CN105450354A - LDPC codeword interleaving and mapping method and de-interleaving and de-mapping method - Google Patents

LDPC codeword interleaving and mapping method and de-interleaving and de-mapping method Download PDF

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Publication number
CN105450354A
CN105450354A CN201410439119.9A CN201410439119A CN105450354A CN 105450354 A CN105450354 A CN 105450354A CN 201410439119 A CN201410439119 A CN 201410439119A CN 105450354 A CN105450354 A CN 105450354A
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CN
China
Prior art keywords
bit
time
ldpc code
code word
value data
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Withdrawn
Application number
CN201410439119.9A
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Chinese (zh)
Inventor
张文军
史毅俊
徐胤
徐洪亮
何大治
郭序峰
赵杰
杨帆
尧勇仕
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Shanghai National Engineering Research Center of Digital Television Co Ltd
Original Assignee
Shanghai National Engineering Research Center of Digital Television Co Ltd
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Publication date
Application filed by Shanghai National Engineering Research Center of Digital Television Co Ltd filed Critical Shanghai National Engineering Research Center of Digital Television Co Ltd
Priority to CN201410439119.9A priority Critical patent/CN105450354A/en
Priority to CN201710409569.7A priority patent/CN107204830A/en
Publication of CN105450354A publication Critical patent/CN105450354A/en
Withdrawn legal-status Critical Current

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Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0071Use of interleaving
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0057Block codes
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0061Error detection codes
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/32Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/345Modifications of the signal space to allow the transmission of additional information
    • H04L27/3461Modifications of the signal space to allow the transmission of additional information in order to transmit a subchannel
    • H04L27/3483Modifications of the signal space to allow the transmission of additional information in order to transmit a subchannel using a modulation of the constellation points

Abstract

An LDPC codeword interleaving and mapping method and a de-interleaving and de-mapping method are disclosed. Included are the steps of bit-interleaving a parity portion in an LDPC codeword for the first time to obtain a parity bit stream; splicing an information bit portion in the LDPC codeword and the parity bit stream into an LDPC codeword bit-interleaved for the first time; dividing the LDPC codeword bit-interleaved for the first time into a plurality of successive bit sub-blocks according to a predetermined length, and changing the arrangement sequence of the bit sub-blocks in accordance with a corresponding bit exchange pattern to form an LDPC codeword bit-interleaved for the second time; writing the LDPC codeword bit-interleaved for the second time in accordance with a column sequence, and reading out in accordance with a row sequence to obtain an LDPC codeword bit-interleaved for the third time; and carrying out constellation mapping of the LDPC codeword bit-interleaved for the third time according to a constellation map to obtain a symbol stream. The interleaving and mapping method and the de-interleaving and de-mapping method are selected for different LDPC code tables so that the system performance can be better improved.

Description

The intertexture of LDPC code word and mapping method and deinterleaving de-mapping method
Technical field
The present invention relates to digital television techniques field, particularly a kind of intertexture of LDPC code word and mapping method and deinterleaving de-mapping method.
Background technology
In existing broadcast communication standard, LDPC coding, Bit Interleave and constellation mapping are code modulation modes the most common.In different emission systems, LDPC coding, Bit Interleave and constellation mapping all need independent design, and combined debugging, to obtain best channel performance.Therefore, how forming Bit Interleave targetedly for specific LDPC code word and constellation mapping mode, is a technical barrier of this area.
Summary of the invention
The problem that the present invention solves cannot form Bit Interleave targetedly for specific LDPC code word and constellation mapping mode in prior art.
For solving the problem, embodiments providing a kind of intertexture and mapping method of LDPC code word, comprising the steps: the check part in described LDPC code word to carry out first time Bit Interleave to obtain check bit stream; Information bit part in described LDPC code word and described check bit stream are spliced into the LDPC code word after first time Bit Interleave; LDPC code word after described first time Bit Interleave is divided into the multiple sub-blocks of bits of continuous print by predetermined length, and puts in order the LDPC code word after forming second time Bit Interleave according to sub-blocks of bits described in corresponding bit exchange pattern change; LDPC code word column major order write memory space after described second time Bit Interleave is also sequentially read the LDPC code word after obtaining third time Bit Interleave by row in this memory space; Constellation mapping is carried out to obtain symbol stream according to corresponding planisphere to the LDPC code word after described third time Bit Interleave.
The embodiment of the present invention additionally provides a kind of deinterleaving de-mapping method of LDPC code word, comprises the steps: to carry out soft demapping process to obtain bit soft value data to symbol stream soft value data according to corresponding planisphere; Wherein said symbol stream soft value data are the symbol stream that interlace map method that receiving terminal receives LDPC code word described above obtains; Described bit soft value data are sequentially written in memory space by row and column major order reads to obtain first time than the bit soft value data after deinterleave in this memory space; Described first time is divided into the multiple bit soft value data sub-block of continuous print than the bit soft value data after deinterleave by predetermined length, and according to bit soft value data sub-block described in corresponding bit exchange pattern change put in order form second time than the bit soft value data after deinterleave; Described second time is carried out third time than deinterleave to obtain third time than the bit soft value data after deinterleave than the bit soft value data of the check part corresponded in LDPC code word in the bit soft value data after deinterleave; Described second time is spliced into bit soft value data flow with described third time than the bit soft value data after deinterleave than in the bit soft value data after deinterleave; LDPC decoding process is carried out to obtain decoded bitstream data to described bit soft value data flow.
Compared with prior art, technical solution of the present invention has the following advantages:
Corresponding interlace map and deinterleaving de-mapping method is selected better to be promoted to make systematic function for specific LDPC code table.
Accompanying drawing explanation
Fig. 1 is the schematic flow sheet of the embodiment of the interlace map method of a kind of LDPC code word of the present invention;
Fig. 2 is the schematic flow sheet of the embodiment of the deinterleaving de-mapping method of a kind of LDPC code word of the present invention;
Fig. 3 be in the interlace map method of a kind of LDPC code word of the present invention to the check part in LDPC code word carry out first time Bit Interleave to obtain the schematic diagram of check bit stream;
Fig. 4 is the schematic diagram put in order according to sub-blocks of bits described in bit exchange pattern change in the interlace map method of a kind of LDPC code word of the present invention.
Embodiment
Inventor finds in prior art, cannot form Bit Interleave targetedly for specific LDPC code word and constellation mapping mode.
For the problems referred to above, inventor is through research, provide a kind of interlace map method and deinterleaving de-mapping method of LDPC code word, select corresponding interlace map and deinterleaving de-mapping method better to be promoted to make systematic function for different LDPC code tables.
For enabling above-mentioned purpose of the present invention, feature and advantage more become apparent, and are described in detail the specific embodiment of the present invention below in conjunction with accompanying drawing.
In embodiments of the present invention, transmitter terminal is: first the bit stream after message sink coding, Bose-Chaudhuri-Hocquenghem Code is input to the coding that LDPC encoder carries out the LDPC code word of specific code check code length, input bit interleaver afterwards, interleaving treatment is carried out according to certain specific Bit Interleave patterning method, subsequently the data after Bit Interleave process are carried out the 1024QAM constellation mapping of corresponding code check, modulate afterwards, launch, experience channel.Receiver end is: the data after channel are carried out demodulation, and the data input De-mapping module then after demodulation, carries out 1024QAM demapping.Afterwards the bit soft value information that De-mapping module exports is input to de-interleaving block and carries out deinterleaving, output to ldpc decoder afterwards, the decoding based on specific LDPC code word is carried out to it, output bit flow of finally decoding.
As shown in Figure 1 be the schematic flow sheet of the embodiment of the interlace map method of a kind of LDPC code word of the present invention.With reference to figure 1, the interlace map method of LDPC code word comprises the steps:
Step S11: the check part in described LDPC code word is carried out first time Bit Interleave to obtain check bit stream;
Step S12: the information bit part in described LDPC code word and described check bit stream are spliced into the LDPC code word after first time Bit Interleave;
Step S13: the LDPC code word after described first time Bit Interleave is divided into the multiple sub-blocks of bits of continuous print by predetermined length, and put in order the LDPC code word after forming second time Bit Interleave according to sub-blocks of bits described in corresponding bit exchange pattern change;
Step S14: the LDPC code word column major order write memory space after described second time Bit Interleave is also sequentially read the LDPC code word after obtaining third time Bit Interleave by row in this memory space;
Step S15: constellation mapping is carried out to obtain symbol stream according to corresponding planisphere to the LDPC code word after described third time Bit Interleave.
In the present embodiment, described step S11 specifically comprises the steps: the check part column major order write memory space in described LDPC code word and sequentially reads to obtain check bit stream in this memory space by row.
Particularly, the check portion generating LDPC code word is divided and carries out Bit Interleave: check part M the bit altogether of LDPC code word, write in a memory space by row, often arrange Q bit, altogether L row, that is M=Q*L, then sequentially reads by row.Its specific implementation process is with reference to shown in figure 3.
In described step S13, the LDPC code word after described first time Bit Interleave is divided into the multiple sub-blocks of bits of continuous print by predetermined length, and wherein said predetermined length is 320.Further, according to sub-blocks of bits described in corresponding bit exchange pattern change put in order formed second time Bit Interleave after LDPC code word.Its detailed process is detailed as shown in Figure 4, in the diagram, and (m 0, m 1..., m n/320-1) be the bit exchange pattern of 320 length bits sub-blocks.
Particularly, the code length of the LDPC code word in LDPC code table is 57600, and corresponding bit exchange pattern is:
It should be noted that, in the present embodiment, each numerical value in described bit exchange pattern refers to the position without sub-blocks of bits described before bit exchange.Such as, second numerical value 96 implication in above-mentioned bit exchange pattern refers to and original after bit exchange, nowadays becomes second sub-blocks of bits without the 97th sub-blocks of bits before bit exchange.
Corresponding planisphere is:
Constellation point Complex symbol
0 1.4882+1.4882i
1 1.2169+1.4882i
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228 0.1413+0.3544i
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232 0.1425+0.3470i
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240 0.3544+0.3544i
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962 -0.1425-0.1425i
963 -0.1425-0.1425i
964 -0.1413-0.1425i
965 -0.1413-0.1425i
966 -0.1413-0.1425i
967 -0.1413-0.1425i
968 -0.1425-0.1413i
969 -0.1425-0.1413i
970 -0.1425-0.1413i
971 -0.1425-0.1413i
972 -0.1413-0.1413i
973 -0.1413-0.1413i
974 -0.1413-0.1413i
975 -0.1413-0.1413i
976 -0.3544-0.1425i
977 -0.3543-0.1425i
978 -0.3544-0.1425i
979 -0.3543-0.1425i
980 -0.3470-0.1425i
981 -0.3470-0.1425i
982 -0.3470-0.1425i
983 -0.3470-0.1425i
984 -0.3544-0.1413i
985 -0.3543-0.1413i
986 -0.3544-0.1413i
987 -0.3543-0.1413i
988 -0.3470-0.1413i
989 -0.3470-0.1413i
990 -0.3470-0.1413i
991 -0.3470-0.1413i
992 -0.1425-0.3544i
993 -0.1425-0.3544i
994 -0.1425-0.3543i
995 -0.1425-0.3543i
996 -0.1413-0.3544i
997 -0.1413-0.3544i
998 -0.1413-0.3543i
999 -0.1413-0.3543i
1000 -0.1425-0.3470i
1001 -0.1425-0.3470i
1002 -0.1425-0.3470i
1003 -0.1425-0.3470i
1004 -0.1413-0.3470i
1005 -0.1413-0.3470i
1006 -0.1413-0.3470i
1007 -0.1413-0.3470i
1008 -0.3544-0.3544i
1009 -0.3543-0.3544i
1010 -0.3544-0.3543i
1011 -0.3543-0.3543i
1012 -0.3470-0.3544i
1013 -0.3470-0.3544i
1014 -0.3470-0.3543i
1015 -0.3470-0.3543i
1016 -0.3544-0.3470i
1017 -0.3543-0.3470i
1018 -0.3544-0.3470i
1019 -0.3543-0.3470i
1020 -0.3470-0.3470i
1021 -0.3470-0.3470i
1022 -0.3470-0.3470i
1023 -0.3470-0.3470i
In described step S14, such as, be the LDPC code word (the LDPC code word after second time Bit Interleave) of 57600 bits for code length, its column major order write memory space is also sequentially read by row in this memory space, wherein every row 5760 bit, totally 10 row.
Afterwards to the bitstream data (b after above-mentioned Bit Interleave 0, b 1..., b n-1), according to 1024QAM planisphere, the decimal number corresponding to every ten binary bit sequence is mapped to some constellation point, obtains symbol stream (the corresponding constellation point of each complex symbol).Such as, ten corresponding decimal numbers of bit ' 0000001101 ' of input are 13, then correspond to the constellation point of the 1.0024+0.9581i in 1024QAM planisphere, this constellation point being shown as on real number axis and axis of imaginaries, real number axis 1.0024, axis of imaginaries 0.9581.Then utilize symbol stream to carry out generation OFDM symbol at modulation module, finally launch.
In the present embodiment, described LDPC code word be to message sink coding after bit stream obtain after specific LDPC coding, wherein said specific LDPC coding can adopt prior art to realize.
Particularly, the code word of this LDPC is with L × L (L is generally 320) for sub-block size, and code table is as follows:
Table 1 code check 1/3N ldpc=57600, L × L=320 × 320, Q=120, M1=1280, M2=37120
Its coding method is as follows:
By the bit stream after message sink coding, be split as block of information one by one, each block of information is made up of K information bit, is expressed as S=(s 0, s 1..., s k-1).By the specific LDPC coding in Fig. 1, be will according to S=(s 0, s 1..., s k-1) generate M 1+ M 2individual check bit namely the code word Λ=(λ of N number of bit is obtained 0, λ 1..., λ n-1), wherein N=K+M 1+ M 2.Λ can be expressed as again,
The step of coding is:
1) initialization λ i=s i, i=0,1 ..., K-1.p j=0,j=0,1,...,M 1+M 2-1
2) to information bit λ 0, add up for the check bit of address to the first row numeral in code table, lift table 1 code check 1/3, the code table of code length 57600 is example:
Because its first row numeral is:
6326571119608615618260272686631291330923502635421
p 632 = p 632 ⊕ λ 0 , p 657 = p 657 ⊕ λ 0 , p 1119 = p 1119 ⊕ λ 0 , . . . . . . , p 35026 = p 35026 ⊕ λ 0 , p 35421 = p 35421 ⊕ λ 0 .
3) for an ensuing L-1 information bit, (usual L=320), λ m, m=1,2 ...., L-1, adds up with the check bit according to following y being address respectively by each information bit:
y = ( x + m &times; Q 1 ) mod M 1 , if x < M 1 M 1 + { ( x - M 1 + m &times; Q 2 ) mod M 2 } , if x > M 1
Wherein, x refers to and λ 0relevant check digit address, act table 1 is example, the numeral 6326571119608615618260272686631291330923502635421 of the first row in x and code table.And Q 1 = M 1 L , Q 2 = M 2 L .
Code word for table 1 is example,
Q 1 = M 1 L = 1280 320 = 4 , Q 2 = M 2 L = 37120 320 = 116 .
p 636 = p 636 &CirclePlus; &lambda; 1 , p 661 = p 661 &CirclePlus; &lambda; 1 , p 1123 = p 1123 &CirclePlus; &lambda; 1 , . . . . . . , p 35142 = p 35142 &CirclePlus; &lambda; 1 , p 35537 = p 35537 &CirclePlus; &lambda; 1 .
4) for L information bit λ l, according to the second line number word address in code table, check bit is added up.Same for an ensuing L-1 information bit, to continue according to step 3) in formula check bit is added up, the at this time numeral of the second row in the x of the formula of step 3 kind and code table.
5) in like manner, for 2L, 3L, 4L ... iL ... individual information bit, according to difference the 3rd in code table, 4, 5, (i+1) L .... add up to check bit in the address of row, L-1 information bit after its information bit is then respectively according to step 3) in formula check bit is added up, note the x of the formula of at this time step 3 kind corresponding be row in code table corresponding to a current i-th L information bit, L-1 bit after such as the i-th L information bit, its applying step 3) in formula time corresponding x address be (i+1) in code table OK.
6) step 5 is finished) after, be done as follows:
wherein i=1,2 ..., M 1-1
The embodiment of the present invention additionally provides a kind of deinterleaving de-mapping method of LDPC code word.As shown in Figure 2 be the schematic flow sheet of the embodiment of the deinterleaving de-mapping method of a kind of LDPC code word of the present invention.With reference to figure 2, the deinterleaving de-mapping method of LDPC code word comprises the steps:
Step S21: soft demapping process is carried out to obtain bit soft value data according to corresponding planisphere to symbol stream soft value data;
Step S22: described bit soft value data are sequentially written in memory space by row and column major order reads to obtain first time than the bit soft value data after deinterleave in this memory space;
Step S23: described first time is divided into the multiple bit soft value data sub-block of continuous print than the bit soft value data after deinterleave by predetermined length, and according to bit soft value data sub-block described in corresponding bit exchange pattern change put in order form second time than the bit soft value data after deinterleave;
Step S24: described second time is carried out third time than deinterleave to obtain third time than the bit soft value data after deinterleave than the bit soft value data of the check part corresponded in LDPC code word in the bit soft value data after deinterleave;
Step S25: described second time is spliced into bit soft value data flow with described third time than the bit soft value data after deinterleave than in the bit soft value data after deinterleave;
Step S26: LDPC decoding process is carried out to obtain decoded bitstream data to described bit soft value data flow.
In the present embodiment, described step S24 specifically comprises: described second time is sequentially written in memory space by row than the bit soft value data of the check part corresponded in LDPC code word in the bit soft value data after deinterleave and column major order reads to obtain third time than the bit soft value data after deinterleave in this memory space.
By the coding of above-mentioned LDPC, intertexture and modulation system, the thresholding of system under awgn channel can be made to reach 11.23, and the thresholding under rayleigh fading channel reaches 13.51, effectively can increase coverage rate.
Although the present invention with preferred embodiment openly as above; but it is not for limiting the present invention; any those skilled in the art without departing from the spirit and scope of the present invention; the Method and Technology content of above-mentioned announcement can be utilized to make possible variation and amendment to technical solution of the present invention; therefore; every content not departing from technical solution of the present invention; the any simple modification done above embodiment according to technical spirit of the present invention, equivalent variations and modification, all belong to the protection range of technical solution of the present invention.

Claims (7)

1. an interlace map method for LDPC code word, is characterized in that, comprise the steps:
Check part in described LDPC code word is carried out first time Bit Interleave to obtain check bit stream;
Information bit part in described LDPC code word and described check bit stream are spliced into the LDPC code word after first time Bit Interleave;
LDPC code word after described first time Bit Interleave is divided into the multiple sub-blocks of bits of continuous print by predetermined length, and puts in order the LDPC code word after forming second time Bit Interleave according to sub-blocks of bits described in corresponding bit exchange pattern change;
LDPC code word column major order write memory space after described second time Bit Interleave is also sequentially read by row in this memory space, obtains the LDPC code word after third time Bit Interleave;
Constellation mapping is carried out to obtain symbol stream according to corresponding planisphere to the LDPC code word after described third time Bit Interleave; Wherein, described bit exchange pattern and described planisphere are all corresponding from the LDPC code table of different code check.
2. the interlace map method of LDPC code word as claimed in claim 1, is characterized in that, the check part in described LDPC code word is carried out first time Bit Interleave and comprises to obtain check bit stream:
Check part column major order write memory space in described LDPC code word also is sequentially read to obtain check bit stream by row in this memory space.
3. the interlace map method of LDPC code word as claimed in claim 1, it is characterized in that, described predetermined length is 320 bits.
4. the interlace map method of LDPC code word as claimed in claim 1, is characterized in that, in described LDPC code table, the code length of LDPC code word is 57600 bits, code check is 1/3; Code table is:
Corresponding planisphere is:
Constellation point Complex symbol 0 1.4882+1.4882i 1 1.2169+1.4882i 2 1.4882+1.2169i 3 1.2169+1.2169i 4 0.9581+1.4882i
5 1.0024+1.4882i 6 0.9581+1.2169i 7 1.0024+1.2169i 8 1.4882+0.9581i 9 1.2169+0.9581i 10 1.4882+1.0024i 11 1.2169+1.0024i 12 0.9581+0.9581i 13 1.0024+0.9581i 14 0.9581+1.0024i 15 1.0024+1.0024i 16 0.6353+1.4882i 17 0.6363+1.4882i 18 0.6353+1.2169i 19 0.6363+1.2169i 20 0.7063+1.4882i 21 0.7085+1.4882i 22 0.7063+1.2169i 23 0.7085+1.2169i 24 0.6353+0.9581i 25 0.6363+0.9581i
26 0.6353+1.0024i 27 0.6363+1.0024i 28 0.7063+0.9581i 29 0.7085+0.9581i 30 0.7063+1.0024i 31 0.7085+1.0024i 32 1.4882+0.6353i 33 1.2169+0.6353i 34 1.4882+0.6363i 35 1.2169+0.6363i 36 0.9581+0.6353i 37 1.0024+0.6353i 38 0.9581+0.6363i 39 1.0024+0.6363i 40 1.4882+0.7063i 41 1.2169+0.7063i 42 1.4882+0.7085i 43 1.2169+0.7085i 44 0.9581+0.7063i 45 1.0024+0.7063i 46 0.9581+0.7085i
47 1.0024+0.7085i 48 0.6353+0.6353i 49 0.6363+0.6353i 50 0.6353+0.6363i 51 0.6363+0.6363i 52 0.7063+0.6353i 53 0.7085+0.6353i 54 0.7063+0.6363i 55 0.7085+0.6363i 56 0.6353+0.7063i 57 0.6363+0.7063i 58 0.6353+0.7085i 59 0.6363+0.7085i 60 0.7063+0.7063i 61 0.7085+0.7063i 62 0.7063+0.7085i 63 0.7085+0.7085i 64 0.1425+1.4882i 65 0.1425+1.4882i 66 0.1425+1.2169i 67 0.1425+1.2169i
68 0.1413+1.4882i 69 0.1413+1.4882i 70 0.1413+1.2169i 71 0.1413+1.2169i 72 0.1425+0.9581i 73 0.1425+0.9581i 74 0.1425+1.0024i 75 0.1425+1.0024i 76 0.1413+0.9581i 77 0.1413+0.9581i 78 0.1413+1.0024i 79 0.1413+1.0024i 80 0.3544+1.4882i 81 0.3543+1.4882i 82 0.3544+1.2169i 83 0.3543+1.2169i 84 0.3470+1.4882i 85 0.3470+1.4882i 86 0.3470+1.2169i 87 0.3470+1.2169i 88 0.3544+0.9581i
89 0.3543+0.9581i 90 0.3544+1.0024i 91 0.3543+1.0024i 92 0.3470+0.9581i 93 0.3470+0.9581i 94 0.3470+1.0024i 95 0.3470+1.0024i 96 0.1425+0.6353i 97 0.1425+0.6353i 98 0.1425+0.6363i 99 0.1425+0.6363i 100 0.1413+0.6353i 101 0.1413+0.6353i 102 0.1413+0.6363i 103 0.1413+0.6363i 104 0.1425+0.7063i 105 0.1425+0.7063i 106 0.1425+0.7085i 107 0.1425+0.7085i 108 0.1413+0.7063i 109 0.1413+0.7063i
110 0.1413+0.7085i 111 0.1413+0.7085i 112 0.3544+0.6353i 113 0.3543+0.6353i 114 0.3544+0.6363i 115 0.3543+0.6363i 116 0.3470+0.6353i 117 0.3470+0.6353i 118 0.3470+0.6363i 119 0.3470+0.6363i 120 0.3544+0.7063i 121 0.3543+0.7063i 122 0.3544+0.7085i 123 0.3543+0.7085i 124 0.3470+0.7063i 125 0.3470+0.7063i 126 0.3470+0.7085i 127 0.3470+0.7085i 128 1.4882+0.1425i 129 1.2169+0.1425i 130 1.4882+0.1425i
131 1.2169+0.1425i 132 0.9581+0.1425i 133 1.0024+0.1425i 134 0.9581+0.1425i 135 1.0024+0.1425i 136 1.4882+0.1413i 137 1.2169+0.1413i 138 1.4882+0.1413i 139 1.2169+0.1413i 140 0.9581+0.1413i 141 1.0024+0.1413i 142 0.9581+0.1413i 143 1.0024+0.1413i 144 0.6353+0.1425i 145 0.6363+0.1425i 146 0.6353+0.1425i 147 0.6363+0.1425i 148 0.7063+0.1425i 149 0.7085+0.1425i 150 0.7063+0.1425i 151 0.7085+0.1425i
152 0.6353+0.1413i 153 0.6363+0.1413i 154 0.6353+0.1413i 155 0.6363+0.1413i 156 0.7063+0.1413i 157 0.7085+0.1413i 158 0.7063+0.1413i 159 0.7085+0.1413i 160 1.4882+0.3544i 161 1.2169+0.3544i 162 1.4882+0.3543i 163 1.2169+0.3543i 164 0.9581+0.3544i 165 1.0024+0.3544i 166 0.9581+0.3543i 167 1.0024+0.3543i 168 1.4882+0.3470i 169 1.2169+0.3470i 170 1.4882+0.3470i 171 1.2169+0.3470i 172 0.9581+0.3470i
173 1.0024+0.3470i 174 0.9581+0.3470i 175 1.0024+0.3470i 176 0.6353+0.3544i 177 0.6363+0.3544i 178 0.6353+0.3543i 179 0.6363+0.3543i 180 0.7063+0.3544i 181 0.7085+0.3544i 182 0.7063+0.3543i 183 0.7085+0.3543i 184 0.6353+0.3470i 185 0.6363+0.3470i 186 0.6353+0.3470i 187 0.6363+0.3470i 188 0.7063+0.3470i 189 0.7085+0.3470i 190 0.7063+0.3470i 191 0.7085+0.3470i 192 0.1425+0.1425i 193 0.1425+0.1425i
194 0.1425+0.1425i 195 0.1425+0.1425i 196 0.1413+0.1425i 197 0.1413+0.1425i 198 0.1413+0.1425i 199 0.1413+0.1425i 200 0.1425+0.1413i 201 0.1425+0.1413i 202 0.1425+0.1413i 203 0.1425+0.1413i 204 0.1413+0.1413i 205 0.1413+0.1413i 206 0.1413+0.1413i 207 0.1413+0.1413i 208 0.3544+0.1425i 209 0.3543+0.1425i 210 0.3544+0.1425i 211 0.3543+0.1425i 212 0.3470+0.1425i 213 0.3470+0.1425i 214 0.3470+0.1425i
215 0.3470+0.1425i 216 0.3544+0.1413i 217 0.3543+0.1413i 218 0.3544+0.1413i 219 0.3543+0.1413i 220 0.3470+0.1413i 221 0.3470+0.1413i 222 0.3470+0.1413i 223 0.3470+0.1413i 224 0.1425+0.3544i 225 0.1425+0.3544i 226 0.1425+0.3543i 227 0.1425+0.3543i 228 0.1413+0.3544i 229 0.1413+0.3544i 230 0.1413+0.3543i 231 0.1413+0.3543i 232 0.1425+0.3470i 233 0.1425+0.3470i 234 0.1425+0.3470i 235 0.1425+0.3470i
236 0.1413+0.3470i 237 0.1413+0.3470i 238 0.1413+0.3470i 239 0.1413+0.3470i 240 0.3544+0.3544i 241 0.3543+0.3544i 242 0.3544+0.3543i 243 0.3543+0.3543i 244 0.3470+0.3544i 245 0.3470+0.3544i 246 0.3470+0.3543i 247 0.3470+0.3543i 248 0.3544+0.3470i 249 0.3543+0.3470i 250 0.3544+0.3470i 251 0.3543+0.3470i 252 0.3470+0.3470i 253 0.3470+0.3470i 254 0.3470+0.3470i 255 0.3470+0.3470i 256 -1.4882+1.4882i
257 -1.2169+1.4882i 258 -1.4882+1.2169i 259 -1.2169+1.2169i 260 -0.9581+1.4882i 261 -1.0024+1.4882i 262 -0.9581+1.2169i 263 -1.0024+1.2169i 264 -1.4882+0.9581i 265 -1.2169+0.9581i 266 -1.4882+1.0024i 267 -1.2169+1.0024i 268 -0.9581+0.9581i 269 -1.0024+0.9581i 270 -0.9581+1.0024i 271 -1.0024+1.0024i 272 -0.6353+1.4882i 273 -0.6363+1.4882i 274 -0.6353+1.2169i 275 -0.6363+1.2169i 276 -0.7063+1.4882i 277 -0.7085+1.4882i
278 -0.7063+1.2169i 279 -0.7085+1.2169i 280 -0.6353+0.9581i 281 -0.6363+0.9581i 282 -0.6353+1.0024i 283 -0.6363+1.0024i 284 -0.7063+0.9581i 285 -0.7085+0.9581i 286 -0.7063+1.0024i 287 -0.7085+1.0024i 288 -1.4882+0.6353i 289 -1.2169+0.6353i 290 -1.4882+0.6363i 291 -1.2169+0.6363i 292 -0.9581+0.6353i 293 -1.0024+0.6353i 294 -0.9581+0.6363i 295 -1.0024+0.6363i 296 -1.4882+0.7063i 297 -1.2169+0.7063i 298 -1.4882+0.7085i
299 -1.2169+0.7085i 300 -0.9581+0.7063i 301 -1.0024+0.7063i 302 -0.9581+0.7085i 303 -1.0024+0.7085i 304 -0.6353+0.6353i 305 -0.6363+0.6353i 306 -0.6353+0.6363i 307 -0.6363+0.6363i 308 -0.7063+0.6353i 309 -0.7085+0.6353i 310 -0.7063+0.6363i 311 -0.7085+0.6363i 312 -0.6353+0.7063i 313 -0.6363+0.7063i 314 -0.6353+0.7085i 315 -0.6363+0.7085i 316 -0.7063+0.7063i 317 -0.7085+0.7063i 318 -0.7063+0.7085i 319 -0.7085+0.7085i
320 -0.1425+1.4882i 321 -0.1425+1.4882i 322 -0.1425+1.2169i 323 -0.1425+1.2169i 324 -0.1413+1.4882i 325 -0.1413+1.4882i 326 -0.1413+1.2169i 327 -0.1413+1.2169i 328 -0.1425+0.9581i 329 -0.1425+0.9581i 330 -0.1425+1.0024i 331 -0.1425+1.0024i 332 -0.1413+0.9581i 333 -0.1413+0.9581i 334 -0.1413+1.0024i 335 -0.1413+1.0024i 336 -0.3544+1.4882i 337 -0.3543+1.4882i 338 -0.3544+1.2169i 339 -0.3543+1.2169i 340 -0.3470+1.4882i
341 -0.3470+1.4882i 342 -0.3470+1.2169i 343 -0.3470+1.2169i 344 -0.3544+0.9581i 345 -0.3543+0.9581i 346 -0.3544+1.0024i 347 -0.3543+1.0024i 348 -0.3470+0.9581i 349 -0.3470+0.9581i 350 -0.3470+1.0024i 351 -0.3470+1.0024i 352 -0.1425+0.6353i 353 -0.1425+0.6353i 354 -0.1425+0.6363i 355 -0.1425+0.6363i 356 -0.1413+0.6353i 357 -0.1413+0.6353i 358 -0.1413+0.6363i 359 -0.1413+0.6363i 360 -0.1425+0.7063i 361 -0.1425+0.7063i
362 -0.1425+0.7085i 363 -0.1425+0.7085i 364 -0.1413+0.7063i 365 -0.1413+0.7063i 366 -0.1413+0.7085i 367 -0.1413+0.7085i 368 -0.3544+0.6353i 369 -0.3543+0.6353i 370 -0.3544+0.6363i 371 -0.3543+0.6363i 372 -0.3470+0.6353i 373 -0.3470+0.6353i 374 -0.3470+0.6363i 375 -0.3470+0.6363i 376 -0.3544+0.7063i 377 -0.3543+0.7063i 378 -0.3544+0.7085i 379 -0.3543+0.7085i 380 -0.3470+0.7063i 381 -0.3470+0.7063i 382 -0.3470+0.7085i
383 -0.3470+0.7085i 384 -1.4882+0.1425i 385 -1.2169+0.1425i 386 -1.4882+0.1425i 387 -1.2169+0.1425i 388 -0.9581+0.1425i 389 -1.0024+0.1425i 390 -0.9581+0.1425i 391 -1.0024+0.1425i 392 -1.4882+0.1413i 393 -1.2169+0.1413i 394 -1.4882+0.1413i 395 -1.2169+0.1413i 396 -0.9581+0.1413i 397 -1.0024+0.1413i 398 -0.9581+0.1413i 399 -1.0024+0.1413i 400 -0.6353+0.1425i 401 -0.6363+0.1425i 402 -0.6353+0.1425i 403 -0.6363+0.1425i
404 -0.7063+0.1425i 405 -0.7085+0.1425i 406 -0.7063+0.1425i 407 -0.7085+0.1425i 408 -0.6353+0.1413i 409 -0.6363+0.1413i 410 -0.6353+0.1413i 411 -0.6363+0.1413i 412 -0.7063+0.1413i 413 -0.7085+0.1413i 414 -0.7063+0.1413i 415 -0.7085+0.1413i 416 -1.4882+0.3544i 417 -1.2169+0.3544i 418 -1.4882+0.3543i 419 -1.2169+0.3543i 420 -0.9581+0.3544i 421 -1.0024+0.3544i 422 -0.9581+0.3543i 423 -1.0024+0.3543i 424 -1.4882+0.3470i
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530 0.6353-1.2169i 531 0.6363-1.2169i 532 0.7063-1.4882i 533 0.7085-1.4882i 534 0.7063-1.2169i 535 0.7085-1.2169i 536 0.6353-0.9581i 537 0.6363-0.9581i 538 0.6353-1.0024i 539 0.6363-1.0024i 540 0.7063-0.9581i 541 0.7085-0.9581i 542 0.7063-1.0024i 543 0.7085-1.0024i 544 1.4882-0.6353i 545 1.2169-0.6353i 546 1.4882-0.6363i 547 1.2169-0.6363i 548 0.9581-0.6353i 549 1.0024-0.6353i 550 0.9581-0.6363i
551 1.0024-0.6363i 552 1.4882-0.7063i 553 1.2169-0.7063i 554 1.4882-0.7085i 555 1.2169-0.7085i 556 0.9581-0.7063i 557 1.0024-0.7063i 558 0.9581-0.7085i 559 1.0024-0.7085i 560 0.6353-0.6353i 561 0.6363-0.6353i 562 0.6353-0.6363i 563 0.6363-0.6363i 564 0.7063-0.6353i 565 0.7085-0.6353i 566 0.7063-0.6363i 567 0.7085-0.6363i 568 0.6353-0.7063i 569 0.6363-0.7063i 570 0.6353-0.7085i 571 0.6363-0.7085i
572 0.7063-0.7063i 573 0.7085-0.7063i 574 0.7063-0.7085i 575 0.7085-0.7085i 576 0.1425-1.4882i 577 0.1425-1.4882i 578 0.1425-1.2169i 579 0.1425-1.2169i 580 0.1413-1.4882i 581 0.1413-1.4882i 582 0.1413-1.2169i 583 0.1413-1.2169i 584 0.1425-0.9581i 585 0.1425-0.9581i 586 0.1425-1.0024i 587 0.1425-1.0024i 588 0.1413-0.9581i 589 0.1413-0.9581i 590 0.1413-1.0024i 591 0.1413-1.0024i 592 0.3544-1.4882i
593 0.3543-1.4882i 594 0.3544-1.2169i 595 0.3543-1.2169i 596 0.3470-1.4882i 597 0.3470-1.4882i 598 0.3470-1.2169i 599 0.3470-1.2169i 600 0.3544-0.9581i 601 0.3543-0.9581i 602 0.3544-1.0024i 603 0.3543-1.0024i 604 0.3470-0.9581i 605 0.3470-0.9581i 606 0.3470-1.0024i 607 0.3470-1.0024i 608 0.1425-0.6353i 609 0.1425-0.6353i 610 0.1425-0.6363i 611 0.1425-0.6363i 612 0.1413-0.6353i 613 0.1413-0.6353i
614 0.1413-0.6363i 615 0.1413-0.6363i 616 0.1425-0.7063i 617 0.1425-0.7063i 618 0.1425-0.7085i 619 0.1425-0.7085i 620 0.1413-0.7063i 621 0.1413-0.7063i 622 0.1413-0.7085i 623 0.1413-0.7085i 624 0.3544-0.6353i 625 0.3543-0.6353i 626 0.3544-0.6363i 627 0.3543-0.6363i 628 0.3470-0.6353i 629 0.3470-0.6353i 630 0.3470-0.6363i 631 0.3470-0.6363i 632 0.3544-0.7063i 633 0.3543-0.7063i 634 0.3544-0.7085i
635 0.3543-0.7085i 636 0.3470-0.7063i 637 0.3470-0.7063i 638 0.3470-0.7085i 639 0.3470-0.7085i 640 1.4882-0.1425i 641 1.2169-0.1425i 642 1.4882-0.1425i 643 1.2169-0.1425i 644 0.9581-0.1425i 645 1.0024-0.1425i 646 0.9581-0.1425i 647 1.0024-0.1425i 648 1.4882-0.1413i 649 1.2169-0.1413i 650 1.4882-0.1413i 651 1.2169-0.1413i 652 0.9581-0.1413i 653 1.0024-0.1413i 654 0.9581-0.1413i 655 1.0024-0.1413i
656 0.6353-0.1425i 657 0.6363-0.1425i 658 0.6353-0.1425i 659 0.6363-0.1425i 660 0.7063-0.1425i 661 0.7085-0.1425i 662 0.7063-0.1425i 663 0.7085-0.1425i 664 0.6353-0.1413i 665 0.6363-0.1413i 666 0.6353-0.1413i 667 0.6363-0.1413i 668 0.7063-0.1413i 669 0.7085-0.1413i 670 0.7063-0.1413i 671 0.7085-0.1413i 672 1.4882-0.3544i 673 1.2169-0.3544i 674 1.4882-0.3543i 675 1.2169-0.3543i 676 0.9581-0.3544i
677 1.0024-0.3544i 678 0.9581-0.3543i 679 1.0024-0.3543i 680 1.4882-0.3470i 681 1.2169-0.3470i 682 1.4882-0.3470i 683 1.2169-0.3470i 684 0.9581-0.3470i 685 1.0024-0.3470i 686 0.9581-0.3470i 687 1.0024-0.3470i 688 0.6353-0.3544i 689 0.6363-0.3544i 690 0.6353-0.3543i 691 0.6363-0.3543i 692 0.7063-0.3544i 693 0.7085-0.3544i 694 0.7063-0.3543i 695 0.7085-0.3543i 696 0.6353-0.3470i 697 0.6363-0.3470i
698 0.6353-0.3470i 699 0.6363-0.3470i 700 0.7063-0.3470i 701 0.7085-0.3470i 702 0.7063-0.3470i 703 0.7085-0.3470i 704 0.1425-0.1425i 705 0.1425-0.1425i 706 0.1425-0.1425i 707 0.1425-0.1425i 708 0.1413-0.1425i 709 0.1413-0.1425i 710 0.1413-0.1425i 711 0.1413-0.1425i 712 0.1425-0.1413i 713 0.1425-0.1413i 714 0.1425-0.1413i 715 0.1425-0.1413i 716 0.1413-0.1413i 717 0.1413-0.1413i 718 0.1413-0.1413i
719 0.1413-0.1413i 720 0.3544-0.1425i 721 0.3543-0.1425i 722 0.3544-0.1425i 723 0.3543-0.1425i 724 0.3470-0.1425i 725 0.3470-0.1425i 726 0.3470-0.1425i 727 0.3470-0.1425i 728 0.3544-0.1413i 729 0.3543-0.1413i 730 0.3544-0.1413i 731 0.3543-0.1413i 732 0.3470-0.1413i 733 0.3470-0.1413i 734 0.3470-0.1413i 735 0.3470-0.1413i 736 0.1425-0.3544i 737 0.1425-0.3544i 738 0.1425-0.3543i 739 0.1425-0.3543i
740 0.1413-0.3544i 741 0.1413-0.3544i 742 0.1413-0.3543i 743 0.1413-0.3543i 744 0.1425-0.3470i 745 0.1425-0.3470i 746 0.1425-0.3470i 747 0.1425-0.3470i 748 0.1413-0.3470i 749 0.1413-0.3470i 750 0.1413-0.3470i 751 0.1413-0.3470i 752 0.3544-0.3544i 753 0.3543-0.3544i 754 0.3544-0.3543i 755 0.3543-0.3543i 756 0.3470-0.3544i 757 0.3470-0.3544i 758 0.3470-0.3543i 759 0.3470-0.3543i 760 0.3544-0.3470i
761 0.3543-0.3470i 762 0.3544-0.3470i 763 0.3543-0.3470i 764 0.3470-0.3470i 765 0.3470-0.3470i 766 0.3470-0.3470i 767 0.3470-0.3470i 768 -1.4882-1.4882i 769 -1.2169-1.4882i 770 -1.4882-1.2169i 771 -1.2169-1.2169i 772 -0.9581-1.4882i 773 -1.0024-1.4882i 774 -0.9581-1.2169i 775 -1.0024-1.2169i 776 -1.4882-0.9581i 777 -1.2169-0.9581i 778 -1.4882-1.0024i 779 -1.2169-1.0024i 780 -0.9581-0.9581i 781 -1.0024-0.9581i
782 -0.9581-1.0024i 783 -1.0024-1.0024i 784 -0.6353-1.4882i 785 -0.6363-1.4882i 786 -0.6353-1.2169i 787 -0.6363-1.2169i 788 -0.7063-1.4882i 789 -0.7085-1.4882i 790 -0.7063-1.2169i 791 -0.7085-1.2169i 792 -0.6353-0.9581i 793 -0.6363-0.9581i 794 -0.6353-1.0024i 795 -0.6363-1.0024i 796 -0.7063-0.9581i 797 -0.7085-0.9581i 798 -0.7063-1.0024i 799 -0.7085-1.0024i 800 -1.4882-0.6353i 801 -1.2169-0.6353i 802 -1.4882-0.6363i
803 -1.2169-0.6363i 804 -0.9581-0.6353i 805 -1.0024-0.6353i 806 -0.9581-0.6363i 807 -1.0024-0.6363i 808 -1.4882-0.7063i 809 -1.2169-0.7063i 810 -1.4882-0.7085i 811 -1.2169-0.7085i 812 -0.9581-0.7063i 813 -1.0024-0.7063i 814 -0.9581-0.7085i 815 -1.0024-0.7085i 816 -0.6353-0.6353i 817 -0.6363-0.6353i 818 -0.6353-0.6363i 819 -0.6363-0.6363i 820 -0.7063-0.6353i 821 -0.7085-0.6353i 822 -0.7063-0.6363i 823 -0.7085-0.6363i
824 -0.6353-0.7063i 825 -0.6363-0.7063i 826 -0.6353-0.7085i 827 -0.6363-0.7085i 828 -0.7063-0.7063i 829 -0.7085-0.7063i 830 -0.7063-0.7085i 831 -0.7085-0.7085i 832 -0.1425-1.4882i 833 -0.1425-1.4882i 834 -0.1425-1.2169i 835 -0.1425-1.2169i 836 -0.1413-1.4882i 837 -0.1413-1.4882i 838 -0.1413-1.2169i 839 -0.1413-1.2169i 840 -0.1425-0.9581i 841 -0.1425-0.9581i 842 -0.1425-1.0024i 843 -0.1425-1.0024i 844 -0.1413-0.9581i
845 -0.1413-0.9581i 846 -0.1413-1.0024i 847 -0.1413-1.0024i 848 -0.3544-1.4882i 849 -0.3543-1.4882i 850 -0.3544-1.2169i 851 -0.3543-1.2169i 852 -0.3470-1.4882i 853 -0.3470-1.4882i 854 -0.3470-1.2169i 855 -0.3470-1.2169i 856 -0.3544-0.9581i 857 -0.3543-0.9581i 858 -0.3544-1.0024i 859 -0.3543-1.0024i 860 -0.3470-0.9581i 861 -0.3470-0.9581i 862 -0.3470-1.0024i 863 -0.3470-1.0024i 864 -0.1425-0.6353i 865 -0.1425-0.6353i
866 -0.1425-0.6363i 867 -0.1425-0.6363i 868 -0.1413-0.6353i 869 -0.1413-0.6353i 870 -0.1413-0.6363i 871 -0.1413-0.6363i 872 -0.1425-0.7063i 873 -0.1425-0.7063i 874 -0.1425-0.7085i 875 -0.1425-0.7085i 876 -0.1413-0.7063i 877 -0.1413-0.7063i 878 -0.1413-0.7085i 879 -0.1413-0.7085i 880 -0.3544-0.6353i 881 -0.3543-0.6353i 882 -0.3544-0.6363i 883 -0.3543-0.6363i 884 -0.3470-0.6353i 885 -0.3470-0.6353i 886 -0.3470-0.6363i
887 -0.3470-0.6363i 888 -0.3544-0.7063i 889 -0.3543-0.7063i 890 -0.3544-0.7085i 891 -0.3543-0.7085i 892 -0.3470-0.7063i 893 -0.3470-0.7063i 894 -0.3470-0.7085i 895 -0.3470-0.7085i 896 -1.4882-0.1425i 897 -1.2169-0.1425i 898 -1.4882-0.1425i 899 -1.2169-0.1425i 900 -0.9581-0.1425i 901 -1.0024-0.1425i 902 -0.9581-0.1425i 903 -1.0024-0.1425i 904 -1.4882-0.1413i 905 -1.2169-0.1413i 906 -1.4882-0.1413i 907 -1.2169-0.1413i
908 -0.9581-0.1413i 909 -1.0024-0.1413i 910 -0.9581-0.1413i 911 -1.0024-0.1413i 912 -0.6353-0.1425i 913 -0.6363-0.1425i 914 -0.6353-0.1425i 915 -0.6363-0.1425i 916 -0.7063-0.1425i 917 -0.7085-0.1425i 918 -0.7063-0.1425i 919 -0.7085-0.1425i 920 -0.6353-0.1413i 921 -0.6363-0.1413i 922 -0.6353-0.1413i 923 -0.6363-0.1413i 924 -0.7063-0.1413i 925 -0.7085-0.1413i 926 -0.7063-0.1413i 927 -0.7085-0.1413i 928 -1.4882-0.3544i
929 -1.2169-0.3544i 930 -1.4882-0.3543i 931 -1.2169-0.3543i 932 -0.9581-0.3544i 933 -1.0024-0.3544i 934 -0.9581-0.3543i 935 -1.0024-0.3543i 936 -1.4882-0.3470i 937 -1.2169-0.3470i 938 -1.4882-0.3470i 939 -1.2169-0.3470i 940 -0.9581-0.3470i 941 -1.0024-0.3470i 942 -0.9581-0.3470i 943 -1.0024-0.3470i 944 -0.6353-0.3544i 945 -0.6363-0.3544i 946 -0.6353-0.3543i 947 -0.6363-0.3543i 948 -0.7063-0.3544i 949 -0.7085-0.3544i
950 -0.7063-0.3543i 951 -0.7085-0.3543i 952 -0.6353-0.3470i 953 -0.6363-0.3470i 954 -0.6353-0.3470i 955 -0.6363-0.3470i 956 -0.7063-0.3470i 957 -0.7085-0.3470i 958 -0.7063-0.3470i 959 -0.7085-0.3470i 960 -0.1425-0.1425i 961 -0.1425-0.1425i 962 -0.1425-0.1425i 963 -0.1425-0.1425i 964 -0.1413-0.1425i 965 -0.1413-0.1425i 966 -0.1413-0.1425i 967 -0.1413-0.1425i 968 -0.1425-0.1413i 969 -0.1425-0.1413i 970 -0.1425-0.1413i
971 -0.1425-0.1413i 972 -0.1413-0.1413i 973 -0.1413-0.1413i 974 -0.1413-0.1413i 975 -0.1413-0.1413i 976 -0.3544-0.1425i 977 -0.3543-0.1425i 978 -0.3544-0.1425i 979 -0.3543-0.1425i 980 -0.3470-0.1425i 981 -0.3470-0.1425i 982 -0.3470-0.1425i 983 -0.3470-0.1425i 984 -0.3544-0.1413i 985 -0.3543-0.1413i 986 -0.3544-0.1413i 987 -0.3543-0.1413i 988 -0.3470-0.1413i 989 -0.3470-0.1413i 990 -0.3470-0.1413i 991 -0.3470-0.1413i
992 -0.1425-0.3544i 993 -0.1425-0.3544i 994 -0.1425-0.3543i 995 -0.1425-0.3543i 996 -0.1413-0.3544i 997 -0.1413-0.3544i 998 -0.1413-0.3543i 999 -0.1413-0.3543i 1000 -0.1425-0.3470i 1001 -0.1425-0.3470i 1002 -0.1425-0.3470i 1003 -0.1425-0.3470i 1004 -0.1413-0.3470i 1005 -0.1413-0.3470i 1006 -0.1413-0.3470i 1007 -0.1413-0.3470i 1008 -0.3544-0.3544i 1009 -0.3543-0.3544i 1010 -0.3544-0.3543i 1011 -0.3543-0.3543i 1012 -0.3470-0.3544i
1013 -0.3470-0.3544i 1014 -0.3470-0.3543i 1015 -0.3470-0.3543i 1016 -0.3544-0.3470i 1017 -0.3543-0.3470i 1018 -0.3544-0.3470i 1019 -0.3543-0.3470i 1020 -0.3470-0.3470i 1021 -0.3470-0.3470i 1022 -0.3470-0.3470i 1023 -0.3470-0.3470i
5. the interlace map method of LDPC code word as claimed in claim 1, it is characterized in that, the number of described column major order is 10 row.
6. a deinterleaving de-mapping method for LDPC code word, is characterized in that, comprise the steps:
Soft demapping process is carried out to obtain bit soft value data according to corresponding planisphere to symbol stream soft value data; Wherein said symbol stream soft value data are the symbol stream that interlace map method that receiving terminal receives LDPC code word as claimed in claim 1 obtains;
Described bit soft value data are sequentially written in memory space by row and column major order reads to obtain first time than the bit soft value data after deinterleave in this memory space;
Described first time is divided into the multiple bit soft value data sub-block of continuous print than the bit soft value data after deinterleave by predetermined length, and according to bit soft value data sub-block described in corresponding bit exchange pattern change put in order form second time than the bit soft value data after deinterleave;
Described second time is carried out third time than deinterleave to obtain third time than the bit soft value data after deinterleave than the bit soft value data of the check part corresponded in LDPC code word in the bit soft value data after deinterleave;
Described second time is spliced into bit soft value data flow with described third time than the bit soft value data after deinterleave than in the bit soft value data after deinterleave;
LDPC decoding process is carried out to obtain decoded bitstream data to described bit soft value data flow.
7. the deinterleaving de-mapping method of LDPC code word as claimed in claim 6, it is characterized in that, describedly described second time is carried out third time than the bit soft value data of the check part corresponded in LDPC code word in the bit soft value data after deinterleave comprise than the bit soft value data after deinterleave to obtain third time than deinterleave:
Described second time is sequentially written in memory space by row than the bit soft value data of the check part corresponded in LDPC code word in the bit soft value data after deinterleave and column major order reads in this memory space, the described columns that also column major order reads of write is by row 10 row, obtains third time than the bit soft value data after deinterleave.
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