave, a cable (wired line), etc. It transmits via the communication channel 13 .

The receiving device 12 receives the LDPC code transmitted from the transmitting device 11 via the communication channel 13, decodes it into target data, and outputs the decoded data.

Here, it is known that the LDPC code used in the transmission system of FIG. 7 exhibits extremely high performance in an AWGN (Additive White Gaussian Noise) channel.

On the other hand, the communication path 13 may generate burst errors or erasures. For example, especially when the communication channel 13 is a terrestrial wave, in an OFDM (Orthogonal Frequency Division Multiplexing) system, D/U (Desired to Undesired Ratio) is 0 dB (Undesired = echo power is equal to Desired = main path power) ), depending on the delay of the echo (paths other than the main path), the power of a particular symbol may be erasured.

Also, even in flutter (a communication channel where echo with a delay of 0 and a Doppler frequency is added), if the D/U is 0 dB, the Doppler frequency will change the OFDM at a specific time. There are cases where the power of the entire symbol is erasure.

Furthermore, due to the wiring situation from the reception unit (not shown) such as an antenna that receives the signal from the transmission device 11 to the reception device 12 on the reception device 12 side, and the unstable power supply of the reception device 12, burst errors may occur.

On the other hand, in the decoding of the LDPC code, as shown in _FIG . Since the variable node operation of equation (1) is performed with addition, if an error occurs in the sign bit used in the variable node operation, the accuracy of the desired message is reduced.

Then, in the decoding of the LDPC code, at the check node, the check node operation of Equation (7) is performed using the message obtained at the variable node connected to the check node, so that the multiple connected variable nodes ( If the number of check nodes in which the code bits of the LDPC code corresponding to ) are simultaneously in error (including erasures), the decoding performance deteriorates.

That is, for example, if two or more of the variable nodes connected to the check node become erasure at the same time, the check node sends a message with the same probability that the value is 0 and that the value is 1. return. In this case, the check nodes that return messages with equal probability do not contribute to one decoding process (one set of variable node operations and check node operations), and as a result, the number of iterations of the decoding process is increased. As a result, the decoding performance deteriorates, and the power consumption of the receiving device 12 that decodes the LDPC code increases.

Therefore, in the transmission system of FIG. 7, it is possible to improve resistance to burst errors and erasures while maintaining the performance of the AWGN channel (AWGN channel).

<Configuration example of transmission device 11>

FIG. 8 is a block diagram showing a configuration example of the transmission device 11 of FIG.

In the transmitting device 11 , one or more input streams (Input Streams) as target data are supplied to a mode adaptation/multiplexer (Mode Adaptation/Multiplexer) 111 .

Mode adaptation/multiplexer 111 performs processing such as mode selection and multiplexing of one or more input streams supplied thereto as necessary, and supplies the resulting data to padder 112. .

Pader 112 performs the necessary zero padding (null insertion) on the data from mode adaptation/multiplexer 111 and supplies the resulting data to BB Scrambler 113 .

A BB scrambler 113 applies BB scrambling (Base-Band Scrambling) to the data from the padder 112 and supplies the resulting data to a BCH encoder (BCH encoder) 114 .

The BCH encoder 114 BCH-encodes the data from the BB scrambler 113 and supplies the resulting data to an LDPC encoder 115 as LDPC target data to be LDPC-encoded.

The LDPC encoder 115 (encoding unit) converts the LDPC target data from the BCH encoder 114 into, for example, a parity matrix, which is a part corresponding to the parity bits of the LDPC code, into a check matrix having a dual diagonal structure. LDPC encoding is performed according to the above, and an LDPC code having the LDPC target data as information bits is output.

That is, the LDPC encoder 115 converts the LDPC target data to a predetermined standard such as DVB-S.2, DVB-T.2, DVB-C.2, ATSC 3.0 (in the check matrix (Corresponding) LDPC code, LDPC encoding for encoding into other LDPC codes is performed, and the resulting LDPC code is output.

Here, the LDPC code specified in the DVB-S.2 and ATSC3.0 standards is an IRA (Irregular Repeat Accumulate) code, and (a part or all of) the parity matrix in the parity check matrix of the LDPC code is A staircase structure. A parity matrix and a staircase structure will be described later. For IRA codes, see, for example, "Irregular Repeat-Accumulate Codes," H. Jin, A. Khandekar, and R. J. McEliece, in Proceedings of 2nd International Symposium on Turbo codes and Related Topics, pp. 1-8, Sept. 2000.

The LDPC code output by the LDPC encoder 115 is supplied to a bit interleaver 116 .

The bit interleaver 116 performs bit interleaving, which will be described later, on the LDPC code from the LDPC encoder 115 , and supplies the LDPC code after the bit interleaving to the mapper 117 .

The mapper 117 maps the LDPC code from the bit interleaver 116 to a signal point representing one symbol of orthogonal modulation in units of one or more code bits (symbol units) of the LDPC code, thereby performing orthogonal modulation (multiple modulation). value modulation).

That is, the mapper 117 converts the LDPC code from the bit interleaver 116 onto a constellation that is an IQ plane defined by the I-axis representing the I component in phase with the carrier and the Q-axis representing the Q component orthogonal to the carrier. are mapped to the signal points determined by the modulation scheme for orthogonal modulation of the LDPC code, and orthogonal modulation is performed.

When the number of signal points of the constellation used in the orthogonal modulation method performed by the mapper 117 is 2 ^m , the mapper 117 uses m code bits of the LDPC code as a symbol (1 symbol), The LDPC code from bit interleaver 116 is mapped on a symbol-by-symbol basis to a signal point representing a symbol among the 2 ^m signal points.

Here, as the modulation method of the quadrature modulation performed by the mapper 117, for example, the modulation method stipulated in the DVB-S.2 or ATSC3.0 standards, or other modulation method, that is, for example, BPSK (Binary Phase Shift Keying), QPSK (Quadrature Phase Shift Keying), 8PSK (Phase-Shift Keying), 16APSK (Amplitude Phase-Shift Keying), 32APSK, 16QAM (Quadrature Amplitude Modulation), 16QAM, 64QAM, 256QAM, 1024QAM, 4096QAM, 4PAM (Pulse Amplitude Modulation), etc. Which modulation scheme is to be used for quadrature modulation in the mapper 117 is set in advance according to, for example, the operation of the operator of the transmission device 11 or the like.

Data obtained by the processing in the mapper 117 (mapping result of mapping symbols to signal points) is supplied to a time interleaver 118 .

A time interleaver 118 time-interleaves the data from the mapper 117 on a symbol-by-symbol basis (interleaves in the time direction), and converts the resulting data into a SISO/MISO encoder (SISO/MISO (Single Input Single Output/Multiple Input)). Input (Single Output) encoder) 119 .

The SISO/MISO encoder 119 performs space-time encoding on the data from the time interleaver 118 and supplies it to a frequency interleaver 120 .

The frequency interleaver 120 frequency-interleaves the data from the SISO/MISO encoder 119 on a symbol-by-symbol basis (interleaves in the frequency direction) and supplies the data to the frame builder/resource allocation unit (Frame Builder & Resource Allocation) 131 .

On the other hand, the BCH encoder 121 is supplied with control data (signaling) for transmission control such as BB signaling (Base Band Signaling) (BB Header).

The BCH encoder 121 BCH-encodes the control data supplied thereto in the same manner as the BCH encoder 114 and supplies the resulting data to the LDPC encoder 122 .

The LDPC encoder 122 LDPC-encodes the data from the BCH encoder 121 as LDPC target data in the same manner as the LDPC encoder 115 , and supplies the resulting LDPC code to the mapper 123 .

The mapper 123, like the mapper 117, maps the LDPC code from the LDPC encoder 122 to a signal point representing one symbol of orthogonal modulation in units of one or more code bits (symbol units) of the LDPC code. quadrature modulation, and the resulting data is supplied to frequency interleaver 124 .

Similar to frequency interleaver 120 , frequency interleaver 124 frequency-interleaves the data from mapper 123 on a symbol-by-symbol basis and supplies the data to frame builder/resource allocation section 131 .

Frame builder/resource allocation unit 131 inserts pilot symbols into required positions of data (symbols) from frequency interleavers 120 and 124, and from the resulting data (symbols), a predetermined A frame (for example, a PL (Physical Layer) frame, a T2 frame, a C2 frame, or the like) composed of a number of symbols is configured and supplied to an OFDM generation unit (OFDM generation) 132 .

OFDM generating section 132 generates an OFDM signal corresponding to the frame from frame from frame builder/resource allocation section 131 and transmits it via communication channel 13 (FIG. 7).

Note that the transmission device 11 may be configured without some of the blocks illustrated in FIG. 8, such as the time interleaver 118, the SISO/MISO encoder 119, the frequency interleaver 120, and the frequency interleaver 124. can be done.

<Configuration example of bit interleaver 116>

FIG. 9 is a block diagram showing a configuration example of the bit interleaver 116 in FIG.

The bit interleaver 116 has a function of interleaving data and is composed of a parity interleaver 23 , a group-wise interleaver 24 and a block interleaver 25 .

Parity interleaver 23 performs parity interleaving to interleave the parity bits of the LDPC code from LDPC encoder 115 at other parity bit positions, and supplies the LDPC code after parity interleaving to group-wise interleaver 24 .

Group-wise interleaver 24 performs group-wise interleaving on the LDPC code from parity interleaver 23 and supplies the LDPC code after group-wise interleaving to block interleaver 25 .

Here, in group-wise interleaving, the LDPC code for one code is divided into 360-bit units equal to the parallel factor P described later from the beginning, and the 360 bits of one division are used as a bit group, and the parity interleaver 23 LDPC codes from are interleaved in bit groups.

When group-wise interleaving is performed, the error rate can be improved compared to when group-wise interleaving is not performed, and as a result, good communication quality can be ensured in data transmission.

The block interleaver 25 performs block interleaving for demultiplexing the LDPC code from the group-wise interleaver 24, for example, converting one code worth of LDPC code into a symbol of m bits, which is a unit of mapping. and supplied to mapper 117 (FIG. 8).

Here, in block interleaving, for example, a column as a storage area for storing a predetermined number of bits in the column (vertical) direction is arranged in the row (horizontal) direction by a number equal to the number of bits m of a symbol. The LDPC code from the group-wise interleaver 24 is written in the column direction and read out in the row direction to the storage areas arranged in the same manner as the LDPC code, so that the LDPC code is symbolized into m-bit symbols.

<Parity Check Matrix of LDPC Code>

FIG. 10 is a diagram showing an example of parity check matrix H used for LDPC encoding by the LDPC encoder 115 of FIG.

The parity check matrix H has an LDGM (Low-Density Generation Matrix) structure, and includes an information matrix H _A of a portion corresponding to the information bit of the code bits of the LDPC code, and a parity matrix H _T corresponding to the parity bit. can be represented by the formula H=[H _A |H _T ] (a matrix in which the elements of the information matrix H _A are the elements on the left side and the elements of the parity matrix H _T are the elements on the right side).

Here, the number of information bits and the number of parity bits in the code bits of one LDPC code (one codeword) are respectively referred to as information length K and parity length M, and one (1 codeword), the number of code bits of the LDPC code is called a code length N (=K+M).

The information length K and parity length M for an LDPC code of a given code length N are determined by the coding rate. Also, the parity check matrix H is a matrix with M×N rows and columns (a matrix with M rows and N columns). The information matrix H _A becomes an M×K matrix, and the parity matrix H _T becomes an M×M matrix.

FIG. 11 is a diagram showing an example of parity matrix H _T of parity check matrix H used for LDPC encoding in LDPC encoder 115 of FIG.

As the parity matrix H _T of the parity check matrix H used for LDPC encoding in the LDPC encoder 115, for example, a parity matrix H _T similar to the parity matrix H of the LDPC code specified in standards such as DVB-T.2. can be adopted.

The parity matrix H _T of the parity check matrix H of the LDPC code specified in standards such as DVB-T.2 is, as shown in FIG. matrix). The row weight of the parity matrix H _T is 1 for the first row and 2 for all remaining rows. Also, the column weight is 1 for the last column and 2 for all remaining columns.

As described above, an LDPC code for a parity check matrix H whose parity matrix H _T has a staircase structure can be easily generated using the parity check matrix H.

That is, an LDPC code (one codeword) is represented by a row vector c, and a column vector obtained by transposing the row vector is represented by ^cT . Also, in the row vector c of the LDPC code, the information bit portion is represented by row vector A, and the parity bit portion is represented by row vector T. FIG.

In this case, row vector c is obtained by the formula c = [A|T] (where the elements of row vector A are the elements on the left, row vector T can be represented as a row vector with the element of the right as the element of

The check matrix H and the row vector c = [A|T] as the LDPC code must satisfy the expression Hc ^T = 0, and the row vector c = [A | T] that satisfies the expression Hc ^T = 0 If the parity matrix H _T of parity check matrix H = [H _A |H _T ] has the ^staircase structure shown in FIG. By setting the elements of each row to 0 in order from the first row of the column vector Hc ^T , it is possible to obtain them sequentially (in order).

FIG. 12 is a diagram for explaining parity check matrix H of an LDPC code specified in standards such as DVB-T.2.

For the KX columns from the first column of the parity check matrix H of the LDPC code specified in standards such as DVB-T.2, the column weight is X, and for the subsequent K3 columns, the column weight is 3, and then has a column weight of 2 for the M-1 columns of , and a column weight of 1 for the last column.

where KX+K3+M-1+1 is equal to the code length N.

FIG. 13 is a diagram showing the number of columns KX, K3 and M and the column weight X for each coding rate r of the LDPC code specified in standards such as DVB-T.2.

Standards such as DVB-T.2 define LDPC codes with a code length N of 64800 bits and 16200 bits.

And for LDPC code with code length N of 64800 bits, 11 nominal rates 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, 3/ 4, 4/5, 5/6, 8/9, and 9/10 are specified, and for an LDPC code with a code length N of 16200 bits, ten coding rates 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, 3/4, 4/5, 5/6 and 8/9 are provided.

Here, hereinafter, the code length N of 64800 bits is also referred to as 64 kbits, and the code length N of 16200 bits is also referred to as 16 kbits.

As for the LDPC code, code bits corresponding to columns with higher column weights in the check matrix H tend to have lower error rates.

12 and 13, in the parity check matrix H specified in standards such as DVB-T.2, the column weight tends to be larger toward the leading side (left side) of the column. Therefore, the parity check matrix As for the LDPC code corresponding to H, the leading code bit tends to be more resistant to errors (tolerant to errors), and the trailing code bit tends to be less resistant to errors.

<Parity interleave>

Parity interleaving by parity interleaver 23 in FIG. 9 will be described with reference to FIGS.

FIG. 14 is a diagram showing an example of (part of) a Tanner graph of a parity check matrix of an LDPC code.

As shown in FIG. 14, when a plurality of (such as two) variable nodes (corresponding code bits) connected to the check node become errors such as erasure at the same time, all the check nodes connected to the check node Returns to the variable node a message with an equal probability of a value of 0 and a value of 1. Therefore, if a plurality of variable nodes connected to the same check node become erasures at the same time, the decoding performance deteriorates.

By the way, the LDPC code output by the LDPC encoder 115 in FIG. 8 is, for example, an IRA code similar to the LDPC code specified in standards such as DVB-T.2, and the parity matrix _HT of the parity check matrix H is , as shown in FIG. 11, has a staircase structure.

FIG. 15 is a diagram showing an example of a parity matrix H _T having a staircase structure and a Tanner graph corresponding to the parity matrix H _T as shown in FIG. 11 .

FIG. 15A shows an example of a parity matrix H _T having a staircase structure, and FIG. 15B shows a Tanner graph corresponding to the parity matrix H _T of FIG. 15A.

In the parity matrix H _T that has a staircase structure, elements of 1 are adjacent in each row (except for the first row). Therefore, in the Tanner graph of the parity matrix H _T , two adjacent variable nodes corresponding to two adjacent columns of elements in which the value of the parity matrix H _T is 1 are connected to the same check node. there is

Therefore, if parity bits corresponding to two adjacent variable nodes described above become erroneous at the same time due to a burst error, erasure, or the like, two variable nodes corresponding to the two erroneous parity bits (using parity bits A check node connected to a variable node that requests a message) returns a message with an equal probability of 0 and 1 to the variable node connected to the check node, so the decoding performance is reduced. to degrade. When the burst length (the number of parity bits with consecutive errors) increases, the number of check nodes returning messages with equal probability increases, further degrading the decoding performance.

Therefore, the parity interleaver 23 (FIG. 9) performs parity interleaving for interleaving the parity bits of the LDPC code from the LDPC encoder 115 into the positions of other parity bits in order to prevent the deterioration of the decoding performance described above. .

FIG. 16 is a diagram showing parity matrix H _T of parity check matrix H corresponding to the LDPC code after parity interleaving performed by parity interleaver 23 of FIG.

Here, the information matrix H _A of the parity check matrix H corresponding to the LDPC code output by the LDPC encoder 115 is similar to the information matrix of the parity check matrix H corresponding to the LDPC code specified in standards such as DVB-T.2 In addition, it has a circular structure.

A cyclic structure is a structure in which a column matches a cyclically shifted version of another column. columns are cyclically shifted in the column direction by a predetermined value, such as a value proportional to the value q obtained by dividing the parity length M. Hereinafter, the P columns in the cyclic structure are referred to as parallel factors as appropriate.

As LDPC codes specified in standards such as DVB-T.2, there are two types of LDPC codes with code lengths N of 64800 bits and 16200 bits, as described with reference to FIGS. For both types of LDPC codes, the parallel factor P is defined as 360, which is one of the divisors of the parity length M, excluding 1 and M.

Also, the parity length M is a value other than a prime number represented by the formula M=q×P=q×360 using a value q that varies depending on the coding rate. Therefore, the value q, like the parallel factor P, is also one of the divisors of the parity length M, excluding 1 and M, and dividing the parity length M by the parallel factor P (The product of P and q, which is a divisor of the parity length M, gives the parity length M).

As described above, the parity interleaver 23 has an information length of K, an integer of 0 or more and less than P is x, and an integer of 0 or more and less than q is y. As a parity interleave, N-bit LDPC Among the code bits of the code, interleave the K+qx+y+1th code bit into the position of the K+Py+x+1th code bit.

Both the K+qx+y+1th code bit and the K+Py+x+1th code bit are the code bits after the K+1th code bit, so they are parity bits. Interleaving moves the position of the parity bit of the LDPC code.

According to such parity interleaving, (parity bits corresponding to) variable nodes connected to the same check node are separated by a parallel factor P, ie, 360 bits here, so the burst length is less than 360 bits. In this case, it is possible to avoid a situation in which a plurality of variable nodes connected to the same check node become erroneous at the same time, and as a result, it is possible to improve robustness against burst errors.

Note that the LDPC code after parity interleaving, which interleaves the K+qx+y+1st code bit at the position of the K+Py+x+1th code bit, is K+qx+ Matches the LDPC code of a parity check matrix obtained by performing column permutation in which the y+1-th column is replaced with the K+Py+x+1-th column (hereinafter also referred to as a transformed parity check matrix).

Also, as shown in FIG. 16, the parity matrix of the transform parity matrix has a pseudo-cyclic structure in units of P columns (360 columns in FIG. 16).

Here, the pseudo cyclic structure means a structure in which a part except for a part is a cyclic structure.

The transform parity check matrix obtained by applying column permutation corresponding to parity interleaving to the parity check matrix of the LDPC code specified in standards such as DVB-T.2 is 360 rows in the upper right corner of the transform parity check matrix. In the 360 column part (shift matrix described later), there is only one element of 1 (it is an element of 0), and in that respect, it is not a (complete) cyclic structure, but a pseudo-cyclic structure. ing.

The transformed parity check matrix for the parity check matrix of the LDPC code output by the LDPC encoder 115 has, for example, a pseudo-cyclic structure similar to the transformed parity check matrix for the parity check matrix of the LDPC code specified in standards such as DVB-T.2. ing.

Note that the transformation parity check matrix of FIG. 16 is a column permutation corresponding to parity interleaving with respect to the original parity check matrix H, and also a row permutation so that the transformation parity check matrix is composed of constituent matrices described later. (row permutation) is also applied to the matrix.

FIG. 17 is a flowchart illustrating the processing performed by the LDPC encoder 115, bit interleaver 116, and mapper 117 of FIG.

The LDPC encoder 115 waits for the LDPC target data to be supplied from the BCH encoder 114, and in step S101, based on the parity check matrix, encodes the LDPC target data into an LDPC code, converts the LDPC code into bit inter After supplying to the leaver 116, the process proceeds to step S102.

In step S102, the bit interleaver 116 performs bit interleaving on the LDPC code from the LDPC encoder 115, supplies symbols obtained by the bit interleaving to the mapper 117, and the process proceeds to step S103.

That is, in step S102, in the bit interleaver 116 (FIG. 9), the parity interleaver 23 performs parity interleaving on the LDPC code from the LDPC encoder 115, and converts the parity-interleaved LDPC code into group-wise interleaved It feeds the leaver 24 .

Group-wise interleaver 24 performs group-wise interleaving on the LDPC code from parity interleaver 23 and supplies it to block interleaver 25 .

The block interleaver 25 performs block interleaving on the LDPC code after group-wise interleaving by the group-wise interleaver 24 , and supplies m-bit symbols obtained as a result to the mapper 117 .

In step S103, the mapper 117 maps the symbols from the block interleaver 25 to any one of 2 ^m signal points determined by the modulation method of the orthogonal modulation performed by the mapper 117 and orthogonally modulates them. The data is provided to time interleaver 118 .

As described above, by performing parity interleaving or group-wise interleaving, it is possible to improve the error rate when a plurality of code bits of an LDPC code are transmitted as one symbol.

Here, in FIG. 9, for convenience of explanation, the parity interleaver 23, which is a block for performing parity interleaving, and the groupwise interleaver 24, which is a block for performing groupwise interleaving, are configured separately. , the parity interleaver 23 and the group-wise interleaver 24 can be configured integrally.

That is, both parity interleaving and groupwise interleaving can be performed by writing and reading code bits to and from memory, and the address for writing code bits (write address) is the address for reading code bits. It can be represented by a matrix that translates to (read address).

Therefore, if a matrix obtained by multiplying a matrix representing parity interleaving and a matrix representing groupwise interleaving is obtained, parity interleaving is performed by converting code bits using these matrices. A result of group-wise interleaving the LDPC code after parity interleaving can be obtained.

In addition to the parity interleaver 23 and the groupwise interleaver 24, the block interleaver 25 can also be configured integrally.

That is, the block interleaving performed by the block interleaver 25 can also be represented by a matrix that converts the write address of the memory storing the LDPC code into the read address.

Therefore, if a matrix obtained by multiplying a matrix representing parity interleaving, a matrix representing group-wise interleaving, and a matrix representing block interleaving is obtained, parity interleaving, group-wise interleaving, and block interleaving can be performed using these matrices. Interleaving can be done in bulk.

Note that one or the amount of parity interleaving and group-wise interleaving may be omitted.

<Configuration example of LDPC encoder 115>

FIG. 18 is a block diagram showing a configuration example of the LDPC encoder 115 of FIG.

Note that the LDPC encoder 122 in FIG. 8 is similarly configured.

As described with reference to FIGS. 12 and 13, standards such as DVB-T.2 define two types of LDPC codes with a code length N of 64800 bits and 16200 bits.

And for the LDPC code whose code length N is 64800 bits, 11 coding rates 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, 3/4, 4/ 5, 5/6, 8/9, and 9/10 are specified, and for an LDPC code with a code length N of 16200 bits, ten coding rates 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, 3/4, 4/5, 5/6, and 8/9 are defined (Figs. 12 and 13).

The LDPC encoder 115, for example, encodes (error correction encoding) by the LDPC code of each encoding rate such that the code length N is 64800 bits or 16200 bits, for each code length N and each encoding rate This can be done based on the prepared check matrix H.

Also, the LDPC encoder 115 has a code length N of 17280 bits or any other code length N, and the coding rates are 2/16, 3/16, 4/16, 5/16, 6/16, 7/16, 8/16, 9/16, 10/16, 11/16, 12/16, 13/16, 14/16, etc. Based on the parity check matrix H of the LDPC code with arbitrary coding rate r, LDPC coding is performed. It can be carried out.

The LDPC encoder 115 is composed of an encoding processing unit 601 and a storage unit 602 .

The encoding processing unit 601 includes an encoding rate setting unit 611, an initial value table reading unit 612, a parity check matrix generating unit 613, an information bit reading unit 614, an encoding parity calculation unit 615, and a control unit 616. LDPC encoding is performed on the LDPC target data supplied to 115, and the resulting LDPC code is supplied to bit interleaver 116 (FIG. 8).

That is, the coding rate setting unit 611 sets, for example, the code length N and the coding rate r of the LDPC code, and other specific information for identifying the LDPC code, according to the operator's operation or the like.

Initial value table reading section 612 reads from storage section 602 a later-described parity check matrix initial value table representing the parity check matrix of the LDPC code specified by the specific information set by coding rate setting section 611 .

The check matrix generation unit 613 generates a check matrix H based on the check matrix initial value table read by the initial value table reading unit 612 and stores it in the storage unit 602 . For example, parity check matrix generating section 613 generates information matrix H _A corresponding to information length K (= code length N-parity length M) according to code length N and coding rate r set by coding rate setting section 611. A parity check matrix H is generated by arranging 1 elements in the column direction at intervals of 360 columns (parallel factor P) and stored in the storage unit 602 .

The information bit reading unit 614 reads (extracts) information bits of information length K from the LDPC target data supplied to the LDPC encoder 115 .

Encoding parity calculation section 615 reads parity check matrix H generated by parity check matrix generation section 613 from storage section 602, and uses parity bit for the information bit read by information bit reading section 614 to obtain a predetermined parity bit. A codeword (LDPC code) is generated by calculating based on the equation.

A control unit 616 controls each block constituting the encoding processing unit 601 .

The storage unit 602 stores, for example, a plurality of parity check matrix initial value tables corresponding to the plurality of coding rates shown in FIGS. Code rates 2/16, 3/16, 4/16, 5/16, 6/16, 7/16, 8/16, 9/16, 10/16, 11/ for length N of 17280 bits Parity check matrix initial value tables corresponding to 16, 12/16, 13/16, and 14/16, and other parity check matrix initial value tables for LDPC codes with arbitrary code length N and coding rate r is stored. The storage unit 602 also temporarily stores data necessary for the processing of the encoding processing unit 601 .

FIG. 19 is a flowchart illustrating an example of processing of the LDPC encoder 115 of FIG.

In step S201, the coding rate setting unit 611 sets the code length N and the coding rate r for LDPC coding, and other specific information for identifying the LDPC code.

In step S202, the initial value table reading unit 612 retrieves a predetermined parity check matrix initial value table specified by the code length N and the encoding rate r as the specific information set by the encoding rate setting unit 611. , is read from the storage unit 602 .

In step S203, the parity check matrix generating unit 613 uses the parity check matrix initial value table read from the storage unit 602 by the initial value table reading unit 612, the code length N and the coding rate set by the coding rate setting unit 611. The parity check matrix H of the LDPC code of r is obtained (generated), supplied to the storage unit 602, and stored.

In step S204, the information bit reading unit 614 extracts the information length K (=N ×r) information bits are read, and parity check matrix H obtained by parity check matrix generation section 613 is read out from storage section 602 and supplied to encoding parity calculation section 615 .

In step S205, the encoding parity calculation unit 615 uses the information bits from the information bit reading unit 614 and the parity check matrix H to sequentially calculate the parity bits of the codeword c that satisfy equation (8).

^HcT = 0
... (8)

In Equation (8), c represents a row vector as a codeword (LDPC code), and c ^T represents transposition of row vector c.

Here, as described above, in the row vector c as the LDPC code (one codeword), the information bit portion is represented by the row vector A, and the parity bit portion is represented by the row vector T. can be expressed by the equation c=[A|T] with row vector A as information bits and row vector T as parity bits.

The check matrix H and the row vector c = [A|T] as the LDPC code must satisfy the expression Hc ^T = 0, and the row vector c = [A | T] that satisfies the expression Hc ^T = 0 If the parity matrix H _T of parity check matrix H = [H _A |H _T ] has the ^staircase structure shown in FIG. By setting the elements of each row to 0 in order from the first row of the column vector Hc ^T , it is possible to obtain them sequentially.

Encoding parity computing section 615 obtains parity bit T for information bit A from information bit reading section 614, and codeword c represented by information bit A and parity bit T = [A|T] is output as the LDPC encoding result of information bit A.

Thereafter, in step S206, control section 616 determines whether or not to end LDPC encoding. In step S206, if it is determined not to end the LDPC encoding, i.e., for example, if there is still LDPC target data to be LDPC encoded, the process returns to step S201 (or step S204). The processing of S201 (or steps S204) to S206 is repeated.

Further, when it is determined in step S206 to end the LDPC encoding, that is, when there is no LDPC target data to be LDPC-encoded, the LDPC encoder 115 ends the process.

For the LDPC encoder 115, parity check matrix initial value tables (representing parity check matrices) of LDPC codes of various code lengths N and coding rates r can be prepared in advance. The LDPC encoder 115 can perform LDPC encoding into LDPC codes of various code lengths N and coding rates r using a parity check matrix H generated from a parity check matrix initial value table prepared in advance.

<Example of check matrix initial value table>

The parity check matrix initial value table is, for example, an information matrix H _A ( 10) for each 360 columns (parallel factor P), and is created in advance for each parity check matrix H of each code length N and each coding rate r.

That is, the parity check matrix initial value table represents at least the position of the element of 1 in the information matrix H _A for every 360 columns (parallel factor P).

The check matrix H includes a check matrix in which the entire parity matrix H _T has a staircase structure, and a parity matrix H _T in which a part of the parity matrix H T has a staircase structure and the remaining part is a diagonal matrix (identity matrix). ) is a check matrix.

Hereinafter, the expression method of the parity check matrix initial value table representing the parity check matrix in which part of the parity matrix H _T has a staircase structure and the remaining portion is a diagonal matrix is also referred to as a type A method. Also, the expression method of the parity check matrix initial value table representing the parity check matrix in which the entire parity matrix H _T has a staircase structure is also called the type B method.

An LDPC code for a parity check matrix represented by a type A parity check matrix initial value table is also called a type A code, and an LDPC code for a parity check matrix represented by a type B parity check matrix initial value table is also called a type B code.

"Type A" and "Type B" designations are based on the ATSC 3.0 standard. For example, ATSC 3.0 employs both type A and type B codes.

Note that DVB-T.2 and others use type B codes.

FIG. 20 is a diagram showing an example of a parity check matrix initial value table for the type B scheme.

That is, FIG. 20 shows a case where the code length N is 16200 bits and the coding rate (coding rate in DVB-T.2 notation) r is 1/4, which is specified in the DVB-T.2 standard. FIG. 10 shows a parity check matrix initial value table (representing parity check matrix H) for type B code.

The parity check matrix generation unit 613 (FIG. 18) uses the parity check matrix initial value table of the type B method to obtain the parity check matrix H as follows.

FIG. 21 is a diagram illustrating a method of obtaining a parity check matrix H from a parity check matrix initial value table of the type B method.

That is, FIG. 21 shows a parity check matrix initial value table for a type B code with a code length N of 16200 bits and a coding rate r of 2/3, which is specified in the DVB-T.2 standard.

The parity check matrix initial value table of the type B method stores the positions of all 1 elements in the information matrix H _A corresponding to the information length K according to the code length N and coding rate r of the LDPC code in 360 columns (parallel factor P), and in the ith row, the row number of the 1 element in the 1+360×(i-1)th column of the parity check matrix H (the row number of the first row of the parity check matrix H is 0) are lined up by the number of column weights of the 1+360×(i−1)th column.

Here, the parity matrix H _T (FIG. 10) corresponding to the parity length M of the parity check matrix H of the type B method is determined to have a staircase structure as shown in FIG. If the information matrix H _A (FIG. 10) corresponding to the information length K can be obtained, the parity check matrix H can be obtained.

The number of rows k+1 of the parity check matrix initial value table of the type B method differs depending on the information length K.

The relationship of Equation (9) holds between the information length K and the number of rows k+1 in the parity check matrix initial value table.

K＝(k+1)×360
... (9)

Here, 360 in equation (9) is the parallel factor P explained in FIG.

In the parity check matrix initial value table of FIG. 21, 13 numerical values are arranged from the 1st to 3rd rows, and 3 numerical values are arranged from the 4th row to the k+1th row (the 30th row in FIG. 21). numbers are lined up.

Therefore, the column weights of the parity check matrix H obtained from the parity check matrix initial value table in FIG. From the (3-1)th column to the Kth column are 3.

The first row of the parity check matrix initial value table in FIG. In the first column of the row numbers 0, 2084, 1613, 1548, 1286, 1460, 3196, 4297, 2481, 3369, 3451, 4620, 2622 row elements are 1 (and other elements is 0).

The second row of the parity check matrix initial value table in FIG. (= 1 + 360 × (2 - 1)) column, row numbers 1, 122, 1516, 3448, 2880, 1407, 1847, 3799, 3529, 373, 971, 4358, 3108 row elements are 1 ing.

As described above, the parity check matrix initial value table represents the position of the 1 element of the information matrix H _A of the parity check matrix H for every 360 columns.

Columns other than the 1+360×(i-1)th column of the check matrix H, that is, each column from the 2+360×(i-1)th column to the 360×ith column are the check matrix initial value table The 1 elements in the 1+360×(i−1)th column determined by are arranged by periodically cyclically shifting downward (downward of the column) according to the parity length M.

That is, for example, the 2+360×(i-1)th column is obtained by cyclically shifting the 1+360×(i-1)th column downward by M/360 (=q). , the next 3+360×(i-1)th column is the 1+360×(i-1)th column cyclically shifted downward by 2×M/360 (=2×q) ( 2+360×(i−1)th column is cyclically shifted downward by M/360 (=q)).

Let h i,j be the number in the i-th row (i-th from the top) and j-th column ( _j -th from the left) of the parity check matrix initial value table. Let H _wj be the row number of the 1st element in the parity check matrix H. _wj can be obtained by equation (10).

_Hwj = mod( _hi,j + mod((w-1),P) x q, M)
(10)

where mod(x, y) means the remainder of x divided by y.

Also, P is the above-described parallel factor, and in this embodiment, it is 360, for example, like the DVB-T.2 and ATSC 3.0 standards. Furthermore, q is the value M/360 obtained by dividing the parity length M by the parallel factor P (=360).

The check matrix generator 613 (FIG. 18) identifies the row number of the 1 element in the 1+360×(i−1)-th column of the check matrix H from the check matrix initial value table.

Furthermore, the parity check matrix generation unit 613 (FIG. 18) converts the row number H _wj of the 1 element in the w-th column, which is a column other than the 1+360×(i−1)-th column of the parity check matrix H, to the formula ( 10), and generate a parity check matrix H in which the element of the row number obtained by the above is set to 1.

FIG. 22 is a diagram showing the structure of the parity check matrix H of the type A scheme.

A check matrix for the type A scheme is composed of an A matrix, a B matrix, a C matrix, a D matrix, and a Z matrix.

The A matrix is the upper left matrix of the parity check matrix H of M1 rows and K columns represented by the predetermined value M1 and the information length K of the LDPC code=code length N×encoding rate r.

The B matrix is an M1-by-M1 matrix with a staircase structure adjacent to the right of the A matrix.

The C matrix is the adjacent matrix below the A matrix and the B matrix, with N−K−M1 rows and K+M1 columns.

The D matrix is the identity matrix adjacent to the right of the C matrix, with N-K-M1 rows and N-K-M1 columns.

The Z matrix is the zero matrix (zero matrix) adjacent to the right of the B matrix, with M1 rows and N-K-M1 columns.

In the type A check matrix H composed of the A matrix to the D matrix and the Z matrix as described above, part of the A matrix and the C matrix constitute an information matrix, and the B matrix, The rest of the C matrix, the D matrix and the Z matrix make up the parity matrix.

Note that the B matrix is a matrix with a staircase structure, and the D matrix is a unit matrix, so part of the parity matrix of the parity matrix H of the type A method (part of the B matrix) has a staircase structure. , the remaining part (part of the D matrix) is a diagonal matrix (identity matrix).

The A matrix and the C matrix have a cyclic structure for each column of the parallel factor P (for example, 360 columns) in the same way as the information matrix of the check matrix H of the type B method, and the check matrix initial value table of the type A method represents the position of the 1 element in the A and C matrices every 360 columns.

Here, as described above, part of the A matrix and the C matrix constitute an information matrix, so the type A parity check matrix representing the position of the element of 1 in the A matrix and the C matrix for every 360 columns It can be said that the initial value table represents at least the position of the 1 element of the information matrix for every 360 columns.

In addition, since the check matrix initial value table of the type A method represents the position of the 1 element in the A matrix and the C matrix for every 360 columns, It can also be said that the position is represented every 360 columns.

FIG. 23 is a diagram showing an example of a parity check matrix initial value table for the type A scheme.

That is, FIG. 23 shows an example of a parity check matrix initial value table representing a parity check matrix H with a code length N of 35 bits and a coding rate r of 2/7.

The parity check matrix initial value table of the type A method is a table that represents the position of the element of 1 in the A matrix and the C matrix for each parallel factor P, and the ith row contains 1+P×( The row number of the 1 element in the i-1)th column (row number where the row number of the first row of the check matrix H is 0) is the column that the 1+P×(i-1)th column has They are lined up by the number of weights.

For simplicity of explanation, the parallel factor P is assumed to be 5, for example.

The parity check matrix H of the type A method has parameters M1, M2, Q1, and Q2.

M1 (FIG. 22) is a parameter that determines the size of the B matrix and takes a value that is a multiple of the parallel factor P. By adjusting M1, the performance of the LDPC code changes and is adjusted to a predetermined value when parity check matrix H is determined. Here, it is assumed that 15, which is three times the parallel factor P=5, is adopted as M1.

M2 (FIG. 22) takes a value M-M1 obtained by subtracting M1 from the parity length M.

Here, the information length K is N × r = 35 × 2/7 = 10, and the parity length M is N - K = 35 - 10 = 25, so M2 is M - M1 = 25 - 15 = 10 becomes.

Q1 is obtained according to the formula Q1=M1/P and represents the shift number (number of rows) of the cyclic shift in the A matrix.

That is, columns other than the 1+P×(i-1)th column of the A matrix of the type A system check matrix H, that is, from the 2+P×(i-1)th column to the P×ith column In each column, the 1 elements in the 1+P×(i-1)th column determined by the parity check matrix initial value table are cyclically shifted downward (toward the bottom of the column) and arranged. and Q1 represents the shift number of that cyclic shift in the A matrix.

Q2 is determined according to the formula Q2=M2/P and represents the shift number (number of rows) of the cyclic shift in the C matrix.

That is, columns other than the 1+P×(i-1)th column of the C matrix of the check matrix H of the type A method, that is, from the 2+P×(i-1)th column to the P×ith column In each column, the 1 elements in the 1+P×(i-1)th column determined by the parity check matrix initial value table are cyclically shifted downward (toward the bottom of the column) and arranged. and Q2 represents the shift number of that cyclic shift in the C matrix.

Here Q1 has M1/P=15/5=3 and Q2 has M2/P=10/5=2.

In the parity check matrix initial value table of FIG. 23, three numerical values are arranged in the first and second rows, and one numerical value is arranged in the third to fifth rows. For example, the column weights of the parts of the A matrix and the C matrix of the parity check matrix H obtained from the parity check matrix initial value table in FIG. From the 11=1+5×(3−1)th column to the 25=5×5th column, it is 1.

That is, the first row of the parity check matrix initial value table in FIG. It indicates that the element is 1 (and the other elements are 0).

Here, in this case, the A matrix (FIG. 22) is a matrix of 15 rows and 10 columns (M1 rows and K columns), and the C matrix (FIG. 22) is a matrix of 10 rows and 25 columns (N-K-M1 rows and K+M1 columns), the rows with row numbers 0 to 14 of the parity check matrix H are the rows of the A matrix, and the rows with row numbers 15 to 24 of the parity check matrix H are the rows of the C matrix.

Therefore, among the rows with row numbers 2, 6, and 18 (hereinafter referred to as rows #2, #6, and #18), rows #2 and #6 are rows of the A matrix, and row #18 is the row of the C matrix.

The second row of the parity check matrix initial value table in FIG. It shows that the elements of 2, #10, and #19 are 1.

Here, in the 6th (= 1 + 5 × (2-1)) column of the check matrix H, rows #2 and #10 among rows #2, #10, and #19 are rows of the A matrix , and row #19 is a row of the C matrix.

The third row of the parity check matrix initial value table in FIG. 1.

Here, in the 11th (=1+5×(3−1)) column of parity check matrix H, row #22 is the row of C matrix.

Similarly, 19 in the 4th row of the parity check matrix initial value table in FIG. 15 in the 5th row of the parity check matrix initial value table in FIG. It shows that

As described above, the parity check matrix initial value table represents the positions of the elements of 1 in the A matrix and the C matrix of the parity check matrix H for every parallel factor P=5 columns.

Columns other than the 1+5×(i-1)th column of the A matrix and the C matrix of the check matrix H, that is, each column from the 2+5×(i-1)th column to the 5×ith column are , the 1 element in the 1+5×(i-1)th column determined by the check matrix initial value table is arranged by periodically cyclically shifting downward (downward of the column) according to the parameters Q1 and Q2 It has become a thing.

That is, for example, the 2+5×(i-1)th column of the A matrix is obtained by cyclically shifting the 1+5×(i-1)th column downward by Q1 (=3). and the next 3+5×(i-1)th column is the 1+5×(i-1)th column cyclically shifted downward by 2×Q1 (=2×3) ( 2+5×(i−1)th column cyclically shifted downward by Q1).

Also, for example, the 2+5×(i-1)th column of the C matrix is obtained by cyclically shifting the 1+5×(i-1)th column downward by Q2 (=2). and the next 3+5×(i-1)th column is the 1+5×(i-1)th column cyclically shifted downward by 2×Q2 (=2×2) ( 2+5×(i−1)th column is cyclically shifted downward by Q2).

24 is a diagram showing an A matrix generated from the parity check matrix initial value table of FIG. 23. FIG.

In the A matrix of FIG. 24, the elements of rows #2 and #6 of the 1 (=1+5×(1-1)) column are 1 according to the first row of the check matrix initial value table of FIG. ing.

Then, each column from the 2nd (=2+5×(1-1)) to the 5th (=5+5×(1-1)) column moves down the previous column by Q1=3. is cyclically shifted to

Furthermore, in the A matrix of FIG. 24, according to the second row of the check matrix initial value table of FIG. It has become.

Then, each column from the 7th (=2+5×(2-1)) to the 10th (=5+5×(2-1)) columns moves down the previous column by Q1=3. is cyclically shifted to

FIG. 25 is a diagram showing parity interleaving of the B matrix.

The parity check matrix generation unit 613 (FIG. 18) uses the parity check matrix initial value table to generate the A matrix, and arranges the stepped B matrix to the right of the A matrix. Then, parity check matrix generation section 613 regards the B matrix as a parity matrix, and performs parity interleaving so that adjacent 1 elements in the B matrix with a staircase structure are separated by a parallel factor P=5 in the row direction.

FIG. 25 shows the A and B matrices after parity interleaving of the B matrix in FIG.

26 is a diagram showing a C matrix generated from the parity check matrix initial value table of FIG. 23. FIG.

In the C matrix of FIG. 26, according to the first row of the parity check matrix initial value table of FIG. It's becoming

Then, each column from the 2 (= 2 + 5 x (1-1)) to the 5 (= 5 + 5 x (1-1)) columns of the C matrix replaces the previous column with Q2 = 2 is cyclically shifted downward by

Furthermore, in the C matrix of FIG. 26, according to the 2nd to 5th rows of the check matrix initial value table of FIG. 19, row #22 in column 11 (=1+5×(3-1)), row #19 in column 16 (=1+5×(4-1)), and row 21 (=1+5 The element in row #15 of the ×(5-1)) column is 1.

And each column from 7(=2+5×(2-1)) to 10(=5+5×(2-1)), 12(=2+5×(3-1) ) to 15(=5+5×(3-1)) columns, 17(=2+5×(4-1)) to 20(=5+5×(4- 1) Each column up to column 22 (= 2 + 5 x (5-1)) to 25 (= 5 + 5 x (5-1)) is immediately before column is cyclically shifted downward by Q2=2.

The parity check matrix generation unit 613 (FIG. 18) uses the parity check matrix initial value table to generate the C matrix, and arranges the C matrix below the A matrix and the B matrix (after parity interleaving).

Further, parity check matrix generation section 613 arranges Z matrix to the right of B matrix and arranges D matrix to the right of C matrix to generate parity check matrix H shown in FIG.

FIG. 27 is a diagram showing parity interleaving of the D matrix.

After generating the parity check matrix H in FIG. 26, the parity check matrix generation unit 613 regards the D matrix as a parity matrix, and the elements of 1 in the odd-numbered rows and the next even-numbered rows of the unit matrix D matrix are arranged in the row direction. , parity interleave (only the D matrix) such that they are separated by a parallel factor P=5.

FIG. 27 shows the parity interleaving of the D matrix with respect to the parity check matrix H of FIG.

The LDPC encoder 115 (the encoding parity calculation unit 615 (FIG. 18)) performs LDPC encoding (generation of LDPC code) using parity check matrix H in FIG. 27, for example.

Here, the LDPC code generated using the parity check matrix H in FIG. 27 is an LDPC code that has undergone parity interleaving. Therefore, for the LDPC code generated using the parity check matrix H in FIG. There is no need to perform parity interleaving in the parity interleaver 23 (FIG. 9). That is, the LDPC code generated using the check matrix H after parity interleaving of the D matrix is an LDPC code that has undergone parity interleaving. is skipped.

FIG. 28 restores the parity interleaving to the B matrix, part of the C matrix (the part of the C matrix located below the B matrix), and the D matrix of the parity check matrix H in FIG. FIG. 10 is a diagram showing parity check matrix H subjected to column permutation as parity deinterleaving;

The LDPC encoder 115 can perform LDPC encoding (generation of LDPC code) using parity check matrix H in FIG.

When LDPC encoding is performed using parity check matrix H in FIG. 28 , an LDPC code without parity interleaving is obtained by the LDPC encoding. Therefore, when performing LDPC encoding using parity check matrix H in FIG. 28, parity interleaving is performed in parity interleaver 23 (FIG. 9).

FIG. 29 is a diagram showing a transformed parity check matrix H obtained by performing row permutation on the parity check matrix H of FIG.

As will be described later, the transformation check matrix is a P×P identity matrix, a quasi-identity matrix in which one or more of 1 of the identity matrix is 0, a shift matrix obtained by cyclically shifting the identity matrix or the quasi-identity matrix, It is a matrix represented by a combination of a sum matrix that is the sum of two or more of the unit matrix, quasi-unit matrix, or shift matrix, and a P×P zero matrix.

By using the transform parity check matrix for decoding the LDPC code, it is possible to employ an architecture in which P check node operations and P variable node operations are simultaneously performed in the decoding of the LDPC code, as will be described later.

<New LDPC code>

In data transmission using LDPC codes, one method of ensuring good communication quality is to use LDPC codes with good performance.

A new LDPC code with good performance (hereinafter also referred to as a new LDPC code) will be described below.

As the new LDPC code, for example, the parallel factor P is 360, which is the same as DVB-T.2, ATSC3.0, etc., and type A code or type B code corresponding to parity check matrix H of cyclic structure can be adopted. can.

The LDPC encoder 115 (FIGS. 8 and 18) has a code length N longer than 64k bits, such as 69120 bits, and a coding rate r such as 2/16, 3/16, 4/16, 5 Check any LDPC code of /16, 6/16, 7/16, 8/16, 9/16, 10/16, 11/16, 12/16, 13/16, or 14/16 LDPC encoding into LDPC codes can be performed using the matrix initial value table (parity check matrix H obtained from).

In addition, the LDPC encoder 115 has a code length N shorter than 64 kbits, for example, 17280 bits (17 kbits), and an encoding rate r of, for example, 2/16, 3/16, 4 /16, 5/16, 6/16, 7/16, 8/16, 9/16, 10/16, 11/16, 12/16, 13/16, or 14/16 LDPC encoding to the new LDPC code can be performed based on the parity check matrix initial value table (parity check matrix H obtained from) of the new LDPC code.

When performing LDPC encoding to a new LDPC code with a code length N of 17280 bits, the storage unit 602 of the LDPC encoder 115 (FIG. 8) stores a parity check matrix initial value table of the new LDPC code.

FIG. 30 shows parity check matrix H of type A code (hereinafter also referred to as type A code of r=2/16) as a new LDPC code with code length N of 17280 bits and coding rate r of 2/16. FIG. 10 is a diagram showing an example of a parity check matrix initial value table (for the type A scheme);

FIG. 31 shows parity check matrix H of type A code (hereinafter also referred to as r=3/16 type A code) as a new LDPC code with code length N of 17280 bits and coding rate r of 3/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 32 shows parity check matrix H of type A code (hereinafter also referred to as r=4/16 type A code) as a new LDPC code with code length N of 17280 bits and coding rate r of 4/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 33 shows parity check matrix H of type A code (hereinafter also referred to as r=5/16 type A code) as a new LDPC code with code length N of 17280 bits and coding rate r of 5/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 34 shows parity check matrix H of type A code (hereinafter also referred to as r=6/16 type A code) as a new LDPC code with code length N of 17280 bits and coding rate r of 6/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 35 shows parity check matrix H of type A code (hereinafter also referred to as r=7/16 type A code) as a new LDPC code with code length N of 17280 bits and coding rate r of 7/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 36 shows parity check matrix H of type B code (hereinafter also referred to as r=7/16 type B code) as a new LDPC code with code length N of 17280 bits and coding rate r of 7/16. FIG. 10 is a diagram showing an example of a parity check matrix initial value table (for the type B scheme);

FIG. 37 shows parity check matrix H of type B code (hereinafter also referred to as r=8/16 type B code) as a new LDPC code with code length N of 17280 bits and coding rate r of 8/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 38 shows parity check matrix H of type B code (hereinafter also referred to as type B code of r=9/16) as a new LDPC code with code length N of 17280 bits and coding rate r of 9/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 39 shows a parity check matrix H of a type B code (hereinafter also referred to as a type B code of r=10/16) as a new LDPC code with a code length N of 17280 bits and a coding rate r of 10/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 40 shows a parity check matrix H of a type B code (hereinafter also referred to as a type B code of r=11/16) as a new LDPC code with a code length N of 17280 bits and a coding rate r of 11/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 41 shows a parity check matrix H of a type B code (hereinafter also referred to as a type B code of r=12/16) as a new LDPC code with a code length N of 17280 bits and a coding rate r of 12/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 42 shows parity check matrix H of type B code (hereinafter also referred to as type B code of r=13/16) as a new LDPC code with code length N of 17280 bits and coding rate r of 13/16. It is a figure which shows the example of a parity check matrix initial value table.

FIG. 43 shows a parity check matrix H of a type B code (hereinafter also referred to as a type B code of r=14/16) as a new LDPC code with a code length N of 17280 bits and a coding rate r of 14/16. It is a figure which shows the example of a parity check matrix initial value table.

The new LDPC code is an LDPC code with good performance.

Here, an LDPC code with good performance is an LDPC code obtained from an appropriate parity check matrix H.

An appropriate parity check matrix H is, for example, an LDPC code obtained from the parity check matrix H, when transmitted with a low E _s /N ₀ or E _b /N _o (signal power to noise power ratio per bit) , BER (bit error rate) (and FER (frame error rate)) is a parity check matrix that satisfies a predetermined condition.

An appropriate parity check matrix H can be obtained, for example, by performing a simulation of measuring BER when LDPC codes obtained from various parity check matrices satisfying predetermined conditions are transmitted at low E _s /N _o .

Predetermined conditions that an appropriate parity check matrix H should satisfy are, for example, that the analysis result obtained by a code performance analysis method called Density Evolution is good, and that the number of elements of 1, called cycle 4, is good. There is no loop, and so on.

Here, it is known that the decoding performance of the LDPC code is degraded when the information matrix H _A is densely populated with 1 elements like cycle 4. Therefore, the parity check matrix H includes cycles 4 should be absent.

In the parity check matrix H, the minimum value of the loop length (loop length) composed of 1 elements is called girth. Absence of cycle 4 means that girth is greater than 4.

A predetermined condition that an appropriate parity check matrix H should satisfy can be appropriately determined from the viewpoint of improving the decoding performance of the LDPC code, facilitating (simplifying) the decoding process of the LDPC code, and the like.

FIGS. 44 and 45 are diagrams for explaining density evolution for obtaining analysis results as predetermined conditions that an appropriate parity check matrix H should satisfy.

Density evolution is a code analysis method that calculates the expected value of the error probability for the entire LDPC code (ensemble) with a code length N of ∞ characterized by the degree sequence described later. is.

For example, on an AWGN channel, when the noise variance value is increased from 0, the expected value of the error probability of a certain ensemble is 0 at first, but the noise variance value exceeds a certain threshold. Then it will not be 0.

According to Density Evolution, the performance of the ensemble (appropriateness of the parity check matrix) is evaluated by comparing the threshold value of the noise variance value (hereinafter also referred to as the performance threshold) at which the expected value of the error probability is not 0. can decide.

For a specific LDPC code, the ensemble to which the LDPC code belongs is determined, and density evolution is performed on the ensemble to roughly predict the performance of the LDPC code.

Therefore, if an ensemble with good performance is found, an LDPC code with good performance can be found among the LDPC codes belonging to that ensemble.

Here, the above-mentioned degree sequence represents the proportion of variable nodes and check nodes having weights of respective values with respect to the code length N of the LDPC code.

For example, a regular(3,6) LDPC code with a rate of 1/2 has a degree of 3 in which all variable nodes have a weight (column weight) and all check nodes have a weight (row weight) of 6. Belongs to an ensemble characterized by a sequence.

Figure 44 shows the Tanner graph of such an ensemble.

In the Tanner graph of FIG. 44, there are N variable nodes indicated by circles (○) in the figure equal to the code length N, and check nodes indicated by squares (□) in the figure have the code length N and the coding rate There are N/2 equal to the product multiplied by 1/2.

Each variable node has 3 edges connected to it equal to the column weight, so there are a total of 3N edges connecting to N variable nodes.

Also, each check node has 6 branches connected to it equal to the row weight, so there are a total of 3N branches connecting to N/2 check nodes.

Furthermore, in the Tanner graph of FIG. 44, there is one interleaver.

The interleaver randomly permutes the 3N branches connected to N variable nodes, and converts each permuted branch to one of the 3N branches connected to N/2 check nodes. Connect to one of us.

There are (3N)! (= (3N) x (3N-1) x ... x 1) permutation patterns for permuting 3N branches connected to N variable nodes in the interleaver. There is only Therefore, an ensemble characterized by degree-leakage where all variable nodes have a weight of 3 and all check nodes have a weight of 6 is a set of (3N)! LDPC codes.

A multi-edge type ensemble was used in density evolution in a simulation for obtaining a high-performance LDPC code (appropriate parity check matrix).

In the multi-edge type, the interleaver through which the branches connecting to the variable nodes and the branches connecting to the check nodes go through is divided into multiple (multi-edge), which makes the characterization of the ensemble more strictly done.

FIG. 45 shows an example of a multi-edge type ensemble Tanner graph.

In the Tanner graph of FIG. 45, there are two interleavers, a first interleaver and a second interleaver.

In the Tanner graph of FIG. 45, there is only v1 variable node with one branch connected to the first interleaver, zero branch connected to the second interleaver, and one branch connected to the first interleaver. , only v2 variable nodes with 2 branches leading to the second interleaver, v3 variable nodes with 0 branches leading to the first interleaver and 2 branches leading to the second interleaver, respectively exist.

Furthermore, in the Tanner graph of FIG. 45, there are 2 branches connected to the first interleaver, there are only c1 check nodes with 0 branches connected to the second interleaver, and there are 2 branches connected to the first interleaver. , c2 check nodes with 2 branches leading to the second interleaver, c3 check nodes with 0 branches leading to the first interleaver and 3 branches leading to the second interleaver, respectively. exist.

Here, regarding density evolution and its implementation, see, for example, "On the Design of Low-Density Parity-Check Codes within 0.0045 dB of the Shannon Limit", S.Y.Chung, G.D.Forney, T.J.Richardson,R.Urbanke, IEEE Communications Leggers, VOL.5, NO.2, Feb 2001.

In the simulation for (the check matrix of) the new LDPC code, the BER starts to drop (becomes smaller) due to multi-edge type density evolution, E _b /N ₀ (signal power to noise power ratio per bit). A performance threshold finds an ensemble with a predetermined value or less, and among the LDPC codes belonging to the ensemble, an LDPC code that reduces the BER when using one or more orthogonal modulations such as QPSK is selected as a high-performance LDPC code. Selected.

The new LDPC code (the check matrix initial value table representing the check matrix of the code) was obtained by the above simulation.

Therefore, according to the new LDPC code, it is possible to ensure good communication quality in data transmission.

FIG. 46 is a diagram for explaining the column weights of the parity check matrix H of the type A code as the new LDPC code.

For the parity check matrix H of the type A code, as shown in FIG. X2, the column weight of the subsequent K3 column of the A and C matrices as X3, and the column weight of the subsequent M1 column of the C matrix as XM1, respectively.

Note that K1+K2+K3 is equal to the information length K, and M1+M2 is equal to the parity length M. Therefore K1+K2+K3+M1+M2 equals the code length N=17280 bits.

Also, for the parity check matrix H of the type A code, the column weight of the 1st to M1−1 columns of the B matrix is 2, and the column weight of the M1th column (the last column) of the B matrix is 1. Furthermore, the column weight of the D matrix is 1 and the column weight of the Z matrix is 0.

FIG. 47 is a diagram showing parameters of the parity check matrix H of the type A code (represented by the parity check matrix initial value table) of FIGS. 30 to 35. In FIG.

K, X1, K1, X2, K2, X3, K3 as parameters of parity check matrix H for type A code with r=2/16, 3/16, 4/16, 5/16, 6/16, 7/16 , XM1, M1, and M2 are as shown in FIG.

The parameters X1, K1, X2, K2, X3, K3, XM1, M1 (or M2) are set so as to improve the performance of the LDPC code (eg, error rate, etc.).

FIG. 48 is a diagram for explaining the column weights of the parity check matrix H of the type B code as the new LDPC code.

For the parity check matrix H of the type B code, as shown in FIG. , the column weight of the subsequent KX4 column is denoted by X4, and the column weight of the subsequent KY1 column is denoted by Y1, respectively.

KX1+KX2+KX3+KX4+KY1 is equal to the information length K, and KX1+KX2+KX3+KX4+KY1+M is equal to the code length N=17280 bits.

In addition, for the parity check matrix H of the type B code, the column weight of M−1 columns excluding the last column among the last M columns is 2, and the column weight of the last column is 1.

FIG. 49 is a diagram showing parameters of the parity check matrix H of the type B code (represented by the parity check matrix initial value table) of FIGS. 36 to 43. In FIG.

K, X1, KX1 as parameters of parity check matrix H of type B code with r=7/16, 8/16, 9/16, 10/16, 11/16, 12/16, 13/16, 14/16 , X2, KX2, X3, KX3, X4, KX4, Y1, KY1, and M are as shown in FIG.

Parameters X1, KX1, X2, KX2, X3, KX3, X4, KX4, Y1, and KY1 are set to improve the performance of the LDPC code.

The new LDPC code realizes good BER/FER and a capacity (channel capacity) close to the Shannon limit.

50 to 53 are diagrams explaining other examples of the new LDPC code.

That is, FIG. 50 shows a type A code provided by Japan Broadcasting Corporation as a new LDPC code with a code length N of 17280 bits and a coding rate r of 4/16 (hereafter referred to as a new type with r = 4/16). 2 is a diagram showing an example of a parity check matrix initial value table representing a parity check matrix H of a code (also referred to as A code). FIG.

FIG. 51 is a diagram showing the parameters of the parity check matrix H of the r=7/16 new type A code provided by Japan Broadcasting Corporation.

Parameters K, X1, K1, X2, K2, X3, K3, XM1, M1, M2 are the parameters described with reference to FIG. , K1, X2, K2, X3, K3, XM1, M1, and M2 are as shown in FIG.

FIG. 52 shows a type B code provided by Japan Broadcasting Corporation as a new LDPC code with a code length N of 17280 bits and a coding rate r of 9/16 (hereinafter referred to as a new type B code with r = 9/16). 2 is a diagram showing an example of a parity check matrix initial value table representing a parity check matrix H of (also referred to as a parity check matrix H).

FIG. 53 is a diagram showing parameters of parity check matrix H of new type B code with r=9/16 provided by Japan Broadcasting Corporation.

Parameters K, X1, KX1, X2, KX2, X3, KX3, X4, KX4, Y1, KY1, M are the parameters described in FIG. Parameters K, X1, KX1, X2, KX2, X3, KX3, X4, KX4, Y1, KY1 and M are as shown in FIG.

<Constellation>

54 to 78 are diagrams showing examples of constellations that can be employed in the transmission system of FIG. 7. FIG.

In the transmission system of FIG. 7, for example, a constellation to be used in MODCOD can be set for MODCOD that is a combination of a modulation scheme (MODulation) and an LDPC code (CODE).

One or more constellations can be set for one MODCOD.

Constellations include UC (Uniform Constellation) in which signal points are arranged uniformly and NUC (Non Uniform Constellation) in which the arrangement of signal points is not uniform.

In addition, NUC includes, for example, a constellation called 1D-NUC (1-dimensional (M ² -QAM) non-uniform constellation) and a constellation called 2D-NUC (2-dimensional (QQAM) non-uniform constellation). ration, etc.

In general, 1D-NUC improves BER more than UC, and 2D-NUC improves BER more than 1D-NUC.

A constellation whose modulation method is QPSK becomes UC. As a constellation with a modulation method of 16QAM, 64QAM, 256QAM, etc., for example, UC or 2D-NUC can be adopted. -NUC can be adopted.

In the transmission system of FIG. 7, for example, a constellation specified by ATSC3.0, DVB-C.2, etc., and various other constellations that improve the error rate can be used.

That is, when the modulation scheme is QPSK, for example, the same UC can be used for each coding rate r of the LDPC code.

Also, when the modulation scheme is 16QAM, 64QAM, or 256QAM, for example, the same UC can be used for each coding rate r of the LDPC code. Furthermore, when the modulation scheme is 16QAM, 64QAM, or 256QAM, for example, a different 2D-NUC can be used for each coding rate r of the LDPC code.

Also, when the modulation scheme is 1024QAM or 4096QAM, for example, the same UC can be used for each coding rate r of the LDPC code. Furthermore, when the modulation scheme is 1024QAM or 4096QAM, for example, a different 1D-NUC can be used for each coding rate r of the LDPC code.

Here, QPSK UC is also described as QPSK-UC, and 2 ^m QAM UC is also described as 2 ^m QAM-UC. 2 ^m QAM 1D-NUC and 2D-NUC are also described as 2 ^m QAM-1D-NUC and 2 ^m QAM-2D-NUC, respectively.

Some of the constellations specified in ATSC 3.0 are described below.

FIG. 54 is a diagram showing coordinates of QPSK-UC signal points used for all coding rates of LDPC codes defined in ATSC 3.0 when the modulation scheme is QPSK.

In FIG. 54, "Input Data cell y" represents a 2-bit symbol mapped to QPSK-UC, and "Constellation point _zs " represents the coordinates of signal point _zs . Note that the index s of the signal point _zs (the same applies to the index q of the signal point _zq , which will be described later) represents the discrete time of the symbol (time interval between one symbol and the next symbol).

In FIG. 54, the coordinates of the signal point _zs are represented in the form of complex numbers, and j represents the imaginary unit (√(-1)).

FIG. 55 shows the coding rate r(CR) of the LDPC code specified by ATSC3.0 when the modulation scheme is 16QAM = 2/15, 3/15, 4/15, 5/15, 6/ 15, 7/15, 8/15, 9/15, 10/15, 11/15, 12, 15, and 13/15 are diagrams showing coordinates of signal points of 16QAM-2D-NUC used; FIG.

In FIG. 55, as in FIG. 54, the coordinates of the signal point _zs are represented in the form of complex numbers, and j represents the imaginary unit.

In FIG. 55, w#k represents the coordinates of the signal point in the first quadrant of the constellation.

In the 2D-NUC, the signal points in the 2nd quadrant of the constellation are placed in positions symmetrically shifted from the signal points in the 1st quadrant with respect to the Q-axis, and the signal points in the 3rd quadrant of the constellation are placed in the 3rd quadrant. The signal points of one quadrant are arranged at positions shifted symmetrically with respect to the origin. Then, the signal points in the fourth quadrant of the constellation are arranged at positions shifted symmetrically with respect to the I axis from the signal points in the first quadrant.

Here, when the modulation scheme is 2 ^m QAM, m bits are defined as one symbol, and that one symbol is mapped to the signal point corresponding to that symbol.

For ^{example, an m-bit symbol can be represented by an integer value from 0 to 2 m -1 .} y(0), y(1), ^. 2b) to y(3b-1) and y(3b) to y(4b-1).

In FIG. 55, the suffix k of w#k takes integer values ranging from 0 to b-1 and w#k is the symbol y(k) ranging from symbols y(0) to y(b-1). represents the coordinates of the signal point corresponding to .

Then, the coordinates of the signal point corresponding to symbol y(k+b) in the range of symbols y(b) to y(2b-1) are represented by -conj(w#k) and symbol y(2b) to The coordinates of the signal point corresponding to the symbol y(k+2b) within the range y(3b-1) are represented by conj(w#k). Also, the coordinates of the signal point corresponding to symbol y(k+3b) in the range of symbols y(3b) to y(4b-1) are represented by -w#k.

where conj(w#k) represents the complex conjugate of w#k.

For example, if the modulation scheme is 16QAM, m= ⁴ -bit symbols y(0), y(1), . It is classified into four categories: (0) to y(3), y(4) to y(7), y(8) to y(11), and y(12) to y(15).

Then, among symbols y(0) to y(15), for example, symbol y(12), symbol y(k+3b)=y( 0+3×4) and k=0, the coordinates of the signal point corresponding to symbol y(12) are -w#k=-w0.

Now, assuming that the coding rate r(CR) of the LDPC code is, for example, 9/15, according to FIG. 55, w0 is 0.2386+j0.5296, so the coordinate -w0 of the signal point corresponding to symbol y(12) is -(0.2386+j0.5296).

FIG. 56 shows the coding rate r(CR) of the LDPC code specified by ATSC3.0 when the modulation scheme is 1024QAM = 2/15, 3/15, 4/15, 5/15, 6/ 15, 7/15, 8/15, 9/15, 10/15, 11/15, 12, 15, and 13/15 are diagrams showing examples of coordinates of signal points of 1024QAM-1D-NUC. .

In FIG. 56, u#k represents the complex real part Re(z _s ) and imaginary part Im(z _s ) as the coordinates of the signal point z _s of the 1D-NUC, and the vector u=(u0 , u1,..., u#V-1). The number V of components u#k of the position vector u is given by the formula V=√(2 ^m )/2.

FIG. 57 is a diagram showing the relationship between the 1024QAM symbol y and the position vector u (component u#k of).

Now, let's take a 1024QAM 10-bit symbol y from its leading bit (most significant bit) as _y0,s , _y1,s , y2 _,s , _y3,s , _y4,s , _{y5, s} , _y6,s , _y7,s , _y8,s , and _y9,s .

FIG. 57A shows five even-numbered bits _y1,s , _y3,s , _y5,s , _y7,s , _{y9,s of the} symbol y and the signal point _zs corresponding to the symbol y. , which represents the correspondence with u#k representing the (coordinate) real part Re(z _s ).

B in FIG. 57 shows the five odd-numbered bits _y0,s , _y2,s , _y4,s , _y6,s , _y8,s of the symbol y and the signal point _zs corresponding to the symbol y. represents the correspondence with u#k representing the imaginary part Im(z _s ) of .

1024QAM 10-bit symbol y = ( _y0,s , _{y1,s, y2} ,s _{, y3,s} , _{y4,s , y5,s} , _y6,s , _y7,s , y _8,s , y _9,s ) is, for example, (0,0,1,0,0,1,1,1,0,0), the odd-numbered 5 bits (y _0,s , y _2,s , y _4,s , y _6,s , y _8,s ) is (0,1,0,1,0) and even-numbered 5 bits (y _1,s , y _3,s , _y5,s , _y7,s , _y9,s ) are (0,0,1,1,0).

In FIG. 57A, even-numbered 5 bits (0,0,1,1,0) are associated with u11, so symbol y=(0,0,1,0,0,1, The real part Re(z _s ) of the signal point z _s corresponding to 1,1,0,0) is u11.

In FIG. 57B, the 5 odd-numbered bits (0,1,0,1,0) are associated with u3, so symbol y=(0,0,1,0,0,1, 1,1,0,0), the imaginary part Im(z _s ) of the signal point z _s is u3.

On the other hand, if the coding rate r of the LDPC code is, for example, 6/15, according to FIG. For the 1D-NUC used in some cases, u3 is 0.1295 and u11 is 0.7196.

Therefore, the real part Re(z _s ) of signal point z _s corresponding to symbol y = (0,0,1,0,0,1,1,1,0,0) is u11 = 0.7196, which is the imaginary The part Im(z _s ) becomes u3=0.1295. As a result, the coordinates of the signal point _zs corresponding to the symbol y=(0,0,1,0,0,1,1,1,0,0) are represented by 0.7196+j0.1295.

In the constellation, the signal points of the 1D-NUC are arranged in a grid on straight lines parallel to the I axis and straight lines parallel to the Q axis. However, the intervals between signal points are not constant. Also, in transmitting (data mapped to) signal points, the average power of the signal points on the constellation can be normalized. Let P _ave be the mean square of _the absolute values of all signal points (coordinates) on the constellation _. P _ave ) can be done by multiplying each signal point z _s on the constellation.

The transmission system in FIG. 7 can use the constellation defined by ATSC 3.0 as described above.

58 to 69 are diagrams showing coordinates of UC signal points defined in DVB-C.2.

That is, FIG. 58 is a diagram showing the real part Re(z _q ) of the coordinate z _q of the signal point of QPSK-UC (UC of QPSK) defined by DVB-C.2. FIG. 59 is a diagram showing the imaginary part Im(z _q ) of the coordinates z _q of the QPSK-UC signal point defined in DVB-C.2.

FIG. 60 is a diagram showing real part Re(z _q ) of coordinate z _q of a 16QAM-UC (UC of 16QAM) signal point defined by DVB-C.2. FIG. 61 is a diagram showing the imaginary part Im(z _q ) of the coordinates z _q of the 16QAM-UC signal point defined by DVB-C.2.

FIG. 62 is a diagram showing the real part Re(z _q ) of the coordinate z _q of the 64QAM-UC (UC of 64QAM) signal point defined by DVB-C.2. FIG. 63 is a diagram showing the imaginary part Im(z _q ) of the coordinate z _q of the 64QAM-UC signal point defined by DVB-C.2.

FIG. 64 is a diagram showing the real part Re(z _q ) of the coordinates z _q of the 256QAM-UC (UC of 256QAM) signal point defined by DVB-C.2. FIG. 65 is a diagram showing the imaginary part Im(z _q ) of the coordinate z _q of the 256QAM-UC signal point defined by DVB-C.2.

FIG. 66 is a diagram showing the real part Re(z _q ) of the coordinates z _q of the 1024QAM-UC (UC of 1024QAM) signal point defined by DVB-C.2. FIG. 67 is a diagram showing the imaginary part Im(z _q ) of the coordinates z _q of the 1024QAM-UC signal point defined by DVB-C.2.

FIG. 68 is a diagram showing the real part Re(z _q ) of the coordinate z _q of the 4096QAM-UC (4096QAM UC) signal point defined by DVB-C.2. FIG. 69 is a diagram showing the imaginary part Im(z _q ) of the coordinate z _q of the 4096QAM-UC signal point defined by DVB-C.2.

In FIGS. 58 to 69, y _i,q represents the (i+1)-th bit from the beginning of the m-bit symbol of 2 ^m QAM (for example, 2 bits in QPSK). In addition, when transmitting (data mapped to) UC signal points, the average power of the signal points on the constellation can be normalized. Let P _ave be the mean square of _the absolute values of all signal points (coordinates) on the constellation _. P _ave ) can be done by multiplying each signal point z _q on the constellation.

The transmission system in FIG. 7 can use the UC defined by DVB-C.2 as described above.

30 to 43, 50 and 52, the code length N is 17280 bits and the coding rate r is 2/16, 3/16, 4/16, 5/16, 6/16, For the new LDPC codes (corresponding to the parity check matrix initial value table) of 7/16, 8/16, 9/16, 10/16, 11/16, 12/16, 13/16, and 14/16, , the UC shown in FIGS. 58-69 can be used.

FIGS. 70 to 78 show the code length N of 17280 bits and the coding rate r of 2/16, 3/16, 4/16 and 5/16 in FIGS. 30 to 43, 50 and 52. , 6/16, 7/16, 8/16, 9/16, 10/16, 11/16, 12/16, 13/16, and 14/16 NUC signals that can be used for each new LDPC code FIG. 4 is a diagram showing an example of coordinates of points;

That is, FIG. 70 is a diagram showing an example of coordinates of 16QAM-2D-NUC signal points that can be used for the new LDPC code.

FIG. 71 is a diagram showing an example of coordinates of 64QAM-2D-NUC signal points that can be used for the new LDPC code.

72 and 73 are diagrams showing examples of coordinates of 256QAM-2D-NUC signal points that can be used for the new LDPC code.

Note that FIG. 73 is a diagram following FIG. 72 .

In FIGS. 70 to 73, as in FIG. 55, the coordinates of the signal point _zs are represented in the form of complex numbers, and j represents the imaginary unit.

70 to 73, w#k represents the coordinates of the signal point in the first quadrant of the constellation, as in FIG.

Here, as described in FIG. 55, an m-bit symbol is represented by an integer value of 0 to 2 ^m -1, and if b=2 ^m /4, an integer value of 0 to 2 ^m -1 Symbols y(0), y(1), ..., y(2 ^m -1) represented by 1), y(2b) to y(3b-1), and y(3b) to y(4b-1).

In FIGS. 70-73, as in FIG. 55, the suffix k of w#k takes integer values ranging from 0 to b-1, and w#k is the symbol y(0) to y(b-1 ) represents the coordinates of the signal point corresponding to the symbol y(k).

Furthermore, in FIGS. 70 to 73, as in FIG. 55, the coordinates of the signal point corresponding to symbol y(k+3b) in the range of symbols y(3b) to y(4b-1) are -w#k is represented by

However, in FIG. 55, the coordinates of the signal point corresponding to symbol y(k+b) in the range of symbols y(b) to y(2b-1) are represented by -conj(w#k), and symbol y The coordinates of the signal point corresponding to the symbol y(k+2b) in the range from (2b) to y(3b-1) are represented by conj(w#k). sign is reversed.

That is, in FIGS. 70 to 73, the coordinates of the signal point corresponding to symbol y(k+b) in the range of symbols y(b) to y(2b-1) are represented by conj(w#k), The coordinates of the signal point corresponding to symbol y(k+2b) in the range of symbols y(2b) to y(3b-1) are represented by -conj(w#k).

FIG. 74 is a diagram showing an example of coordinates of 1024QAM-1D-NUC signal points that can be used for the new LDPC code.

That is, FIG. 74 shows the real part Re(z _s ) and the imaginary part Im(z _s ) of the complex numbers as the coordinates of the signal point z _s of the 1024QAM-1D-NUC, the position vector u (component u#k of), and It is a figure which shows the relationship of.

FIG. 75 is a diagram showing the relationship between the 1024QAM symbol y and the position vector u (component u#k of) in FIG.

That is, now, let's take a 1024QAM 10-bit symbol y from its leading bit (most significant bit) as y _0,s , y _{1,s ,} y _2,s , y _3,s , y _4,s , y _5,s , _y6,s , _y7,s , _y8,s , and _y9,s .

FIG. 75A shows the odd-numbered 5 bits _y0,s , _y2,s , _y4,s , _y6,s , _y8,s of the 10-bit symbol y (from the beginning), and the symbol y and the position vector u#k representing the real part Re(z _s ) of (coordinates of) the signal point z _s corresponding to .

FIG. 75B shows even-numbered 5-bits _y1,s , _y3,s , _y5,s , _y7,s , and _y9,s of the 10-bit symbol y and signals corresponding to the symbol y. It represents the correspondence relationship with the position vector u#k representing the imaginary part Im(z _s ) of the point z _s .

When the 1024QAM 10-bit symbol y is mapped to the 1024QAM-1D-NUC signal _{point zs} defined in FIGS. Since it is the same as the case described with reference to FIG. 57, the description is omitted.

FIG. 76 is a diagram showing an example of coordinates of 4096QAM-1D-NUC signal points that can be used for the new LDPC code.

That is, FIG. 76 shows the relationship between the complex number real part Re(z _s ) and imaginary part Im(z _s ) as the coordinates of the signal point z _s of the 4096QAM-1D-NUC and the position vector u(u#k). It is a figure which shows.

77 and 78 are diagrams showing the relationship between the 4096QAM symbol y and the position vector u (component u#k of) in FIG.

That is, now, the 12-bit symbol y of 4096QAM is taken from the leading bit (most significant bit) of _y0,s , _y1,s , y2 _,s , _y3,s , _y4,s , y _5,s , _y6,s , _y7,s , _y8,s , _y9,s , _y10,s , _y11,s .

FIG. 77 shows odd-numbered 6 bits _y0,s , _y2,s , _y4,s , _y6,s , _y8,s , _y10,s of the 12-bit symbol y, and It represents the correspondence relationship with the position vector u#k representing the real part Re(z _s ) of the corresponding signal point z _s .

FIG. 78 shows even-numbered 6 bits _y1,s , _y3,s , _y5,s , _y7,s , _y9,s , _y11,s of a 12-bit symbol y, and It represents the correspondence relationship with the position vector u#k representing the imaginary part Im(z _s ) of the corresponding signal point z _s .

When the 4096QAM 12-bit symbol y is mapped to the 4096QAM-1D-NUC signal _{point zs} defined in FIGS. Since it is the same as the case described with reference to FIG. 57, the description is omitted.

In transmitting (data mapped to) NUC signal points in FIGS. 70 to 78, the average power of the signal points on the constellation can be normalized. Let P _ave be the mean square of _the absolute values of all signal points (coordinates) on the constellation _. P _ave ) can be done by multiplying each signal point z _s on the constellation. Also, in FIG. 57 described above, odd-numbered bits of symbol y are associated with position vector u#k representing the imaginary part Im(z _s ) of signal point z _s , and even-numbered bits of symbol y is associated with the position vector u#k representing the real part Re(z _s ) of the signal point z _s . is associated with the position vector u#k representing the real part Re(z _s ) of signal point z _s , and the even-numbered bits of symbol y represent the imaginary part Im(z _s ) of signal point z _s It is associated with the position vector u#k.

<Block Interleaver 25>

FIG. 79 is a diagram for explaining block interleaving performed by the block interleaver 25 of FIG.

Block interleaving is performed by dividing the LDPC code of one codeword into a part called part 1 and a part called part 2 from the beginning.

Letting the length of part 1 (number of bits) be Npart1 and the length of part 2 be Npart2, Npart1+Npart2 is equal to code length N.

Conceptually, in block interleaving, the column (vertical) direction as one direction is a storage area for storing Npart1/m bits, and the row direction orthogonal to the column direction is the number of bits of a symbol. Arranged by a number m equal to m, each column is partitioned from above into 360-bit subunits with a parallel factor P. This small column unit is also called a column unit.

In block interleaving, as shown in FIG. 79, writing part 1 of the LDPC code of one codeword from the top to the bottom (column direction) of the first column unit of the column is equivalent to writing from the left to the right column. It is done towards

Then, when the writing to the first column unit of the rightmost column is completed, as shown in FIG. Part 1 of the LDPC code of one codeword is written in the same manner, starting from the rightward column.

When the writing of the part 1 of the LDPC code of one code word is completed, as shown in FIG. 79, the part 1 of the LDPC code is read in units of m bits in the row direction from the first row of all m columns. .

This m-bit unit of part 1 is provided from block interleaver 25 to mapper 117 (FIG. 8) as an m-bit symbol.

Part 1 is read in units of m bits, starting from the bottom row of m columns. is supplied from the block interleaver 25 to the mapper 117 as symbols of .

Therefore, part 1 is symbolized while being interleaved, and part 2 is symbolized by dividing into m bits sequentially without being interleaved.

Npart1/m, the column length, is a multiple of 360, which is the parallel factor P, so that Npart1/m is a multiple of 360, a one-codeword LDPC code has part 1 and part 2 can be divided into

FIG. 80 is a diagram showing an example of Part 1 and Part 2 of an LDPC code with a code length N of 17280 bits for each of QPSK, 16QAM, 64QAM, and 256QAM modulation schemes.

When the modulation scheme is QPSK, 16QAM, 64QAM, and 256QAM, Part 1 is 17280 bits and Part 2 is 0 bits in any case.

<Groupwise interleave>

FIG. 81 is a diagram for explaining the groupwise interleaving performed by the groupwise interleaver 24 of FIG.

In group-wise interleaving, as shown in FIG. 81, the LDPC code of one codeword is divided into 360-bit units equal to the parallel factor P from the beginning, and the 360 bits of one division are used as a bit group for one code. The LDPC codes of words are interleaved in bit groups according to a predetermined pattern (hereinafter also referred to as GW pattern).

Here, when the LDPC code of one codeword is divided into bit groups, the (i+1)-th bit group from the beginning is hereinafter also referred to as bit group i.

When the parallel factor P is 360, for example, an LDPC code with a code length N of 1800 bits is divided into 5 (=1800/360) bit groups of bit groups 0, 1, 2, 3 and 4. Further, for example, an LDPC code with a code length N of 69120 bits is divided into 192 (=69120/360) bit groups of bit groups 0, 1, . Also, for example, an LDPC code with a code length N of 17280 bits is divided into 48 (=17280/360) bit groups of bit groups 0, 1, .

In the following, the GW pattern is represented by a sequence of numbers representing bit groups. For example, for an LDPC code of 5 bit groups 0,1,2,3,4 with a code length N of 1800 bits, for example, the GW pattern 4,2,0,3,1 is for bit groups 0,1, It represents interleaving (permuting) the sequence of 2, 3, 4 into the sequence of bit groups 4, 2, 0, 3, 1. The sequence of bit groups and the GW pattern are represented by a comma-separated sequence of numbers representing bit groups (e.g. 4,2,0,3,1), and a space-separated sequence of numbers representing bit groups ( For example, 4 2 0 3 1).

For example, let x _i be the i+1-th code bit from the beginning of an LDPC code with a code length N of 1800 bits.

In this case, according to the group-wise interleaving of the GW pattern 4,2,0,3,1, the 1800-bit LDPC code { _x0 , _x1 ,..., _x1799 } is represented by { _x1440 , _x1441 , ...,x ₁₇₉₉ }，{x ₇₂₀ ,x ₇₂₁ ,...,x ₁₀₇₉ }，{x ₀ ,x ₁ ,...,x ₃₅₉ }，{x ₁₀₈₀ ,x ₁₀₈₁ ,...,x ₁₄₃₉ }, {x ₃₆₀ , x ₃₆₁ ,..., x ₇₁₉ } are interleaved.

The GW pattern is for each code length N of the LDPC code, each coding rate r, each modulation scheme, each constellation, and two or more of the code length N, coding rate r, modulation scheme, and constellation. It can be set for each combination.

<Example of GW pattern for LDPC code>

FIG. 82 is a diagram showing a first example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 82, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
are interleaved alongside.

FIG. 83 is a diagram showing a second example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 83, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
19 33 45 22 43 23 46 32 11 40 13 34 14 47 0 12 6 26 37 4 5 17 25 30 39 29 27 28 10 21 36 9 3 20 24 42 7 41 44 38 15 8 31 16 2 1 35 18
are interleaved alongside.

FIG. 84 is a diagram showing a third example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 84, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
are interleaved alongside.

FIG. 85 is a diagram showing a fourth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 85, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
are interleaved alongside.

FIG. 86 is a diagram showing a fifth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 86, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
are interleaved alongside.

FIG. 87 is a diagram showing a sixth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 87, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
are interleaved alongside.

FIG. 88 is a diagram showing a seventh example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 88, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
0 34 30 6 11 35 5 24 4 13 15 16 3 31 39 40 37 47 28 12 36 42 33 22 20 8 9 44 29 18 25 21 23 10 14 26 45 7 27 46 1 2 17 41 19 43 38 32
are interleaved alongside.

FIG. 89 is a diagram showing an eighth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 89, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
33 16 0 26 35 31 21 34 42 43 32 29 7 47 37 28 5 9 30 25 3 17 23 24 41 45 20 12 27 39 8 4 1 6 2 38 10 40 18 19 46 11 36 13 22 14 15 44
are interleaved alongside.

FIG. 90 is a diagram showing a ninth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 90, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
41 10 21 37 9 8 11 27 16 23 25 2 34 7 29 28 5 15 31 45 4 43 33 22 18 13 35 30 6 12 44 1 20 40 42 39 19 17 36 38 26 0 32 3 47 14 24 46
are interleaved alongside.

FIG. 91 is a diagram showing a tenth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 91, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
15 21 29 10 12 32 1 9 31 47 23 30 26 18 0 28 7 20 43 44 3 45 5 17 16 46 40 39 6 38 34 36 22 33 27 24 25 13 14 37 19 8 42 11 4 2 35 41
are interleaved alongside.

FIG. 92 is a diagram showing an eleventh example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 92, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
are interleaved alongside.

FIG. 93 is a diagram showing a twelfth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 93, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
31 23 1 42 36 25 47 3 12 30 32 8 11 27 21 40 16 13 34 4 26 35 46 20 29 28 5 43 18 39 24 14 0 10 7 41 37 9 38 33 2 6 19 45 17 15 22 44
are interleaved alongside.

FIG. 94 is a diagram showing a thirteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 94, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
46 11 23 33 10 0 17 47 20 5 38 29 28 16 41 27 2 31 43 37 34 12 35 24 21 44 40 36 32 39 4 19 26 6 30 9 42 1 22 8 3 45 14 1 5 13 7 25 18
are interleaved alongside.

FIG. 95 is a diagram showing a fourteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 95, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
16 32 33 43 3 29 0 22 40 24 44 8 20 13 15 45 7 34 39 42 25 28 18 26 38 10 11 41 47 23 6 1 14 4 12 31 21 19 37 36 30 5 46 27 35 2 9 17
are interleaved alongside.

FIG. 96 is a diagram showing a fifteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 96, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
23 42 33 17 37 2 22 14 21 0 12 44 30 1 25 35 46 13 10 24 20 15 45 31 41 43 28 36 16 4 32 18 3 6 34 11 40 5 38 27 29 8 26 7 39 9 47 19
are interleaved alongside.

FIG. 97 is a diagram showing a sixteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 97, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
7 0 8 39 17 3 32 2 13 19 16 14 5 10 27 35 45 26 44 43 11 24 28 34 20 29 22 41 18 9 37 12 21 4 46 33 15 36 42 1 40 25 23 3 0 6 38 31 47
are interleaved alongside.

FIG. 98 is a diagram showing a seventeenth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 98, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
1 28 12 35 23 36 24 17 10 14 15 37 18 13 41 38 33 29 16 21 27 4 9 31 45 40 0 46 7 43 30 34 8 44 47 2 20 6 42 3 22 39 5 32 11 19 25 26
are interleaved alongside.

FIG. 99 is a diagram showing an eighteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 99, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
9 8 3 40 27 4 7 45 28 29 14 41 20 6 21 5 36 12 31 39 30 15 37 10 34 25 1 47 26 13 32 43 44 24 33 16 42 2 22 19 18 35 23 4 6 11 17 38 0
are interleaved alongside.

FIG. 100 is a diagram showing a nineteenth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 100, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
12 42 40 41 20 18 27 24 39 6 0 15 8 31 10 3 13 46 4 37 33 25 44 2 16 23 28 14 17 43 45 1 35 38 26 21 36 22 47 11 34 29 30 32 19 7 5 9
are interleaved alongside.

FIG. 101 is a diagram showing a twentieth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 101, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
33 18 21 29 14 4 35 32 26 15 11 6 1 47 38 17 45 27 2 5 16 12 23 25 3 0 42 13 41 46 9 24 40 43 7 31 39 34 30 20 8 36 22 10 19 28 37 44
are interleaved alongside.

FIG. 102 is a diagram showing a twenty-first example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 102, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
7 28 41 8 6 12 14 47 4 38 32 37 23 33 15 46 22 0 34 24 40 45 27 19 43 11 36 9 17 21 31 44 2 1 26 13 42 30 35 5 29 25 16 2 0 39 10 18 3
are interleaved alongside.

FIG. 103 is a diagram showing a twenty-second example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 103, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
30 14 40 26 21 5 12 3 18 17 11 38 4 46 7 31 0 1 27 36 8 10 2 22 13 9 37 42 41 32 15 39 23 25 34 24 35 28 20 16 19 33 6 43 29 45 47 44
are interleaved alongside.

FIG. 104 is a diagram showing a twenty-third example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 104, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
23 20 14 9 44 41 19 36 38 13 16 28 0 8 2 39 31 29 21 10 11 33 32 27 46 7 5 35 26 1 43 40 37 17 47 30 6 18 15 42 3 25 4 22 24 12 45 34
are interleaved alongside.

FIG. 105 is a diagram showing a twenty-fourth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 105, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
37 30 14 13 2 31 27 9 46 41 47 18 23 28 43 10 39 42 16 22 36 8 33 32 4 1 45 19 12 6 35 0 24 25 15 38 44 7 26 21 34 40 29 20 11 5 17 3
are interleaved alongside.

FIG. 106 is a diagram showing a twenty-fifth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 106, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
6 28 25 38 43 11 21 31 47 8 17 39 23 27 30 32 3 35 12 7 1 16 18 36 10 24 41 4 44 22 5 33 46 29 0 26 9 42 37 45 15 40 2 19 14 20 34 13
are interleaved alongside.

FIG. 107 is a diagram showing a twenty-sixth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 107, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
39 11 12 7 3 1 40 31 27 0 45 42 6 5 24 36 46 19 34 22 29 13 35 2 17 33 20 14 15 25 38 9 41 30 44 18 8 28 37 4 32 47 16 43 21 23 26 10
are interleaved alongside.

FIG. 108 is a diagram showing a twenty-seventh example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 108, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
7 19 31 20 36 35 2 4 46 12 28 21 39 43 26 23 32 5 37 3 11 34 18 45 24 1 13 47 10 27 0 9 33 25 8 40 6 16 22 29 42 38 14 44 41 17 30 15
are interleaved alongside.

FIG. 109 is a diagram showing a twenty-eighth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 109, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
12 7 39 31 30 44 14 33 35 17 37 27 2 28 9 26 32 3 46 0 34 6 43 25 21 47 18 45 5 20 13 38 11 29 16 36 8 40 15 41 10 23 1 1 9 4 22 42 24
are interleaved alongside.

FIG. 110 is a diagram showing a twenty-ninth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 110, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
20 19 13 25 32 9 5 24 39 4 29 40 14 18 43 46 21 44 10 15 35 3 23 47 37 12 30 33 27 36 8 28 38 7 42 22 2 0 6 16 45 26 17 1 1 31 34 41 1
are interleaved alongside.

FIG. 111 is a diagram showing a thirtieth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 111, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
19 20 44 3 6 28 13 15 16 24 9 34 39 8 17 40 29 31 22 10 11 7 35 42 23 2 14 37 33 1 26 45 38 12 47 30 5 18 46 0 41 27 4 21 43 25 36 32
are interleaved alongside.

FIG. 112 is a diagram showing a thirty-first example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 112, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
4 26 7 21 43 42 33 17 35 19 10 39 27 13 18 34 38 3 28 36 1 5 44 37 16 30 14 9 32 47 29 2 31 23 0 24 11 8 6 46 40 45 15 22 25 20 12 41
are interleaved alongside.

FIG. 113 is a diagram showing a thirty-second example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 113, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
8 28 33 21 1 39 34 7 0 17 5 41 23 2 14 10 29 25 13 18 35 38 27 44 20 32 31 11 40 30 24 3 36 22 15 37 16 6 42 45 19 47 12 26 43 9 46 4
are interleaved alongside.

FIG. 114 is a diagram showing a thirty-third example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 114, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
0 39 23 44 19 21 35 13 36 27 47 3 31 11 9 41 43 8 14 26 6 5 15 16 38 7 32 22 30 33 37 40 28 45 12 24 17 42 20 29 1 4 10 2 25 18 46 34
are interleaved alongside.

FIG. 115 is a diagram showing a thirty-fourth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 115, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
11 0 42 24 46 27 25 3 1 41 22 40 19 18 14 36 33 4 47 12 39 30 13 5 2 7 31 9 38 35 15 43 45 44 28 20 32 21 26 23 6 10 8 37 17 34 29 16
are interleaved alongside.

FIG. 116 is a diagram showing a thirty-fifth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 116, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
5 45 42 35 13 41 2 29 15 11 16 0 8 1 33 34 44 7 43 22 24 19 9 38 18 12 26 20 28 21 10 30 40 6 46 37 47 17 3 32 4 39 23 25 36 14 31 27
are interleaved alongside.

FIG. 117 is a diagram showing a thirty-sixth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 117, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
18 16 21 2 43 10 44 42 19 15 20 26 1 38 46 28 17 29 6 22 7 32 31 30 24 3 8 9 12 37 47 40 39 5 35 11 25 45 34 33 23 4 14 2 7 13 41 36 0
are interleaved alongside.

FIG. 118 is a diagram showing a thirty-seventh example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 118, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
28 9 4 27 17 10 12 6 19 30 1 23 39 14 38 34 46 8 15 43 13 47 0 44 7 24 45 18 25 29 37 42 22 31 11 36 20 32 41 33 2 26 21 5 3 16 40 35
are interleaved alongside.

FIG. 119 is a diagram showing a thirty-eighth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 119, the arrangement of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
5 37 36 38 16 21 41 44 10 18 26 27 15 1 43 2 33 14 9 30 8 12 23 4 13 35 31 3 34 19 42 47 46 29 0 25 20 17 39 45 28 6 22 1 1 32 40 24 7
are interleaved alongside.

FIG. 120 is a diagram showing a thirty-ninth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 120, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
11 1 12 21 13 15 24 36 34 0 37 9 14 39 19 16 17 28 40 29 23 46 30 38 33 3 6 18 26 7 27 45 10 25 4 42 31 43 35 32 5 8 44 4 1 47 22 20 2
are interleaved alongside.

FIG. 121 is a diagram showing a 40th example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 121, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
3 41 6 42 21 2 25 45 8 39 34 26 47 43 23 20 13 16 38 24 5 40 0 11 7 31 32 15 36 33 9 12 10 30 29 14 18 35 46 4 28 19 1 44 37 27 17 22
are interleaved alongside.

FIG. 122 is a diagram showing a 41st example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 122, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
40 42 11 10 15 6 34 37 16 45 25 47 32 8 17 26 29 7 18 21 46 44 28 27 20 38 43 36 33 5 24 9 13 2 0 4 39 31 1 22 30 12 14 4 1 23 3 19 35
are interleaved alongside.

FIG. 123 is a diagram showing a 42nd example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 123, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is the bit group
6 0 20 18 37 27 39 3 1 2 46 11 24 36 14 15 4 16 10 13 35 23 26 30 19 42 7 9 33 40 12 34 22 5 28 21 32 38 44 25 17 41 29 4 5 8 47 31 43
are interleaved alongside.

FIG. 124 is a diagram showing a 43rd example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 124, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
8 25 12 9 26 37 35 28 14 5 6 2 29 38 22 31 11 21 17 33 42 43 36 45 20 27 44 13 16 46 10 30 3 32 19 1 15 4 18 40 47 7 34 2 4 41 23 39 0
are interleaved alongside.

FIG. 125 is a diagram showing a forty-fourth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 125, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
7 17 26 27 9 39 46 47 32 12 35 25 14 11 22 23 16 29 38 33 34 4 40 10 5 18 37 1 24 44 30 3 0 45 28 13 15 20 6 21 31 19 2 8 41 36 42 43
are interleaved alongside.

FIG. 126 is a diagram showing a forty-fifth example of a GW pattern for an LDPC code with a code length N of 17280 bits.

According to the GW pattern in FIG. 126, the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is bit group
11 14 32 27 44 43 0 47 1 8 35 33 7 2 41 15 13 4 23 30 16 42 46 24 9 17 21 20 18 5 19 12 3 34 28 40 39 37 31 38 45 36 6 22 26 10 25 29
are interleaved alongside.

The above first to 45th examples of GW patterns for the LDPC code with a code length N of 17280 bits are LDPC codes with a code length N of 17280 bits, an arbitrary coding rate r, an arbitrary modulation scheme, and It can be applied to any combination of arbitrary constellations.

However, for group-wise interleaving, by setting the GW pattern to be applied for each combination of the code length N of the LDPC code, the coding rate r of the LDPC code, the modulation scheme, and the constellation, for each combination, the error rate can be improved.

The GW pattern in FIG. 82 applies, for example, to the combination of type A code with r=3/16 (corresponding to the check matrix initial value table) in FIG. 31, QPSK, and QPSK-UC in FIGS. A particularly good error rate can thereby be achieved.

The GW pattern in FIG. 83 has a particularly good error rate by applying it to, for example, the r=5/16 type A code in FIG. 33, QPSK, and the combination of QPSK-UC in FIGS. can be achieved.

The GW pattern in FIG. 84 has a particularly good error rate when applied to, for example, the r=7/16 type B code in FIG. 36, QPSK, and the QPSK-UC combination in FIGS. can be achieved.

By applying the GW pattern of FIG. 85 to, for example, the r=9/16 new type B code of FIG. 52, QPSK, and the combination of QPSK-UC of FIGS. can be achieved.

By applying the GW pattern in FIG. 86 to, for example, the r=11/16 type B code in FIG. 40, QPSK, and the combination of QPSK-UC in FIGS. can be achieved.

By applying the GW pattern of FIG. 87 to, for example, the r=13/16 type B code of FIG. 42, QPSK, and the combination of QPSK-UC of FIGS. can be achieved.

By applying the GW pattern in FIG. 88 to, for example, the r=3/16 type A code in FIG. 31, 16QAM, and the combination of 16QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 89 to, for example, the r=5/16 type A code in FIG. 33, 16QAM, and the combination of 16QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 90, for example, to the r=7/16 type B code in FIG. 36, 16QAM, and the combination of 16QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 91, for example, to the new type B code with r=9/16 in FIG. 52, 16QAM, and the combination of 16QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 92, for example, to the r=11/16 type B code in FIG. 40, 16QAM, and the combination of 16QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 93, for example, to the r=13/16 type B code in FIG. 42, 16QAM, and the 16QAM-UC combination in FIGS. can be achieved.

The GW pattern in FIG. 94 achieves a particularly good error rate, for example, by applying it to the r=2/16 type A code in FIG. 30, 16QAM, and the combination of 16QAM-2D-NUC in FIG. can do.

By applying the GW pattern in FIG. 95, for example, to the r=4/16 new type A code in FIG. 50, 16QAM, and the combination of 16QAM-2D-NUC in FIG. can be achieved.

The GW pattern in FIG. 96 achieves a particularly good error rate, for example, by applying it to the r=6/16 type A code in FIG. 34, 16QAM, and the combination of 16QAM-2D-NUC in FIG. can do.

The GW pattern in FIG. 97 achieves a particularly good error rate, for example, by applying it to the combination of r=8/16 type B code, 16QAM in FIG. 37, and 16QAM-2D-NUC in FIG. can do.

The GW pattern in FIG. 98 achieves a particularly good error rate, for example, by applying it to the r=10/16 type B code in FIG. 39, 16QAM, and the combination of 16QAM-2D-NUC in FIG. can do.

The GW pattern in FIG. 99 achieves a particularly good error rate, for example, by applying it to the r=12/16 type B code in FIG. 41, 16QAM, and the combination of 16QAM-2D-NUC in FIG. can do.

The GW pattern in FIG. 100 achieves particularly good error rates, for example, by applying it to the combination of r=14/16 type B code, 16QAM in FIG. 43, and 16QAM-2D-NUC in FIG. can do.

By applying the GW pattern in FIG. 101, for example, to the r=2/16 type A code in FIG. 30, 64QAM, and the combination of 64QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 102, for example, to the new type A code with r=4/16 in FIG. 50, 64QAM, and the combination of 64QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 103, for example, to the r=6/16 type A code in FIG. 34, 64QAM, and the combination of 64QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 104, for example, to the r=8/16 type B code in FIG. 37, 64QAM, and the combination of 64QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 105, for example, to the r=10/16 type B code in FIG. 39, 64QAM, and the combination of 64QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 106, for example, to the r=12/16 type B code in FIG. 41, 64QAM, and the combination of 64QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 107, for example, to the r=14/16 type B code in FIG. 43, 64QAM, and the combination of 64QAM-UC in FIGS. can be achieved.

The GW pattern in FIG. 108 achieves a particularly good error rate, for example, by applying it to the combination of r=3/16 type A code, 64QAM in FIG. 31, and 64QAM-2D-NUC in FIG. can do.

The GW pattern in FIG. 109 achieves a particularly good error rate, for example, by applying it to the combination of r=5/16 type A code, 64QAM in FIG. 33, and 64QAM-2D-NUC in FIG. can do.

The GW pattern in FIG. 110 achieves a particularly good error rate, for example, by applying it to the combination of r=7/16 type B code, 64QAM in FIG. 36, and 64QAM-2D-NUC in FIG. can do.

By applying the GW pattern in FIG. 111, for example, to the combination of r=9/16 new type B code, 64QAM in FIG. 52, and 64QAM-2D-NUC in FIG. can be achieved.

The GW pattern in FIG. 112 achieves a particularly good error rate, for example, by applying it to the r=11/16 type B code in FIG. 40, 64QAM, and the combination of 64QAM-2D-NUC in FIG. can do.

The GW pattern in FIG. 113 achieves a particularly good error rate, for example, by applying it to the combination of r=13/16 type B code, 64QAM in FIG. 42, and 64QAM-2D-NUC in FIG. can do.

By applying the GW pattern in FIG. 114, for example, to the r=3/16 type A code in FIG. 31, 256QAM, and the combination of 256QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 115, for example, to the r=5/16 type A code in FIG. 33, 256QAM, and the combination of 256QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 116 to, for example, the r=7/16 type B code in FIG. 36, 256QAM, and the combination of 256QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 117, for example, to the new type B code of r=9/16 in FIG. 52, 256QAM, and the combination of 256QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 118, for example, to the r=11/16 type B code in FIG. 40, 256QAM, and the combination of 256QAM-UC in FIGS. can be achieved.

By applying the GW pattern in FIG. 119, for example, to the r=13/16 type B code in FIG. 42, 256QAM, and the combination of 256QAM-UC in FIGS. can be achieved.

The GW pattern of FIG. 120, for example, by applying it to the r=2/16 type A code of FIG. 30, 256QAM, and the combination of 256QAM-2D-NUC of FIGS. rate can be achieved.

The GW pattern in FIG. 121 is particularly good by applying it to the new type A code of r=4/16, 256QAM in FIG. 50, and the 256QAM-2D-NUC combination in FIGS. error rate can be achieved.

The GW pattern of FIG. 122, for example, by applying it to the r=6/16 type A code of FIG. 34, 256QAM, and the combination of 256QAM-2D-NUC of FIGS. rate can be achieved.

The GW pattern of FIG. 123 provides particularly good error rate can be achieved.

The GW pattern of FIG. 124, for example, by applying it to the r=10/16 Type B code of FIG. 39, 256QAM, and the combination of 256QAM-2D-NUC of FIGS. rate can be achieved.

The GW pattern of FIG. 125, for example, by applying it to the r=12/16 Type B code of FIG. rate can be achieved.

The GW pattern of FIG. 126 provides particularly good error rates by applying it to, for example, the r=14/16 type B code of FIG. 43, 256QAM, and the 256QAM-2D-NUC combination of FIGS. rate can be achieved.

<Configuration example of receiving device 12>

FIG. 127 is a block diagram showing a configuration example of the receiving device 12 of FIG.

An OFDM processing unit (OFDM operation) 151 receives an OFDM signal from the transmitting device 11 (FIG. 7) and performs signal processing on the OFDM signal. Data obtained by signal processing performed by the OFDM processing unit 151 is supplied to a frame management unit (Frame Management) 152 .

The frame management unit 152 performs processing (frame interpretation) on a frame composed of data supplied from the OFDM processing unit 151, and converts the resulting target data signal and control data signal to a frequency deinterleaver. (Frequency Deinterleaver) 161 and 153, respectively.

The frequency deinterleaver 153 frequency deinterleaves the data from the frame management unit 152 on a symbol-by-symbol basis and supplies the data to the demapper 154 .

The demapper 154 demaps the data (the data on the constellation) from the frequency deinterleaver 153 based on the signal point arrangement (constellation) determined by the quadrature modulation performed on the transmitter 11 side. decoding) and orthogonal demodulation, and the resulting data (LDPC code (likelihood of)) is supplied to an LDPC decoder 155 .

The LDPC decoder 155 (decoding unit) performs LDPC decoding of the LDPC code from the demapper 154 and supplies the resulting LDPC target data (here, BCH code) to the BCH decoder (BCH decoder) 156 .

The BCH decoder 156 performs BCH decoding on the LDPC target data from the LDPC decoder 155 and outputs control data (signaling) obtained as a result.

On the other hand, the frequency deinterleaver 161 performs frequency deinterleaving on a symbol-by-symbol basis for the data from the frame management unit 152 and supplies the data to the SISO/MISO decoder (SISO/MISO decoder) 162 .

The SISO/MISO decoder 162 performs space-time decoding on the data from the frequency deinterleaver 161 and supplies it to a time deinterleaver (Time Deinterleaver) 163 .

A time deinterleaver 163 time-deinterleaves the data from the SISO/MISO decoder 162 on a symbol-by-symbol basis and supplies it to a demapper 164 .

The demapper 164 demaps the data (the data on the constellation) from the time deinterleaver 163 based on the signal point arrangement (constellation) determined by the orthogonal modulation performed on the transmitter 11 side. decoding) and orthogonal demodulation, and the resulting data is supplied to a bit deinterleaver 165 .

The bit deinterleaver 165 bit deinterleaves the data from the demapper 164 and supplies the LDPC code (likelihood thereof), which is the data after the bit deinterleaving, to the LDPC decoder 166 .

The LDPC decoder 166 performs LDPC decoding of the LDPC code from the bit deinterleaver 165 and supplies the resulting LDPC target data (BCH code here) to the BCH decoder 167 .

The BCH decoder 167 performs BCH decoding of the LDPC target data from the LDPC decoder 155 and supplies the resulting data to a BB descrambler (BB DeScrambler) 168 .

The BB descrambler 168 applies BB descramble to the data from the BCH decoder 167 and supplies the resulting data to a null deletion unit (Null Deletion) 169 .

A null deletion unit 169 deletes the null inserted by the padder 112 in FIG.

The demultiplexer 170 separates one or more streams (target data) multiplexed on the data from the null removal unit 169, performs necessary processing, and outputs as an output stream.

Note that the receiving device 12 can be configured without some of the blocks shown in FIG. That is, for example, when the transmitting device 11 (FIG. 8) is configured without the time interleaver 118, the SISO/MISO encoder 119, the frequency interleaver 120, and the frequency interleaver 124, the receiving device 12 A time deinterleaver 163, a SISO/MISO decoder 162, and a frequency deinterleaver 161, which are blocks corresponding to the time interleaver 118, SISO/MISO encoder 119, frequency interleaver 120, and frequency interleaver 124 of the transmission device 11, respectively. , and can be configured without the frequency deinterleaver 153 .

<Configuration example of bit deinterleaver 165>

FIG. 128 is a block diagram showing a configuration example of the bit deinterleaver 165 of FIG.

The bit deinterleaver 165 is composed of a block deinterleaver 54 and a groupwise deinterleaver 55 and performs (bit) deinterleaving of the symbol bits of the symbols that are the data from the demapper 164 (FIG. 127).

That is, the block deinterleaver 54 performs block deinterleaving corresponding to the block interleaving performed by the block interleaver 25 in FIG. Block deinterleaving is performed to return the positions of (the likelihood of) the code bits of the LDPC code rearranged by interleaving to their original positions, and the resulting LDPC code is supplied to the groupwise deinterleaver 55 .

The group-wise deinterleaver 55 performs group-wise deinterleaving corresponding to the group-wise interleaving performed by the group-wise interleaver 24 in FIG. That is, for example, the code bits of the LDPC code whose arrangement has been changed in bit group units by the groupwise interleaving described with reference to FIG.

Here, when the LDPC code supplied from the demapper 164 to the bit deinterleaver 165 is subjected to parity interleaving, groupwise interleaving, and block interleaving, the bit deinterleaver 165 performs parity interleaving corresponding to the parity interleaving. De-interleaving (reverse processing of parity interleaving, i.e., parity de-interleaving to restore the code bits of the LDPC code reordered by parity interleaving), block de-interleaving corresponding to block interleaving, and group-wise interleaving can do all of the group-wise deinterleaving corresponding to .

However, in the bit deinterleaver 165 of FIG. 128, the block deinterleaver 54 that performs block deinterleaving corresponding to block interleaving and the groupwise deinterleaver 55 that performs groupwise deinterleaving corresponding to groupwise interleaving are However, no parity deinterleaving block corresponding to the parity interleaving is provided and no parity deinterleaving is performed.

Therefore, from the bit deinterleaver 165 (the groupwise deinterleaver 55 of) to the LDPC decoder 166, block deinterleaving and groupwise deinterleaving are performed, and parity deinterleaving is not performed LDPC code is supplied.

The LDPC decoder 166 performs LDPC decoding of the LDPC code from the bit deinterleaver 165 with respect to the parity check matrix H of the type B scheme used for the LDPC encoding by the LDPC encoder 115 in FIG. and the transformation check matrix (Fig. 29) obtained by performing row permutation on the type A check matrix (Fig. 27). Output as the result of data decoding.

FIG. 129 is a flow chart illustrating the processing performed by the demapper 164, bit deinterleaver 165, and LDPC decoder 166 of FIG.

In step S111, the demapper 164 demaps the data from the time deinterleaver 163 (the data on the constellation mapped to the signal points), orthogonally demodulates it, and supplies it to the bit deinterleaver 165. , the process proceeds to step S112.

In step S112, the bit deinterleaver 165 deinterleaves (bit deinterleaves) the data from the demapper 164, and the process proceeds to step S113.

That is, in step S112, in the bit deinterleaver 165, the block deinterleaver 54 performs block deinterleaving on the data (symbols) from the demapper 164, and divides the code bits of the resulting LDPC code into groups. It is supplied to the wise deinterleaver 55 .

The group-wise deinterleaver 55 performs group-wise deinterleaving on the LDPC code from the block deinterleaver 54 and supplies the resulting LDPC code (likelihood thereof) to the LDPC decoder 166 .

In step S113, the LDPC decoder 166 performs LDPC decoding of the LDPC code from the groupwise deinterleaver 55 based on the parity check matrix H used for the LDPC encoding by the LDPC encoder 115 in FIG. Based on the transform parity check matrix obtained from the matrix H, the data obtained as a result is output to the BCH decoder 167 as the decoding result of the LDPC target data.

Also in FIG. 128, as in the case of FIG. 9, for convenience of explanation, the block deinterleaver 54 that performs block deinterleaving and the groupwise deinterleaver 55 that performs groupwise deinterleaving are configured separately. However, the block deinterleaver 54 and the groupwise deinterleaver 55 can be configured integrally.

Also, if the transmitting device 11 does not perform group-wise interleaving, the receiving device 12 can be configured without the group-wise deinterleaver 55 that performs group-wise deinterleaving.

<LDPC decoding>

The LDPC decoding performed by the LDPC decoder 166 in FIG. 127 will be further described.

In the LDPC decoder 166 of FIG. 127, as described above, block deinterleaving and groupwise deinterleaving from the groupwise deinterleaver 55 are performed, and parity deinterleaving is not performed LDPC of the LDPC code For decoding, the parity check matrix H of the type B scheme used for LDPC encoding by the LDPC encoder 115 in FIG. This is performed using a transformation check matrix (FIG. 29) obtained by performing row permutation on the matrix (FIG. 27).

Here, LDPC decoding has been previously proposed, in which it is possible to suppress the operating frequency within a sufficiently feasible range while suppressing the circuit scale by performing LDPC decoding using a transform parity check matrix (for example, , see Patent No. 4224777).

Therefore, first, the previously proposed LDPC decoding using a transform parity check matrix will be described with reference to FIGS. 130 to 133. FIG.

FIG. 130 is a diagram showing an example parity check matrix H of an LDPC code with a code length N of 90 and a coding rate of 2/3.

In addition, in FIG. 130 (also in FIGS. 131 and 132 described later), 0 is represented by a period (.).

In parity check matrix H in FIG. 130, the parity matrix has a staircase structure.

FIG. 131 is a diagram showing parity check matrix H′ obtained by performing row permutation of equation (11) and column permutation of equation (12) on parity check matrix H of FIG.

Line replacement: Line 6s+t+1 → Line 5t+s+1
(11)

Column permutation: 6x+y+61st column → 5y+x+61st column
(12)

However, in formulas (11) and (12), s, t, x, and y are integers in the range of 0 ≤ s < 5, 0 ≤ t < 6, 0 ≤ x < 5, 0 ≤ t < 6, respectively is.

According to the row permutation of equation (11), the 1st, 7th, 13th, 19th, and 25th rows, which are divided by 6 and have a remainder of 1, are the 1st, 2nd, 3rd, 4th, and 5th rows, respectively. The 2nd, 8th, 14th, 20th and 26th rows, which have a remainder of 2 when divided, are replaced with the 6th, 7th, 8th, 9th and 10th rows, respectively.

Further, according to the column permutation of equation (12), the 61st, 67th, 73rd, 79th, and 85th columns that have a remainder of 1 when divided by 6 are replaced by 61 , the 62nd, 63rd, 64th and 65th columns, and the 62nd, 68th, 74th, 80th and 86th columns that are divided by 6 with a remainder of 2 are the 66th, 67th, 68th, 69th and 70th columns respectively. Substitutions are made accordingly.

In this way, a matrix obtained by permuting the rows and columns of the parity check matrix H in FIG. 130 is the parity check matrix H' in FIG.

Here, even if the row permutation of the parity check matrix H is performed, the alignment of the code bits of the LDPC code is not affected.

In addition, the column permutation of equation (12) is the information length K is 60, the parallel factor P is 5, and the divisor q (=M/P) of the parity length M (here, 30) is 6, respectively.

Therefore, the parity check matrix H' in FIG. is a transformed parity check matrix obtained by performing at least column permutation to replace the columns of .

131 is multiplied by the LDPC code of the original parity check matrix H of FIG. 130 that has undergone the same permutation as in Equation (12), a 0 vector is output. That is, if the row vector c obtained by performing the column permutation of equation (12) on the row vector c as the LDPC code (one codeword) of the original check matrix H is denoted by c′, then from the properties of the check matrix , Hc ^T are 0 vectors, so naturally H'c' ^T is also 0 vectors.

131 is the parity check matrix of the LDPC code c' obtained by performing the column permutation of Equation (12) on the LDPC code c of the original parity check matrix H. FIG.

Therefore, the LDPC code c of the original parity check matrix H is subjected to the column permutation of Equation (12), and the LDPC code c' after the column permutation is decoded using the transform parity check matrix H' of FIG. 131 (LDPC decoding). Then, by performing the inverse permutation of the column permutation of Equation (12) on the decoding result, the same decoding result as when the LDPC code of the original parity check matrix H is decoded using the parity check matrix H can be obtained. can be done.

FIG. 132 is a diagram showing the transform parity check matrix H′ of FIG. 131 spaced in units of 5×5 matrices.

In FIG. 132, the transformation parity check matrix H′ is a 5×5 (=P×P) identity matrix that is the parallel factor P, and a matrix in which one or more of the 1s of the identity matrix are 0 (hereinafter referred to as appropriate , quasi-identity matrix), a matrix obtained by cyclically shifting the identity matrix or quasi-identity matrix (hereinafter referred to as a shift matrix as appropriate), the sum of two or more of the identity matrix, the quasi-identity matrix, or the shift matrix (hereinafter referred to as a sum matrix as appropriate), which is represented by a combination of 5×5 0 matrices.

It can be said that the transformation parity check matrix H′ in FIG. 132 is composed of a 5×5 identity matrix, a quasi-identity matrix, a shift matrix, a sum matrix, and a 0 matrix. Therefore, these 5×5 matrices (identity matrix, quasi-identity matrix, shift matrix, sum matrix, zero matrix) that constitute the transform check matrix H′ are hereinafter referred to as constituent matrices as appropriate.

An architecture that simultaneously performs P check node operations and P variable node operations can be used for decoding an LDPC code of a parity check matrix represented by a P×P constituent matrix.

FIG. 133 is a block diagram showing a configuration example of a decoding device that performs such decoding.

That is, FIG. 133 decodes the LDPC code using at least the transform parity check matrix H′ of FIG. 1 shows a configuration example of a decoding device.

133 includes a branch data storage memory 300 consisting of six FIFOs 300 ₁ to 300 ₆ , a selector 301 for selecting FIFOs 300 ₁ to 300 ₆ , a check node calculator 302, two cyclic shift circuits 303 and 308, Branch data storage memory 304 consisting of 18 FIFOs 304 ₁ to 304 ₁₈ , selector 305 for selecting FIFOs 304 ₁ to 304 ₁₈ , received data memory 306 for storing received data, variable node calculator 307 , decoded word calculator 309 , a received data rearranging section 310 and a decoded data rearranging section 311 .

First, a method of storing data in the branch data storage memories 300 and 304 will be described.

The edge data storage memory 300 is composed of six FIFOs 300 1 to _{300 6} obtained by dividing the number of rows of 30 in the transform parity check matrix H′ of FIG. 132 by the number of rows of the component matrix (parallel factor P) of 5. . The FIFO 300 _y (y=1, 2, . . . , 6) consists of a plurality of storage areas with a number of stages, and each storage area has 5 rows and columns (parallel factor P) of the constituent matrix. Messages corresponding to one branch can be read and written at the same time. Also, the number of stages of the storage area of the FIFO 300 _y is 9, which is the maximum number of 1's (Hamming weight) in the row direction of the transformation parity check matrix in FIG.

In the FIFO 300 ₁ , data (messages v _i from variable nodes) corresponding to positions of 1 in the first to fifth rows of the conversion parity check matrix H′ in FIG. 132 are packed horizontally in each row. stored in the form (ignoring 0). That is, if the j-th row and i-th column are expressed as (j, i), the memory area of the first stage of the FIFO 300 ₁ stores (1, 1) to (5, 5) of the transform parity check matrix H'. The data corresponding to the position of 1 in the 5×5 unit matrix of is stored. A shift matrix from (1,21) to (5,25) of the transform parity matrix H' (a shift matrix obtained by cyclically shifting a 5×5 unit matrix by three cyclic shifts to the right) is stored in the second storage area. The data corresponding to the position of 1 in is stored. Similarly, data is stored in the third to eighth storage areas in association with the conversion parity check matrix H'. Then, the shift matrix from (1,86) to (5,90) of the transformation check matrix H' (1 in the first row of the 5×5 identity matrix is replaced with 0) is stored in the storage area of the ninth stage. Data corresponding to the position of 1 in the shift matrix obtained by cyclically shifting the shift matrix to the left by one is stored.

The FIFO 300 ₂ stores data corresponding to the position of 1 from the 6th row to the 10th row of the conversion parity check matrix H' in FIG. That is, in the storage area of the first stage of the FIFO 300 ₂ , the sum matrix of (6, 1) to (10, 5) of the transform parity check matrix H' (a 5×5 identity matrix is cyclically shifted to the right by one The data corresponding to the position of 1 in the first shift matrix constituting the sum matrix (which is the sum of the first shift matrix obtained by shifting the first shift matrix and the second shift matrix obtained by cyclically shifting two to the right) is stored. Further, in the storage area of the second stage, data corresponding to the position of 1 of the second shift matrix forming the sum matrix of (6, 1) to (10, 5) of the transformation parity check matrix H' is stored. be.

That is, for a component matrix with a weight of 2 or more, the component matrix is a P×P identity matrix with a weight of 1, a quasi-identity matrix in which one or more of the 1 elements of the identity matrix are 0, or Data corresponding to the position of 1 in the identity matrix, quasi-identity matrix, or shift matrix whose weight is 1 when the identity matrix or quasi-identity matrix is expressed in the form of the sum of multiple shift matrices obtained by cyclically shifting the identity matrix or quasi-identity matrix. (messages corresponding to branches belonging to the identity matrix, quasi-identity matrix, or shift matrix) are stored in the same address (the same FIFO among FIFOs 300 ₁ to 300 ₆ ).

Data are stored in the third to ninth storage areas in association with the transformation parity check matrix H'.

The FIFOs 300 ₃ to 300 ₆ also store data in association with the conversion parity check matrix H'.

The branch data storage memory 304 is composed of 18 FIFOs 304 ₁ to 304 ₁₈ obtained by dividing the 90 columns of the transform parity check matrix H' by 5, which is the number of columns of the component matrix (parallel factor P). The FIFO 304 _x (x=1, 2, . . . , 18) consists of a plurality of stages of storage areas. Messages corresponding to one branch can be read and written at the same time.

In the FIFO 304 ₁ , data (message u _j from the check node) corresponding to the positions of 1 in the first to fifth columns of the conversion parity check matrix H′ of FIG. 132 are packed vertically in each column. stored in the same format (ignoring 0). That is, the first storage area of the FIFO 304 ₁ stores the data corresponding to the position of 1 in the 5×5 identity matrix from (1,1) to (5,5) of the transformation parity check matrix H′. . In the storage area of the second stage, the sum matrix of (6,1) to (10,5) of the transformation check matrix H' (the first shift obtained by cyclically shifting the 5×5 identity matrix by one The data corresponding to the position of 1 in the first shift matrix constituting the sum matrix, which is the sum of the matrix and the second shift matrix cyclically shifted by two to the right, is stored. Further, the storage area of the third stage stores data corresponding to the position of 1 in the second shift matrix forming the sum matrix of (6, 1) to (10, 5) of the transform parity check matrix H'. be.

That is, for a component matrix with a weight of 2 or more, the component matrix is a P×P identity matrix with a weight of 1, a quasi-identity matrix in which one or more of the 1 elements of the identity matrix are 0, or Data corresponding to the position of 1 in the identity matrix, quasi-identity matrix, or shift matrix whose weight is 1 when the identity matrix or quasi-identity matrix is expressed in the form of the sum of multiple shift matrices obtained by cyclically shifting the identity matrix or quasi-identity matrix. (messages corresponding to branches belonging to the identity matrix, quasi-identity matrix, or shift matrix) are stored in the same address (the same FIFO among FIFOs 304 ₁ to 304 ₁₈ ).

Data are stored in the fourth and fifth storage areas in association with the transformation parity check matrix H'. The number of stages of the storage area of this FIFO 304 ₁ is 5, which is the maximum number of 1's (Hamming weights) in the row direction in the first to fifth columns of the transformation parity check matrix H'.

The FIFOs 304 ₂ and 304 ₃ also store data in association with the conversion parity check matrix H′, and each has a length (number of stages) of five. Similarly, the FIFOs 304 ₄ to 304 ₁₂ store data in association with the conversion parity check matrix H', each having a length of three. Similarly, the FIFOs 304 ₁₃ to 304 ₁₈ store data in association with the transform parity check matrix H', each having a length of two.

Next, the operation of the decoding device in FIG. 133 will be described.

The branch data storage memory 300 consists of six FIFOs 300 ₁ to 300 ₆ , and indicates to which row of the transform parity check matrix H′ in FIG. 132 the five messages D311 supplied from the preceding cyclic shift circuit 308 belong. According to information (matrix data) D312, a FIFO for storing data is selected from among FIFOs ₃₀₀₁ to ₃₀₀₆ , and five messages D311 are collectively stored in the selected FIFO in order. When reading data, the branch data storage memory 300 sequentially reads five messages _D3001 from the FIFO ₃₀₀₁ and supplies them to the selector 301 in the next stage. After reading the messages from the FIFO 300 ₁ , the branch data storage memory 300 sequentially reads the messages from the FIFOs 300 ₂ to 300 ₆ and supplies them to the selector 301 .

The selector 301 selects five messages from the FIFOs from which data is currently being read out of the FIFOs 300 ₁ to 300 ₆ according to the select signal D301, and supplies them to the check node calculator 302 as messages D302.

The check node calculator 302 consists of five check node calculators 302 ₁ to 302 ₅ , and uses messages D302 (D302 ₁ to D302 ₅ ) (messages v _i in equation (7)) supplied through the selector 301 to A check node operation is performed according to equation (7), and five messages D303 (D303 ₁ to D303 ₅ ) obtained as a result of the check node operation (messages u _j in equation (7)) are supplied to the cyclic shift circuit 303 .

The cyclic shift circuit 303 shifts the five messages D303 ₁ through D303 ₅ obtained by the check node calculation unit 302 by the number of unit matrices (or quasi-unit matrices) whose corresponding branches are the originals in the transform parity check matrix H′. Based on the information (matrix data) D305 as to whether it has been click-shifted, cyclic shift is performed, and the result is supplied to the branch data storage memory 304 as a message D304.

The branch data storage memory 304 consists of 18 FIFOs 304 ₁ to 304 ₁₈ , and according to the information D 305 to which row of the conversion check matrix H′ the five messages D 304 supplied from the preceding cyclic shift circuit 303 belong. , a FIFO for storing data is selected from FIFOs 304 ₁ to 304 ₁₈ , and five messages D304 are collectively stored in the selected FIFO in order. When reading data, the branch data storage memory 304 sequentially reads five messages _D3061 from the FIFO ₃₀₄₁ and supplies them to the selector 305 in the next stage. After reading data from the FIFO 304 ₁ , the branch data storage memory 304 sequentially reads messages from the FIFOs 304 ₂ to 304 ₁₈ and supplies them to the selector 305 .

The selector 305 selects five messages from the FIFOs from which data is currently being read out of the FIFOs 304 ₁ to 304 ₁₈ according to the select signal D307, and outputs them as messages D308 from the variable node calculator 307 and the decoded word calculator. 309.

On the other hand, received data rearrangement section 310 rearranges LDPC code D313 corresponding to parity check matrix H in FIG. It is supplied to the received data memory 306 . Received data memory 306 calculates and stores received LLRs (logarithmic likelihood ratios) from received data D314 supplied from received data rearrangement section 310, and collects the received LLRs by five as received value D309. , to the variable node calculator 307 and the decoded word calculator 309 .

The variable node calculator 307 consists of five variable node calculators 307 ₁ to 307 ₅ , and receives messages D308 (D308 ₁ to D308 ₅ ) (messages u _j in equation (1)) supplied through the selector 305 and received data Using the five received values D309 (received value u _0i of equation (1)) supplied from memory 306 for variable node calculation according to equation (1), messages D310 (D310 ₁ to D310 ₅ ) (message v _i in equation (1)) to the cyclic shift circuit 308 .

The cyclic shift circuit 308 cyclically shifts the messages D310 ₁ to D310 ₅ calculated by the variable node calculation unit 307 by the number of identity matrices (or quasi-identity matrices) whose corresponding branches are the originals in the transform parity check matrix H′. Based on the information as to whether or not the data has been cyclically shifted, the result is supplied to the branch data storage memory 300 as a message D311.

One cycle of decoding (variable node operation and check node operation) of the LDPC code can be performed by repeating the above operations. After decoding the LDPC code a predetermined number of times, the decoding device in FIG. 133 obtains and outputs the final decoding result in decoded word calculation section 309 and decoded data rearrangement section 311 .

That is, the decoded word calculator 309 is composed of five decoded word calculators 309 ₁ to 309 ₅ , and five messages D308 (D308 ₁ to D308 ₅ ) output by the selector 305 (message u _j in equation (5)) and , using the five received values D309 (received values u _0i in equation (5)) supplied from the received data memory 306, and as the final stage of decoding multiple times, based on equation (5), the decoding result (decoding word), and the resulting decoded data D315 is supplied to the decoded data rearrangement unit 311.

The decoded data rearrangement unit 311 performs inverse permutation of the column permutation of equation (12) on the decoded data D315 supplied from the decoded word calculation unit 309, thereby rearranging the order, and the final decoding result Output as D316.

As described above, one or both of row permutation and column permutation are applied to the parity check matrix (original parity check matrix), and one or more of the 1s of the P × P unit matrix and its elements are changed to 0. A quasi-identity matrix, a shift matrix obtained by cyclically shifting an identity matrix or a quasi-identity matrix, a sum matrix that is the sum of multiple identity matrices, quasi-identity matrices, or shift matrices, a combination of P×P zero matrices, that is, By converting to a parity check matrix (transformation parity check matrix) that can be represented by a combination of component matrices, decoding of LDPC codes can be performed by performing check node operation and variable node operation with P It is possible to adopt an architecture in which they are performed simultaneously. When adopting an architecture that simultaneously performs P node operations (check node operations and variable node operations), the number of which is smaller than the number of rows and columns of the parity check matrix, the number of node operations equal to the number of rows and columns of the parity check matrix is used. As compared with the case of simultaneously performing multiple iterations, a large number of iterative decoding operations can be performed while keeping the operating frequency within a feasible range.

The LDPC decoder 166 forming the receiving device 12 in FIG. 127 performs LDPC decoding by performing P check node calculations and P variable node calculations at the same time, for example, like the decoding device in FIG.

That is, to simplify the explanation, the parity matrix of the LDPC code output by the LDPC encoder 115 constituting the transmitting device 11 of FIG. parity interleaver 23 of the transmitting device 11 performs parity interleaving for interleaving the K+qx+y+1-th code bit into the position of the K+Py+x+1-th code bit. is performed by setting the information length K to 60, the parallel factor P to 5, and the divisor q (=M/P) of the parity length M to 6, respectively.

Since this parity interleaving corresponds to the column permutation of equation (12) as described above, the LDPC decoder 166 does not need to perform the column permutation of equation (12).

Therefore, in the receiving device 12 of FIG. 127, as described above, the groupwise deinterleaver 55 sends the LDPC code for which parity deinterleaving is not performed to the LDPC decoder 166, that is, the sequence of equation (12). A permuted LDPC code is supplied, and the LDPC decoder 166 performs the same processing as the decoding device in FIG. 133, except that the column permutation of equation (12) is not performed.

134 is a diagram showing a configuration example of the LDPC decoder 166 of FIG. 127. In FIG.

134, the LDPC decoder 166 is configured in the same manner as the decoding device in FIG. 133 except that the reception data rearrangement section 310 in FIG. Since the same processing as that of the decoding device in FIG. 133 is performed except that the processing is not performed, the description thereof will be omitted.

As described above, the LDPC decoder 166 can be configured without the reception data rearrangement section 310, so that the scale can be reduced more than the decoding apparatus in FIG.

130 to 134, in order to simplify the explanation, the code length N of the LDPC code is 90, the information length K is 60, and the parallel factor (the number of rows and columns of the constituent matrix) P is 5. , the divisor q (=M/P) of the parity length M is 6, respectively, but the code length N, the information length K, the parallel factor P, and the divisor q (=M/P) are respectively It is not limited to values.

That is, in the transmitting device 11 of FIG. 8, the LDPC encoder 115 outputs, for example, the code length N of 64800, 16200, 69120, 17280, etc., and the information length K of N-Pq (=N-M), parallel The LDPC code has a factor P of 360 and a divisor q of M/P. The LDPC decoder 166 in FIG. By performing them at the same time, they can be applied when performing LDPC decoding.

Further, after the LDPC code is decoded by the LDPC decoder 166, the parity part of the decoding result is unnecessary, and only the information bits of the decoding result are output. can be configured.

<Configuration example of block deinterleaver 54>

FIG. 135 is a diagram for explaining block deinterleaving performed by block deinterleaver 54 in FIG.

In the block deinterleaving, the sequence of the code bits of the LDPC code is restored (restored) to the original sequence by performing the processing opposite to the block interleaving of the block interleaver 25 described with reference to FIG. 79 .

That is, in block deinterleaving, for example, similarly to block interleaving, the LDPC code is written to and read from m columns equal to the number of bits of the symbol m, so that the code bit sequence of the LDPC code is restored to the original sequence. returned.

However, in block deinterleaving, LDPC codes are written in the order in which LDPC codes are read out in block interleaving. Furthermore, in block deinterleaving, reading of LDPC codes is performed in the order in which the LDPC codes are written in block interleaving.

That is, as for the part 1 of the LDPC code, as shown in FIG. 135, the part 1 of the LDPC code in m-bit symbol units is written in the row direction from the first row of all m columns. That is, the code bit of the LDPC code, which is an m-bit symbol, is written in the row direction.

Writing part 1 in units of m bits is performed sequentially toward the row below m columns, and when writing part 1 is completed, as shown in FIG. , reading part 1 downwards from left to right in columns.

When reading up to the rightmost column is completed, as shown in FIG. 135 , returning to the leftmost column and reading part 1 downward from the top of the second column unit of the column is performed from left to right. Then, part 1 of the LDPC code of one codeword is read in the same manner.

When part 1 of the 1-codeword LDPC code is read out, the m-bit symbol unit of part 2, which is in the m-bit symbol unit, is sequentially concatenated after part 1, whereby the symbol unit is returned to the code bit array of the original 1-codeword LDPC code (the LDCP code before block interleaving).

<Another configuration example of the bit deinterleaver 165>

FIG. 136 is a block diagram showing another configuration example of the bit deinterleaver 165 of FIG.

In the figure, the parts corresponding to those in FIG. 128 are denoted by the same reference numerals, and the description thereof will be omitted as appropriate.

That is, the bit deinterleaver 165 in FIG. 136 has the same configuration as in FIG. 128 except that the parity deinterleaver 1011 is newly provided.

136, the bit deinterleaver 165 is composed of a block deinterleaver 54, a groupwise deinterleaver 55, and a parity deinterleaver 1011, and performs bit deinterleaving of the code bits of the LDPC code from the demapper 164. .

That is, the block deinterleaver 54 performs block deinterleaving corresponding to the block interleaving performed by the block interleaver 25 of the transmitting device 11 (reverse processing of block interleaving) for the LDPC code from the demapper 164, that is, block interleaving block deinterleaving is performed to return the positions of the code bits replaced by .

The groupwise deinterleaver 55 performs groupwise deinterleaving corresponding to the groupwise interleaving as the rearrangement processing performed by the groupwise interleaver 24 of the transmission device 11 on the LDPC code from the block deinterleaver 54 .

The LDPC code obtained as a result of groupwise deinterleaving is supplied from groupwise deinterleaver 55 to parity deinterleaver 1011 .

The parity deinterleaver 1011 performs parity deinterleaving corresponding to the parity interleaving performed by the parity interleaver 23 of the transmitting device 11 (the reverse of parity interleaving) on code bits after groupwise deinterleaving by the groupwise deinterleaver 55. processing), that is, parity deinterleaving is performed to return the code bits of the LDPC code whose order has been changed by parity interleaving to the original order.

An LDPC code obtained as a result of parity deinterleaving is supplied from parity deinterleaver 1011 to LDPC decoder 166 .

Therefore, in the bit deinterleaver 165 of FIG. 136, the LDPC decoder 166 includes block deinterleaving, groupwise deinterleaving, and parity deinterleaving LDPC code, that is, LDPC encoding according to parity check matrix H provides an LDPC code obtained by

The LDPC decoder 166 performs LDPC decoding of the LDPC code from the bit deinterleaver 165 using the parity check matrix H used for the LDPC encoding by the LDPC encoder 115 of the transmitting device 11 .

That is, for the type B scheme, the LDPC decoder 166 performs LDPC decoding of the LDPC code from the bit deinterleaver 165, and the parity check matrix H (of the type B scheme) used by the LDPC encoder 115 of the transmitting device 11 for LDPC encoding. This is performed using the parity check matrix itself, or using a transformed parity check matrix obtained by at least performing column permutation corresponding to parity interleaving on the parity check matrix H. In addition, for the type A scheme, the LDPC decoder 166 performs LDPC decoding of the LDPC code from the bit deinterleaver 165, and the parity check matrix (type A scheme) used by the LDPC encoder 115 of the transmitting device 11 for LDPC encoding ( FIG. 27) using a parity check matrix (FIG. 28) obtained by performing column permutation, or a transform parity check matrix (FIG. 29) obtained by performing row permutation on the parity check matrix (FIG. 27) used for LDPC coding conduct.

Here, in FIG. 136 , an LDPC code obtained by LDPC encoding according to parity check matrix H is supplied from (parity deinterleaver 1011 of) bit deinterleaver 165 to LDPC decoder 166 . LDPC decoding of the code, parity check matrix H itself of the type B scheme used for LDPC encoding by the LDPC encoder 115 of the transmitting device 11, or the parity check matrix of the type A scheme used for LDPC encoding (FIG. 27) column permutation 28), the LDPC decoder 166 is, for example, a full serial decoder that sequentially computes messages (check node messages, variable node messages) node by node. It consists of a decoding device that performs LDPC decoding by a coding (full serial decoding) method and a decoding device that performs LDPC decoding by a full parallel decoding method that simultaneously (parallelly) performs message calculations for all nodes. be able to.

Further, in the LDPC decoder 166, the LDPC decoding of the LDPC code is performed at least by performing column permutation corresponding to parity interleaving for the parity check matrix H of the type B scheme used for the LDPC encoding by the LDPC encoder 115 of the transmitting device 11. In the case of using the obtained transform check matrix or the transform check matrix (FIG. 29) obtained by performing row permutation on the type A check matrix (FIG. 27) used for LDPC encoding, the LDPC decoder 166 is a decoding device with an architecture that simultaneously performs P check node operations and variable node operations (or a divisor of P other than 1), and is similar to column permutation (parity interleaving) for obtaining a transform parity check matrix By subjecting the LDPC code to column permutation, the decoding device (FIG. 133) having received data rearrangement section 310 that rearranges the code bits of the LDPC code can be configured.

For convenience of explanation, FIG. , are configured separately, but two or more of the block deinterleaver 54, the groupwise deinterleaver 55, and the parity deinterleaver 1011 are the parity interleaver 23, the groupwise interleaver 24, And, like the block interleaver 25, it can be constructed integrally.

<Configuration example of receiving system>

FIG. 137 is a block diagram showing a first configuration example of a reception system to which the reception device 12 is applicable.

In FIG. 137, the receiving system comprises an acquisition section 1101 , a transmission path decoding processing section 1102 and an information source decoding processing section 1103 .

Acquisition unit 1101 receives a signal including an LDPC code obtained by at least LDPC-encoding LDPC target data such as image data and audio data of a program, for example, digital terrestrial broadcasting, digital satellite broadcasting, CATV network, Internet, etc. is acquired via a transmission path (communication path) (not shown) such as a network of , and is supplied to the transmission path decoding processing unit 1102 .

Here, if the signal acquired by the acquiring unit 1101 is broadcast from a broadcasting station via a terrestrial wave, a satellite wave, a CATV (Cable Television) network, or the like, the acquiring unit 1101 may include a tuner, a It consists of STB (Set Top Box) etc. In addition, when the signal acquired by the acquisition unit 1101 is, for example, transmitted from a web server by multicast such as IPTV (Internet Protocol Television), the acquisition unit 1101 may use, for example, a NIC (Network Interface Card) or the like. network I/F (Interface).

The transmission path decoding processing unit 1102 corresponds to the receiving device 12 . Transmission path decoding processing section 1102 performs transmission path decoding processing including at least processing for correcting errors occurring in the transmission path on the signal acquired by acquisition section 1101 via the transmission path, and converts the resulting signal into It is supplied to the information source decoding processing unit 1103 .

That is, the signal acquired by the acquisition unit 1101 via the transmission path is a signal obtained by at least performing error correction coding for correcting errors occurring in the transmission path, and the transmission path decoding processing unit 1102 , such a signal is subjected to, for example, transmission line decoding processing such as error correction processing.

Here, error correction coding includes, for example, LDPC coding and BCH coding. Here, at least LDPC encoding is performed as error correction encoding.

Also, the channel decoding process may include demodulation of the modulated signal.

Information source decoding processing section 1103 performs information source decoding processing including at least processing for decompressing compressed information to original information on the signal subjected to transmission path decoding processing.

That is, the signal acquired by the acquisition unit 1101 via the transmission path may be subjected to compression encoding for compressing information in order to reduce the amount of data such as images and voices as information. In this case, information source decoding processing section 1103 performs information source decoding processing such as processing (decompression processing) for decompressing compressed information to original information on the signal subjected to transmission path decoding processing.

Note that if the signal acquired by the acquisition unit 1101 via the transmission line is not compression-encoded, the information source decoding processing unit 1103 does not perform processing for decompressing the compressed information to the original information. can't break

Here, as decompression processing, there is MPEG decoding, for example. Also, the transmission path decoding processing may include descrambling and the like in addition to decompression processing.

In the reception system configured as described above, in the acquisition unit 1101, for example, compression encoding such as MPEG encoding is applied to data such as images and audio, and furthermore, error correction encoding such as LDPC encoding is performed. The encoded signal is acquired via a transmission line and supplied to the transmission line decoding processing unit 1102 .

In transmission path decoding processing section 1102, the signal from acquisition section 1101 is subjected to, for example, the same processing as that performed by receiving apparatus 12 as transmission path decoding processing, and the signal obtained as a result is used as an information source. It is supplied to the decoding processing unit 1103 .

The information source decoding processing unit 1103 performs information source decoding processing such as MPEG decoding on the signal from the transmission path decoding processing unit 1102, and outputs an image or sound obtained as a result.

The reception system of FIG. 137 as described above can be applied to, for example, a television tuner for receiving television broadcasting as digital broadcasting.

Note that the acquisition unit 1101, the transmission path decoding processing unit 1102, and the information source decoding processing unit 1103 are each configured as one independent device (hardware (IC (Integrated Circuit), etc.) or software module). It is possible to

In addition, regarding the acquisition unit 1101, the transmission channel decoding processing unit 1102, and the information source decoding processing unit 1103, a set of the acquisition unit 1101 and the transmission channel decoding processing unit 1102, or a set of the transmission channel decoding processing unit 1102 and the information source decoding processing It is possible to configure the set of the section 1103, the acquisition section 1101, the transmission path decoding processing section 1102, and the information source decoding processing section 1103 as one independent device.

FIG. 138 is a block diagram showing a second configuration example of a reception system to which the reception device 12 can be applied.

In the figure, parts corresponding to those in FIG. 137 are denoted by the same reference numerals, and description thereof will be omitted as appropriate.

The reception system in FIG. 138 has an acquisition unit 1101, a transmission path decoding processing unit 1102, and an information source decoding processing unit 1103 in common with the case of FIG. 137, and an output unit 1111 is newly provided. 137 is different from the case of FIG.

The output unit 1111 is, for example, a display device for displaying images or a speaker for outputting audio, and outputs images, audio, etc. as signals output from the information source decoding processing unit 1103 . That is, the output unit 1111 displays images or outputs audio.

The reception system of FIG. 138 as described above can be applied to, for example, a TV (television receiver) for receiving television broadcasting as digital broadcasting, a radio receiver for receiving radio broadcasting, and the like.

Note that when the signal acquired by the acquisition unit 1101 is not compression-encoded, the signal output by the transmission path decoding processing unit 1102 is supplied to the output unit 1111 .

FIG. 139 is a block diagram showing a third configuration example of a reception system to which the reception device 12 can be applied.

In the figure, parts corresponding to those in FIG. 137 are denoted by the same reference numerals, and description thereof will be omitted as appropriate.

The reception system in FIG. 139 is common to the case in FIG. 137 in that it has an acquisition section 1101 and a transmission path decoding processing section 1102 .

However, the receiving system in FIG. 139 is different from the case in FIG. 137 in that the information source decoding processing section 1103 is not provided and the recording section 1121 is newly provided.

The recording unit 1121 records a signal (for example, a TS packet of MPEG TS) output by the transmission path decoding processing unit 1102 in a recording (storage) medium such as an optical disk, a hard disk (magnetic disk), or a flash memory. cause).

The reception system of FIG. 139 as described above can be applied to a recorder or the like for recording television broadcasting.

In FIG. 139, the receiving system is configured by providing an information source decoding processing unit 1103. In the information source decoding processing unit 1103, the signal after the information source decoding processing has been performed, that is, the image obtained by decoding and the Audio can be recorded by the recording unit 1121 .

<Computer Embodiment>

Next, the series of processes described above can be performed by either hardware or software. When a series of processes is performed by software, a program that constitutes the software is installed in a general-purpose computer or the like.

FIG. 140 shows a configuration example of an embodiment of a computer in which a program for executing the series of processes described above is installed.

The program can be recorded in advance in a hard disk 705 or ROM 703 as a recording medium built into the computer.

Alternatively, the program is temporarily or It can be permanently stored (recorded). Such a removable recording medium 711 can be provided as so-called package software.

In addition to installing the program on the computer from the removable recording medium 711 as described above, the program can be wirelessly transferred from the download site to the computer via an artificial satellite for digital satellite broadcasting, LAN (Local Area Network), The program can be transferred to a computer by wire via a network such as the Internet, and the computer can receive the transferred program in the communication section 708 and install it in the hard disk 705 incorporated therein.

The computer incorporates a CPU (Central Processing Unit) 702 . An input/output interface 710 is connected to the CPU 702 via a bus 701. A user operates an input unit 707 including a keyboard, a mouse, a microphone, etc. via the input/output interface 710 to the CPU 702. When a command is input by equaling, a program stored in ROM (Read Only Memory) 703 is executed according to the command. Alternatively, the CPU 702 can receive a program stored in the hard disk 705, a program transferred from a satellite or a network, received by the communication unit 708 and installed in the hard disk 705, or a removable recording medium 711 attached to the drive 709. The program read out and installed in the hard disk 705 is loaded into a RAM (Random Access Memory) 704 and executed. As a result, the CPU 702 performs the processing according to the above-described flowchart or the processing performed by the configuration of the above-described block diagram. Then, the CPU 702 outputs the processing result from an output unit 706 configured by an LCD (Liquid Crystal Display), a speaker, etc., or from a communication unit 708 via an input/output interface 710, for example, as necessary. It is transmitted, and furthermore, it is recorded in the hard disk 705 or the like.

Here, in this specification, the processing steps describing a program for causing a computer to perform various processes do not necessarily have to be processed in chronological order according to the order described as a flowchart, and can be performed in parallel or individually. It also includes the processing that is performed (eg, parallel processing or processing by objects).

Moreover, the program may be processed by one computer, or may be processed by a plurality of computers in a distributed manner. Furthermore, the program may be transferred to a remote computer and executed.

The embodiments of the present technology are not limited to the above-described embodiments, and various modifications are possible without departing from the gist of the present technology.

For example, the new LDPC code (the parity check matrix initial value table) and GW pattern described above can be used for satellite lines, terrestrial waves, cables (wired lines), and other communication channels 13 (FIG. 7). Furthermore, the new LDPC code and GW pattern can also be used for data transmission other than digital broadcasting.

Further, in this specification, in order to make the description easier to understand, the LDPC encoder 115 (FIG. 8) performs encoding to the LDPC code based on the parity check matrix, but the parity check matrix and the parity check matrix initial value A table is equivalent information, and encoding into an LDPC code based on a parity check matrix includes encoding into an LDPC code based on a parity check matrix initial value table. Similarly, in the LDPC decoder 166 (FIG. 127), decoding the LDPC code based on the parity check matrix includes decoding the LDPC code based on the parity check matrix initial value table.

Note that the effects described in this specification are merely examples and are not limited, and other effects may be provided.

11 transmitter, 12 receiver, 23 parity interleaver, 24 group-wise interleaver, 25 block interleaver, 54 block de-interleaver, 55 group-wise de-interleaver, 111 mode adaptation/multiplexer, 112 padder, 113 BB scrambler , 114 BCH encoder, 115 LDPC encoder, 116 bit interleaver, 117 mapper, 118 time interleaver, 119 SISO/MISO encoder, 120 frequency interleaver, 121 BCH encoder, 122 LDPC encoder, 123 mapper, 124 frequency interleaver, 131 Frame builder/resource allocation unit 132 OFDM generation unit 151 OFDM processing unit 152 Frame management unit 153 Frequency deinterleaver 154 Demapper 155 LDPC decoder 156 BCH decoder 161 Frequency deinterleaver 162 SISO/MISO decoder 163 time deinterleaver, 164 demapper, 165 bit deinterleaver, 166 LDPC decoder, 167 BCH decoder, 168 BB descrambler, 169 null removal unit, 170 demultiplexer, 300 branch data storage memory, 301 selector, 302 check node Calculation unit 303 Cyclic shift circuit 304 Branch data storage memory 305 Selector 306 Receive data memory 307 Variable node calculation unit 308 Cyclic shift circuit 309 Decode word calculation unit 310 Receive data rearrangement unit 311 decoded data rearrangement unit, 601 encoding processing unit, 602 storage unit, 611 coding rate setting unit, 612 initial value table reading unit, 613 check matrix generation unit, 614 information bit reading unit, 615 encoding parity calculation unit, 616 control unit, 701 bus, 702 CPU, 703 ROM, 704 RAM, 705 hard disk, 706 output unit, 707 input unit, 708 communication unit, 709 drive, 710 input/output interface, 711, removable recording medium, 1001 reverse replacement unit, 1002 memory, 1011 parity deinterleaver, 1101 acquisition unit, 1101 transmission path decoding processing unit, 1103 information source decoding processing unit, 1111 output unit, 1121 recording unit

Claims (4)

An encoding step of performing LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 4/16;
A group-wise interleaving step of performing group-wise interleaving for interleaving the LDPC code in units of 360-bit bit groups;
A mapping step of mapping the LDPC code to one of 16 signal points of a 16QAM 2D-NUC (Non-Uniform Constellation) in units of 4 bits,
In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is defined as bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is defined as bit group
16 32 33 43 3 29 0 22 40 24 44 8 20 13 15 45 7 34 39 42 25 28 18 26 38 10 11 41 47 23 6 1 14 4 12 31 21 19 37 36 30 5 46 27 35 2 9 17
interleaved alongside
The check matrix is
A matrix at the upper left of the parity check matrix of M1 rows and K columns represented by a predetermined value M1 and the information length of the LDPC code K=N×r;
A B matrix with a staircase structure, which has M1 rows and M1 columns and is adjacent to the right of the A matrix;
A Z matrix that is a matrix of zeros adjacent to the right of the B matrix, with M1 rows and NK-M1 columns;
a C matrix adjacent below the A matrix and the B matrix, with NK-M1 rows and K+M1 columns;
and a D matrix that is an identity matrix adjacent to the right of the C matrix with NK-M1 rows and NK-M1 columns,
The predetermined value M1 is 1080,
The A matrix and C matrix are represented by a check matrix initial value table,
The parity check matrix initial value table is a table representing the positions of 1 elements in the A matrix and the C matrix for every 360 columns,
159 211 356 1078 1219 1447 1562 2945 4040 4307 7300 11950 12663
163 385 518 669 2137 3537 3738 7393 7668 9235 10263 12293 12959
413 477 747 974 1995 3998 4078 4848 5642 8968 10356 10596 11451
450 538 767 1245 1354 1957 3497 5179 8925 9959 11385 11844
370 381 884 1627 2289 3654 4510 4949 5307 7959 8789 10552
9 146 1045 2160 3696 6477 6509 7297 9854 10704 12493 12533
110 136 327 4780 4841 5818 6642 7015 7594 8053 8882 9916
771 806 928 1281 2049 3065 4006 6536 6818 8041 8548 9357
256 506 939 1176 3954 4207 5143 7352 7620 8473 8534 11045
459 470 916 2393 3302 3371 3572 4732 5492 10845 12327 12767
270 302 754 1105 1430 1916 3788
144 706 1013 7424 7893 9436 10402
1899 3105 11835 12241
1400 7777 10094 10848
8098 10061 10435 12570
is the transmission method. An encoding step of performing LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 4/16;
A group-wise interleaving step of performing group-wise interleaving for interleaving the LDPC code in units of 360-bit bit groups;
A mapping step of mapping the LDPC code to one of 16 signal points of a 16QAM 2D-NUC (Non-Uniform Constellation) in units of 4 bits,
In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is defined as bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is defined as bit group
16 32 33 43 3 29 0 22 40 24 44 8 20 13 15 45 7 34 39 42 25 28 18 26 38 10 11 41 47 23 6 1 14 4 12 31 21 19 37 36 30 5 46 27 35 2 9 17
interleaved alongside
The check matrix is
A matrix at the upper left of the parity check matrix of M1 rows and K columns represented by a predetermined value M1 and the information length of the LDPC code K=N×r;
A B matrix with a staircase structure, which has M1 rows and M1 columns and is adjacent to the right of the A matrix;
A Z matrix that is a matrix of zeros adjacent to the right of the B matrix, with M1 rows and NK-M1 columns;
a C matrix adjacent below the A matrix and the B matrix, with NK-M1 rows and K+M1 columns;
and a D matrix that is an identity matrix adjacent to the right of the C matrix with NK-M1 rows and NK-M1 columns,
The predetermined value M1 is 1080,
The A matrix and C matrix are represented by a check matrix initial value table,
The parity check matrix initial value table is a table representing the positions of 1 elements in the A matrix and the C matrix for every 360 columns,
159 211 356 1078 1219 1447 1562 2945 4040 4307 7300 11950 12663
163 385 518 669 2137 3537 3738 7393 7668 9235 10263 12293 12959
413 477 747 974 1995 3998 4078 4848 5642 8968 10356 10596 11451
450 538 767 1245 1354 1957 3497 5179 8925 9959 11385 11844
370 381 884 1627 2289 3654 4510 4949 5307 7959 8789 10552
9 146 1045 2160 3696 6477 6509 7297 9854 10704 12493 12533
110 136 327 4780 4841 5818 6642 7015 7594 8053 8882 9916
771 806 928 1281 2049 3065 4006 6536 6818 8041 8548 9357
256 506 939 1176 3954 4207 5143 7352 7620 8473 8534 11045
459 470 916 2393 3302 3371 3572 4732 5492 10845 12327 12767
270 302 754 1105 1430 1916 3788
144 706 1013 7424 7893 9436 10402
1899 3105 11835 12241
1400 7777 10094 10848
8098 10061 10435 12570
A receiving device comprising a decoding unit that decodes the LDPC code obtained from data transmitted by the transmission method. An encoding unit that performs LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 4/16;
A group-wise interleaving unit that performs group-wise interleaving for interleaving the LDPC code in units of 360-bit bit groups;
A mapping unit that maps the LDPC code to one of 16 signal points of 16QAM 2D-NUC (Non-Uniform Constellation) in units of 4 bits,
In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is defined as bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is defined as bit group
16 32 33 43 3 29 0 22 40 24 44 8 20 13 15 45 7 34 39 42 25 28 18 26 38 10 11 41 47 23 6 1 14 4 12 31 21 19 37 36 30 5 46 27 35 2 9 17
interleaved alongside
The check matrix is
A matrix at the upper left of the parity check matrix of M1 rows and K columns represented by a predetermined value M1 and the information length of the LDPC code K=N×r;
A B matrix with a staircase structure, which has M1 rows and M1 columns and is adjacent to the right of the A matrix;
A Z matrix that is a matrix of zeros adjacent to the right of the B matrix, with M1 rows and NK-M1 columns;
a C matrix adjacent below the A matrix and the B matrix, with NK-M1 rows and K+M1 columns;
and a D matrix that is an identity matrix adjacent to the right of the C matrix with NK-M1 rows and NK-M1 columns,
The predetermined value M1 is 1080,
The A matrix and C matrix are represented by a check matrix initial value table,
The parity check matrix initial value table is a table representing the positions of 1 elements in the A matrix and the C matrix for every 360 columns,
159 211 356 1078 1219 1447 1562 2945 4040 4307 7300 11950 12663
163 385 518 669 2137 3537 3738 7393 7668 9235 10263 12293 12959
413 477 747 974 1995 3998 4078 4848 5642 8968 10356 10596 11451
450 538 767 1245 1354 1957 3497 5179 8925 9959 11385 11844
370 381 884 1627 2289 3654 4510 4949 5307 7959 8789 10552
9 146 1045 2160 3696 6477 6509 7297 9854 10704 12493 12533
110 136 327 4780 4841 5818 6642 7015 7594 8053 8882 9916
771 806 928 1281 2049 3065 4006 6536 6818 8041 8548 9357
256 506 939 1176 3954 4207 5143 7352 7620 8473 8534 11045
459 470 916 2393 3302 3371 3572 4732 5492 10845 12327 12767
270 302 754 1105 1430 1916 3788
144 706 1013 7424 7893 9436 10402
1899 3105 11835 12241
1400 7777 10094 10848
8098 10061 10435 12570
is a transmitter. An encoding step of performing LDPC encoding based on an LDPC code parity check matrix having a code length N of 17280 bits and an encoding rate r of 4/16;
A group-wise interleaving step of performing group-wise interleaving for interleaving the LDPC code in units of 360-bit bit groups;
A mapping step of mapping the LDPC code to one of 16 signal points of a 16QAM 2D-NUC (Non-Uniform Constellation) in units of 4 bits,
In the group-wise interleaving, the i+1-th bit group from the beginning of the LDPC code is defined as bit group i, and the sequence of bit groups 0 to 47 of the 17280-bit LDPC code is defined as bit group
16 32 33 43 3 29 0 22 40 24 44 8 20 13 15 45 7 34 39 42 25 28 18 26 38 10 11 41 47 23 6 1 14 4 12 31 21 19 37 36 30 5 46 27 35 2 9 17
interleaved alongside
The check matrix is
A matrix at the upper left of the parity check matrix of M1 rows and K columns represented by a predetermined value M1 and the information length of the LDPC code K=N×r;
A B matrix with a staircase structure, which has M1 rows and M1 columns and is adjacent to the right of the A matrix;
A Z matrix that is a matrix of zeros adjacent to the right of the B matrix, with M1 rows and NK-M1 columns;
a C matrix adjacent below the A matrix and the B matrix, with NK-M1 rows and K+M1 columns;
and a D matrix that is an identity matrix adjacent to the right of the C matrix with NK-M1 rows and NK-M1 columns,
The predetermined value M1 is 1080,
The A matrix and C matrix are represented by a check matrix initial value table,
The parity check matrix initial value table is a table representing the positions of 1 elements in the A matrix and the C matrix for every 360 columns,
159 211 356 1078 1219 1447 1562 2945 4040 4307 7300 11950 12663
163 385 518 669 2137 3537 3738 7393 7668 9235 10263 12293 12959
413 477 747 974 1995 3998 4078 4848 5642 8968 10356 10596 11451
450 538 767 1245 1354 1957 3497 5179 8925 9959 11385 11844
370 381 884 1627 2289 3654 4510 4949 5307 7959 8789 10552
9 146 1045 2160 3696 6477 6509 7297 9854 10704 12493 12533
110 136 327 4780 4841 5818 6642 7015 7594 8053 8882 9916
771 806 928 1281 2049 3065 4006 6536 6818 8041 8548 9357
256 506 939 1176 3954 4207 5143 7352 7620 8473 8534 11045
459 470 916 2393 3302 3371 3572 4732 5492 10845 12327 12767
270 302 754 1105 1430 1916 3788
144 706 1013 7424 7893 9436 10402
1899 3105 11835 12241
1400 7777 10094 10848
8098 10061 10435 12570
A receiving method comprising a decoding step of decoding the LDPC code obtained from data transmitted by the transmitting method.

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