KR102415795B1 - Transmitting apparatus and signal processing method thereof - Google Patents

Abstract

A transmitting device is disclosed. The transmitting apparatus includes an encoder for generating an LDPC codeword by performing LDPC encoding, an interleaver for interleaving the LDPC codeword, and a modulator for generating a modulation symbol by modulating the interleaved LDPC codeword according to a modulation scheme, the interleaver comprising: It is composed of a group interleaver that groups LDPC codewords into a plurality of bit groups and rearranges the order of the plurality of bit groups in group units, and a plurality of columns each including a plurality of rows. and a block interleaver for discriminating and interleaving a plurality of bit groups rearranged based on the plurality of bits, wherein the block interleaver divides each of the plurality of columns into a first part and a second part, and divides the plurality of bit groups into a plurality of bits constituting the first part. A plurality of bits constituting the second part are sequentially written to a column of a bit group, and bits constituting the remaining bit group are divided into bit groups each having a predetermined number of bits based on the number of a plurality of columns. Interleaving is performed by sequentially writing to the columns of

Description

Transmitting device and its signal processing method { TRANSMITTING APPARATUS AND SIGNAL PROCESSING METHOD THEREOF }

The present invention relates to a transmitting apparatus and a signal processing method thereof, and more particularly, to a transmitting apparatus for processing and transmitting data and a signal processing method thereof.

In a communication/broadcasting system, link performance may be significantly degraded by various noises and fading phenomena of a channel and inter-symbol interference (ISI). Therefore, in order to realize high-speed digital communication/broadcast systems that require high data throughput and reliability, such as next-generation mobile communication, digital broadcasting, and portable Internet, it is required to develop a technology for overcoming noise, fading, and inter-symbol interference. . As part of research to overcome noise, etc., recently, research on error-correcting codes has been actively conducted as a method to increase communication reliability by efficiently restoring information distortion.

The LDPC (Low Density Parity Check) code, first introduced by Gallager in the 1960s, has been forgotten for a long time due to its complexity that was difficult to implement at the technical level at the time. However, as the turbo code proposed by Berrou, Glavieux, and Thitimajshima in 1993 showed performance close to Shannon's channel capacity, many interpretations of the performance and characteristics of the turbo code were performed and iterative decoding was performed. A lot of research has been done on iterative decoding and graph-based channel encoding. With this as an opportunity, as the LDPC code was re-researched in the late 1990s, iterative decoding based on the sum-product algorithm on the Tanner graph corresponding to the LDPC code was applied to perform decoding. Discussion It has been found to have performance close to the channel capacity.

When an LDPC code is transmitted using a higher-order modulation scheme, performance may vary depending on a method of mapping codeword bits to higher-order modulation bits. Therefore, there is a need for a method of mapping the LDPC codeword bits to higher-order modulation bits for an LDPC code having excellent performance.

The present invention has been made in accordance with the above-mentioned necessity, and an object of the present invention is a transmitter capable of mapping bits included in a preset group among a plurality of groups constituting an LDPC codeword to preset bits in a modulation symbol and transmitting a signal thereof and a signal thereof To provide a processing method.

According to an embodiment of the present invention, a transmitting apparatus for achieving the above object includes an encoder for generating an LDPC codeword by performing LDPC encoding, an interleaver for interleaving the LDPC codeword, and the interleaved LDPC according to a modulation scheme. a modulator for generating a modulation symbol by modulating a codeword, wherein the interleaver groups the LDPC codeword into a plurality of bit groups and rearranges the order of the plurality of bit groups in group units; and a block interleaver comprising a plurality of columns including a row, and interleaving the plurality of rearranged bit groups by distinguishing them based on a modulation order determined according to the modulation scheme, wherein the block interleaver is configured to interleave each of the plurality of columns. It is divided into a first part and a second part, the plurality of bit groups are sequentially written to the plurality of columns constituting the first part in units of bit groups, and the bits constituting the remaining bit groups are assigned to the number of the plurality of columns. Interleaving is performed by dividing the divided bit groups into bit groups each having a predetermined number of bits based on each other, and sequentially writing the divided bit groups to a plurality of columns constituting the second part.

Here, the number of the plurality of columns has the same value as the modulation order according to the modulation scheme, and each of the plurality of columns is divided by the number of bits constituting the LDPC codeword by the number of the plurality of columns. can be configured.

In addition, in each of the plurality of columns, the first part includes the plurality of bit groups among a plurality of bit groups constituting the LDPC codeword according to the number of the plurality of columns, the number of bit groups, and the number of bits constituting each bit group. is composed of as many rows as the number of bits included in at least some bit groups writeable in units of bit groups in each column of Each of the plurality of columns may be composed of rows excluding the number of rows as many as the number of bits included in at least some bit groups that can be written in units of bit groups.

Here, the number of rows of the second part may have the same value as the quotient obtained by dividing the number of bits included in all bit groups except for the bit group corresponding to the first part by the number of columns constituting the block interleaver. have.

In addition, the block interleaver sequentially writes bits included in at least some bit groups that can be written in units of bit groups to each of a plurality of columns constituting the first part, and at least some bit groups in the plurality of bit groups Bits included in the remaining bit groups except for ? may be divided based on the number of the plurality of columns to sequentially write to each of the plurality of columns constituting the second part.

Here, the block interleaver divides the bits included in the remaining bit group into the number of the plurality of columns, and writes each of the divided bits to each of the plurality of columns constituting the second part in a column direction, Interleaving may be performed by reading a plurality of columns constituting the first part and the second part in a row direction.

Meanwhile, the modulation order may be 2,4,6,8,10,12 when the modulation scheme is QPSK, 16-QAM, 64-QAM, 256-QAM, 1024-QAM, or 4096-QAM.

Meanwhile, the signal processing method of a transmitting apparatus according to an embodiment of the present invention includes generating an LDPC codeword by performing LDPC encoding, interleaving the LDPC codeword, and generating the interleaved LDPC codeword according to a modulation method. and generating a modulation symbol by modulating, wherein the interleaving includes grouping the LDPC codewords into a plurality of groups, rearranging the order of the plurality of groups in a group unit, and each of a plurality of rows using a plurality of columns and discriminating and interleaving the plurality of rearranged groups based on a modulation order determined according to the modulation scheme, wherein the interleaving by separating the plurality of rearranged groups includes the steps of: Each of a plurality of columns is divided into a first part and a second part, the plurality of groups are sequentially written to a plurality of columns constituting the first part in units of bit groups, and bits constituting the remaining groups are written in the plurality of columns. Interleaving is performed by dividing each bit group comprising a predetermined number of bits based on the number of columns, and sequentially writing the divided bit group to a plurality of columns constituting the second part.

Here, the number of the plurality of columns has the same value as the modulation order according to the modulation scheme, and each of the plurality of columns consists of rows equal to a value obtained by dividing the number of bits constituting the LDPC codeword by the number of the plurality of columns. can be

In addition, in each of the plurality of columns, the first part includes the plurality of bit groups among a plurality of bit groups constituting the LDPC codeword according to the number of the plurality of columns, the number of bit groups, and the number of bits constituting each bit group. is composed of as many rows as the number of bits included in at least some bit groups writeable in units of bit groups in each column of Each of the plurality of columns may be composed of rows excluding the number of rows as many as the number of bits included in at least some bit groups that can be written in units of bit groups.

Here, the number of rows of the second part may have the same value as a quotient obtained by dividing the number of bits included in all bit groups except for the bit group corresponding to the first part by the number of the plurality of columns.

In addition, the interleaving may include sequentially writing bits included in at least some bit groups that can be written in units of the bit groups to each of a plurality of columns constituting the first part, and at least some bits of the plurality of bit groups. Bits included in the remaining bit groups except for the group may be divided based on the number of the plurality of columns to sequentially write to each of the plurality of columns constituting the second part.

Here, the interleaving comprises dividing the bits included in the remaining bit group into the number of the plurality of columns, and writing each of the divided bits to each of the plurality of columns constituting the second part in a column direction; , interleaving may be performed by reading a plurality of columns constituting the first part and the second part in a row direction.

Meanwhile, the modulation order may be 2,4,6,8,10,12 when the modulation scheme is QPSK, 16-QAM, 64-QAM, 256-QAM, 1024-QAM, or 4096-QAM.

According to various embodiments of the present invention, it is possible to provide better decoding and reception performance.

1 is a block diagram for explaining the configuration of a transmitting apparatus according to an embodiment of the present invention;
2 and 3 are diagrams for explaining the structure of a parity check matrix according to an embodiment of the present invention;
4 is a block diagram for explaining the structure of an interleaver according to an embodiment of the present invention;
5 to 7 are diagrams illustrating a method of processing an LDPC codeword in a group unit according to an embodiment of the present invention;
8 to 11 are diagrams for explaining a structure of a block interleaver and an interleaving method according to an embodiment of the present invention;
12 and 13 are diagrams for explaining an operation of a demultiplexer according to an embodiment of the present invention;
14 is a view for explaining an example of a uniform constellation modulation method according to an embodiment of the present invention;
15 to 19 are diagrams for explaining an example of a non uniform constellation modulation scheme according to an embodiment of the present invention;
20 is a block diagram for explaining the structure of an interleaver according to another embodiment of the present invention;
21 and 23 are diagrams for explaining a structure of a block-row interleaver and an interleaving method according to an embodiment of the present invention;
24 is a block diagram for explaining the configuration of a receiving apparatus according to an embodiment of the present invention;
25 and 27 are block diagrams for explaining the structure of a deinterleaver according to an embodiment of the present invention;
26 is a diagram for explaining a block deinterleaver according to an embodiment of the present invention;
28 is a flowchart illustrating a signal processing method according to an embodiment of the present invention.

Hereinafter, the present invention will be described in more detail with reference to the accompanying drawings.

1 is a block diagram for explaining the configuration of a transmitting apparatus according to a first embodiment of the present invention. Referring to FIG. 1 , a transmitting apparatus 100 includes an encoder 110 , an interleaver 120 , and a modulator 130 (or may be referred to as a 'constellation mapper').

The encoder 110 generates an LDPC codeword by performing low density parity check (LDPC) encoding. To this end, the encoder 110 may include an LDPC encoder (not shown) that performs LPDC encoding.

Specifically, the encoder 110 may generate an LDPC codeword including information word bits and parity bits (ie, LDPC parity bits) by performing LDPC encoding on input bits into information word bits. . In this case, since the LPDC code is a systematic code, information word bits may be included in the LDPC codeword as it is.

In this case, the LDPC codeword is composed of information word bits and parity bits. For example, the _LDPC codeword is composed of N ldpc bits, and may include information word bits composed of K _ldpc bits and parity bits composed of N _parity =N _ldpc -K _ldpc bits.

In this case, the encoder 110 may generate an LDPC codeword by performing LDPC encoding based on a parity check matrix (PCM). That is, since the process of performing LDPC encoding is a process of generating an LDPC codeword to satisfy H·C ^T =0, the encoder 110 may use a parity check matrix during LDPC encoding. Here, H denotes a parity check matrix, and C denotes an LDPC codeword.

To this end, the transmitting apparatus 100 may include a separate memory to pre-store various types of parity check matrices.

For example, the transmitting device 100 may include Digital Video Broadcasting-Cable version 2 (DVB-C2), Digital Video Broadcasting-Satellite-Second Generation (DVB-S2), Digital Video Broadcasting-Second Generation Terrestria (DVB-T2), etc. The parity check matrix defined in the standard of , or the parity check matrix defined in the ATSC (Advanced Television Systems Committee) 3.0 standard, a North American digital broadcasting standard system currently being established, may be pre-stored. However, this is only an example, and the transmitter 100 may pre-store various types of parity check matrices in addition to this.

Hereinafter, the structure of the parity check matrix will be described in detail with reference to FIGS. 2 and 3 .

Referring to FIG. 2 , the parity check matrix 200 includes an information word sub-matrix 210 which is a sub-matrix corresponding to information word bits, and a parity sub-matrix 220 which is a sub-matrix corresponding to the parity bits. In the parity check matrix 200, an element other than 1 is 0.

The information word submatrix 210 includes K _ldpc columns, and the parity submatrix 220 includes N _parity =N _ldpc -K _ldpc columns. Meanwhile, the number of rows of the parity check matrix 200 is equal to the number of columns of the parity submatrix 220 N _parity =N _ldpc -K _ldpc .

Also, in the parity check matrix 200 , N ldpc denotes the length of the _LDPC codeword, K _ldpc denotes the length of information word bits, and N _parity =N _ldpc -K _ldpc denotes the length of the parity bits. Here, the lengths of the LDPC codeword, information word bits, and parity bits mean the number of bits included in each of the LDPC codeword, information word bits, and parity bits.

Hereinafter, the structures of the information word submatrix 210 and the parity submatrix 220 will be described.

The information word submatrix 210 is a matrix including K _ldpc columns (ie, 0 th column to K _ldpc −1 th column), and follows the following rules.

First, K _ldpc columns constituting the information word submatrix 210 belong to the same group by M, and are divided into a total of K _ldpc /M column groups. Columns belonging to the same column group have a cyclic shift relationship by Q _ldpc .

Here, M is an interval at which a pattern of columns in the information word submatrix 210 is repeated (eg, M=360), and Q _ldpc is a size at which each column is cyclically shifted in the information word submatrix 210 . M and Q _ldpc are integers and are determined such that Q _ldpc =(N _ldpc -K _ldpc )/M holds. At this time, K _ldpc /M also becomes an integer. Meanwhile, M and Q _ldpc may have various values according to the length and code rate of the LDPC codeword.

For example, when M=360 and the length N ldpc of the _LDPC codeword is 64800, Q _ldpc is defined as shown in Table 1 below, and when M=360 and the length N ldpc of the _LDPC codeword is 16200, Q _ldpc is It can be defined as shown in Table 2.

이라 하면, i 번째 열 그룹 내의 j 번째 열에서 k 번째 무게-1(weight-1)이 위치한 행의 인덱스

(즉, i 번째 열 그룹 내의 j 번째 열에서 k 번째 1이 위치한 행의 인덱스)는 하기의 수학식 1과 같이 결정된다.Second, the degree of the 0th column of the i-th (i=0,1,..,K _ldpc /M-1) column group (here, the degree is the number of 1 values present in the column, in the same column group) Let D _i be the order of all columns belonging to the same column, and the position (or index) of each row with 1 in the 0th column of the i-th column group

, the index of the row where the k-th weight-1 is located in the j-th column in the i-th column group.

(that is, the index of the row in which the k-th 1 is located in the j-th column in the i-th column group) is determined as in Equation 1 below.

Here, k=0,1,2,..,D _i -1, i=0,1,..,K _ldpc /M-1, j=1,2,...,M-1.

Meanwhile, Equation 1 can be equally expressed as Equation 2 below.

Here, k=0,1,2,..,D _i -1, i=0,1,..,K _ldpc /M-1, j=1,2,...,M-1.

는 i 번째 열 그룹 내의 j 번째 열에서 k 번째 무게-1이 위치한 행의 인덱스, N_ldpc는 LDPC 부호어의 길이, K_ldpc는 정보어 비트들의 길이, D_i는 i 번째 열 그룹에 속하는 열들의 차수, M은 하나의 열 그룹에 속하는 열의 개수, Q_ldpc는 각 열이 시클릭 쉬프트되는 크기를 의미한다.In these formulas,

is the index of the row in which the k-th weight-1 is located in the j-th column in the i-th column group, N _ldpc is the length of the LDPC codeword, K _ldpc is the length of the information word bits, and D _i is the number of columns belonging to the i-th column group. A degree, M denotes the number of columns belonging to one column group, and Q _ldpc denotes a size at which each column is cyclically shifted.

값만을 알면 i 번째 열 그룹 내의 j 번째 열에서 k 번째 무게-1이 있는 행의 인덱스

를 알 수 있게 된다. 그러므로, 각각의 열 그룹 내의 첫 번째 열에서 k 번째 무게-1이 있는 행의 인덱스 값을 저장하면, 도 2의 구조를 갖는 패리티 검사 행렬(200)(즉, 패리티 검사 행렬(200)의 정보어 부분 행렬(210))에서 무게-1이 있는 열과 행의 위치가 파악될 수 있다.Finally, referring to these equations,

If only the values are known, the index of the row with kth weight-1 in jth column within the ith column group

can be known Therefore, if the index value of the row having the k-th weight-1 in the first column in each column group is stored, the parity check matrix 200 having the structure of FIG. 2 (that is, the information word of the parity check matrix 200) The positions of columns and rows having weight-1 in the partial matrix 210) may be identified.

According to the above-mentioned rules, all columns belonging to the i-th column group have the same order as D _i . Accordingly, the LDPC code storing information on the parity check matrix according to the above-mentioned rules can be briefly expressed as follows.

For example, when N _ldoc is 30, K _ldpc is 15, and Q _ldpc is 3, the position information of the row in which weight-1 is located in the 0th column of the three column group is expressed by the following Equation 3 , which may be referred to as a 'weight-1 position sequence'.

는 i번째 열 그룹 내의 j번째 열에서 k번째 무게-1이 있는 행의 인덱스를 의미한다.From here,

is the index of the row with k-th weight-1 in the j-th column in the i-th column group.

Weight-1 position sequences as in Equation 3 indicating the index of the row in which 1 is located in the 0th column of each column group can be more simply expressed as shown in Table 3 below.

Table 3 shows the positions of elements with weight-1, that is, 1, in the parity check matrix. represented by indices.

Based on the above description, the information word submatrix 210 of the parity check matrix according to an embodiment of the present invention may be defined by Tables 4 to 27 below.

Specifically, Tables 4 to 27 indicate the indices of the row in which 1 is located in the 0-th column of the i-th column group of the information word submatrix 210 . That is, the information word submatrix 210 is composed of a plurality of column groups each including M columns, and the position of 1 in the 0th column of each of the plurality of column groups may be defined by Tables 4 to 27. .

Here, the indices of the row where 1 is located in the 0th column of the i-th column group mean “addresses of parity bit accumulators”. Meanwhile, detailed description of “addresses of parity bit accumulators” will be omitted in that it has the same meaning as defined in standards such as DVB-C2/S2/T2 or ATSC 3.0 standards currently being established.

For example, when the length N ldpc of the _LDPC codeword is 16200, the code rate is 5/15, and M is 360, the indices of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are It is shown in Table 4 below.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rate is 6/15, and M is 360, the indices of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are It is shown in Table 5 below.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rate is 7/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 6 below.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rate R is 8/15, and M is 360, the row in which 1 is located in the 0th column of the i-th column group of the information word submatrix 210 is The indices are the same as in Table 7, Table 8 or Table 9 below.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rate is 9/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 10 below.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rate is 10/15, and M is 360, the index of the row in which 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 11, Table 12 or Table 13 below.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rate is 11/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 14 below.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rate is 12/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 15 or Table 16 below.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rate is 13/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 17 below.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rate is 5/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 18 below.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rate is 6/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 19 below.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rate is 7/15, and M is 360, the index of the row in which 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 20 or Table 21 below.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rate is 8/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 22 below.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rate is 9/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 23 below.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rate is 10/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 24 below.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rate is 11/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 25 below.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rate is 12/15, and M is 360, the index of the row where 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 26 below.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rate is 13/15, and M is 360, the index of the row in which 1 is located in the 0th column of the i-th column group of the information word submatrix 210 are shown in Table 27 below.

In Tables 4 to 27, in that the parity check matrix has the same sign even if the order of numbers in the sequence corresponding to each i-th column group is changed in Tables 4 to 27, the order in the sequence corresponding to each i-th column group in Tables 4 to 27 A case in which is changed may also be an example of a code considered in the present invention.

In addition, since the algebraic characteristics such as cycle characteristics and order distribution on the graph of signs do not change even if the enumeration order of the sequences corresponding to each column group is changed in Tables 4 to 27, the ordering order of the sequences shown in Tables 4 to 27 is A case of change may be one example.

In addition, as a result of adding a multiple of Q _ldpc to all of the sequences corresponding to an arbitrary column group in Tables 4 to 27, also the algebraic characteristics such as cycle characteristics or order distribution on the sign graph do not change, so Table 4 A result of adding multiples of Q _ldpc to all of the sequences shown in Table 27 may also be an example. The point to be noted here is that if the value is (N _ldpc -K _ldpc ) or more when the given sequence is added by Q _ldpc multiples, the modulo operation is performed on the value (N _ldpc -K _ldpc ). is to be applied by changing it to the applied value.

Meanwhile, as shown in Tables 4 to 27, when the position of the row in which 1 exists in the 0-th column of the i-th column group of the information word submatrix 210 is defined, it is cyclically shifted by Q _ldpc and The position of a row in which a 1 exists in a column can be defined.

For example, in Table 4, in the case of the 0th column of the 0th column group of the information word submatrix 210, the 245th row, the 449th row, the 491th row, ... 1 exists in

In this case, since Q _ldpc =(N _ldpc -K ldpc )/M=( _16200-5400 )/360=30, the index of the row where 1 is located in the 1st column of the 0th column group is 275 (=245+30) , 479(=449+30), 521(=491+30),… , and the index of the row in which 1 is located in the second column of the 0th column group may be 305 (=275+30), 509 (=479+30), 551 (=521+30), ....

In this way, the index of the row in which 1 is located in all rows of each column group may be defined.

Meanwhile, in the parity check matrix 200 shown in FIG. 2 , the parity sub-matrix 220 may be defined as follows.

The parity submatrix 220 is a submatrix including N _ldpc -K _ldpc columns (ie, the K _ldpc th column to the N _ldpc −1 th column) and has a dual diagonal or staircase structure. Accordingly, all of the columns included in the parity submatrix 220 have orders of 2 except for the last column (ie, the N _ldpc −1 th column), and the order of the last column becomes 1.

As a result, in the parity check matrix 200, the information word submatrix 210 is defined by Tables 4 to 27, and the parity submatrix 220 may have a double diagonal structure.

Meanwhile, if the columns and rows of the parity check matrix 200 shown in FIG. 2 are permuted based on Equations 4 and 5 below, the parity check matrix 200 shown in FIG. It may be expressed in the form of the parity check matrix 300 shown in .

A method of performing permutation based on Equations (4) and (5) is as follows. Here, since the same principle is applied to row permutation and column permutation, the row permutation will be described below as an example.

In the case of row permutation, i and j satisfying X= Q _ldpc ×i+ j are calculated for the X-th row, and the calculated i, j are substituted for M×j+i, and the X-th row is permuted. will yield For example, in the case of the 7th row, i and j satisfying 7=2×i+j become 3,1, respectively, so the 7th row is permutated as 10×1+3=13th row.

When row permutation and column permutation are performed in this way, the parity check matrix of FIG. 2 can be represented as shown in FIG. 3 .

Referring to FIG. 3 , the parity check matrix 300 divides the parity check matrix 300 into a plurality of partial blocks, and each of the partial blocks is quasi-cyclic with an M×M size. It has a form that corresponds to a matrix.

Accordingly, the parity check matrix 300 having the structure as shown in FIG. 3 is configured in matrix units of M×M size. That is, the parity check matrix 300 is configured by arranging partial matrices having an M×M size in a plurality of partial blocks.

As described above, since the parity check matrix 300 is configured in units of a quasi-circular matrix having an M×M size, M columns may be referred to as column-blocks and M rows may be referred to as row-blocks. have. Accordingly, the parity check matrix 300 having the structure shown in FIG. 3 used in the present invention is composed of N _{qc _ column} =N _ldpc /M column blocks and N _{qc _ row} =N _parity /M row blocks. can be seen as

Hereinafter, a partial matrix having an M×M size will be described.

First, _the (N _{qc_column} -1)-th _column block of the 0-th row block has the form of Equation 6 below.

As such, A (330) is an M×M matrix, and the values of the 0-th row and (M-1)-th column are all '0', and (i+ of the i-th column for 0≤i≤(M-2)) 1) The first row is '1' and all other values are '0'.

Second, for _0≤i≤ (N ldpc -K _ldpc )/M-1 in the parity submatrix 320, the i-th row block of the (K _ldpc /M+i)-th column block is the identity matrix I _{M × M} ( 340). Also, for _0≤i≤ (N ldpc -K _ldpc )/M-2, the (i+1)-th row block of the (K _ldpc /M+i)-th column block is the identity matrix I _{M × M} (340). is composed

또는, 순환 행렬 P가 시클릭 쉬프트된 행렬

이 합해진 형태(또는, 중첩된 형태)가 될 수 있다. Third, the block 350 constituting the information word sub-matrix 310 is a cyclic matrix P in a cyclic-shifted form.

Alternatively, a matrix in which the cyclic matrix P is cyclically shifted

This may be a combined form (or a nested form).

As an example, the form in which the cyclic matrix P is cyclically shifted by 1 in the right direction may be expressed as in Equation 7 below.

The cyclic matrix P is a square matrix having a size of M×M, and the cyclic matrix P represents a matrix in which the weight of each of M rows is 1 and the weight of each of the M columns is also 1. And, in the circular matrix P, when the superscript a _ij is 0, that is, P ⁰ represents the identity matrix I _{M × M} , and when the superscript a _ij is ∞, that is, P ^∞ represents a zero matrix.

가 될 수 있다. 따라서, i와 j는 정보어 부분에 해당하는 부분 블록들의 행 블록과 열 블록의 개수를 나타낸다. 따라서, 패리티 검사 행렬(300)은 전체 열의 개수가 N_ldpc=M×N_{qc _ column}이고, 전체 행의 개수가 N_parity=M×N_{qc _ row}가 된다. 즉, 패리티 검사 행렬(300)은 N_{qc _ column} 개의 "열 블록"과 N_{qc _ row} 개의 "행 블록"으로 구성된다.Meanwhile, in FIG. 3 , the partial matrix existing at the intersection of the i-th row block and the j-th column block of the parity check matrix 300 is

can be Accordingly, i and j indicate the number of row blocks and column blocks of the partial blocks corresponding to the information word part. Accordingly, in the parity check matrix 300, the total number of columns is N _ldpc =M×N _{qc _ column} , and the total number of rows is N _parity = M×N _{qc _ row} . That is, the parity check matrix 300 includes N _{qc _ column} “column blocks” and N _{qc _ row} “row blocks”.

Returning to FIG. 1 , the encoder 110 provides various codes such as 5/15, 6/15, 7/15, 8/15, 9/15, 10/15, 11/15, 12/15, 13/15, and the like. LDPC encoding can be performed using the rate. In addition, the encoder 110 may generate LDPC codewords having various lengths such as 16200 and 64800 based on the length and code rate of the information word bits.

In this case, the encoder 110 may perform LDPC encoding using the parity check matrix, and the detailed structure of the parity check matrix has been described above with reference to FIGS. 2 and 3 .

Also, the encoder 110 may perform Bose, Chaudhuri, Hocquenghem (BCH) encoding as well as LDPC encoding. To this end, the encoder 110 may further include a BCH encoder (not shown) that performs BCH encoding.

In this case, the encoder 110 may perform encoding in the order of BCH encoding and LDPC encoding. Specifically, the encoder 110 performs BCH encoding on input bits to add a BCH parity bit, and performs LDPC encoding on bits to which the BCH parity bit is added to information word bits to generate an LDPC codeword. You may.

The interleaver 120 interleaves the LDPC codewords. That is, the interleaver 120 may receive the LDPC codeword from the encoder 110 and interleave the LDPC codeword based on various interleaving rules.

In particular, the interleaver 120 performs the LDPC codeword so that bits included in a preset group among a plurality of groups (or a plurality of bit groups or a plurality of blocks) constituting the LDPC codeword are mapped to preset bits in the modulation symbol. can be interleaved. Accordingly, the modulator 130 may map a bit included in a preset group among a plurality of groups constituting the LDPC codeword to a preset bit in the modulation symbol.

Hereinafter, the interleaving rule used in the interleaver 120 will be described in more detail by dividing the case.

block interleaver when to use

According to an embodiment of the present invention, the interleaver 120 interleaves the LDPC codeword through the following method, so that bits included in a preset group among a plurality of groups constituting the interleaved LDPC codeword are included in the modulation symbol. It may be mapped to a preset bit. For a detailed description, refer to FIG. 4 .

4 is a block diagram illustrating a structure of an interleaver according to an embodiment of the present invention. According to FIG. 4 , the interleaver 120 includes a parity interleaver 121 , a group interleaver (or a group-wise interleaver, 122 ), a group twist interleaver 123 , and a block interleaver 124 .

The parity interleaver 121 interleaves parity bits constituting the LDPC codeword.

Specifically, when the LDPC codeword is generated based on the parity check matrix 200 having the structure shown in FIG. 2 , the parity interleaver 121 interleaves only the parity bits among the LDPC codewords using Equation 8 below. can

)에 대해 패리티 인터리빙을 수행하여 U=(u₀,u₁,…,

)를 출력할 수 있다.Here, M is the interval at which the pattern of columns in the information word submatrix 210 is repeated, that is, the number of columns included in the column group (for example, M=360), and Q _ldpc is each The size by which the column is cyclically shifted. That is, the parity interleaver 121 uses the LDPC codeword c=(c ₀ ,c ₁ ,…,

) by performing parity interleaving on U=(u ₀ ,u ₁ ,…,

) can be printed.

Meanwhile, when an LDPC codeword encoded based on the parity check matrix 200 as shown in FIG. 2 is parity interleaved based on Equation 8, the parity interleaved LDPC codeword is encoded by the parity check matrix 300 as shown in FIG. 3 . It becomes the same as the LDPC codeword. Accordingly, when the LDPC codeword is generated based on the parity check matrix 300 as shown in FIG. 3 , the parity interleaver 121 may be omitted.

On the other hand, LDPC codewords encoded based on the parity check matrix 200 having the shape of FIG. 2 and then parity interleaved and LDPC codewords encoded based on the parity check matrix 300 having the shape of FIG. 3 include a certain number of Consecutive bits may be configured to have similar decoding characteristics (eg, cycle distribution, order of columns, etc.).

For example, the LDPC codeword may have the same characteristic in units of consecutive M bits. Here, M is an interval at which the pattern of columns in the information word submatrix is repeated, and may be 360, for example.

Specifically, the product of the _LDPC codeword bits and the parity check matrix should be '0', which means _i It means that the sum of products of _ldpc -1) and the column of the i-th parity check matrix should be a '0' vector. Accordingly, the i-th LDPC codeword bit can be regarded as corresponding to the i-th column of the parity check matrix.

On the other hand, in the case of the parity check matrix 200 as shown in FIG. 2 , the information word submatrix 210 belongs to the same group by M columns, and has the same characteristics in units of column groups (eg, within the same column group). The columns have the same order distribution and the same cycle characteristics).

In this case, since M consecutive bits of information word bits correspond to the same column group of the information word submatrix 210, the information word bits may be configured of consecutive M bits having the same codeword characteristic. . Meanwhile, when the parity bits of the LDPC codeword are interleaved by the parity interleaver 121, the parity bits of the LDPC codeword may also include M consecutive bits having the same codeword characteristic.

Meanwhile, in the case of the parity check matrix 300 as shown in FIG. 3 , the information word submatrix 310 and the parity submatrix 320 of the parity check matrix 300 by row and column permutation include M columns. Since they have the same characteristics in units of column groups, information bits and parity bits of the LDPC codeword encoded based on the parity check matrix 300 may be formed of consecutive M bits having the same codeword characteristic. .

Here, in that the row permutation merely rearranges the order of the rows in the parity check matrix, the algebraic characteristics of the LDPC code itself, such as cycle characteristics, order distribution, and minimum distance, are not affected at all. In addition, in the case of column permutation, LDPC encoded by the parity check matrix 300 as shown in FIG. 3 in that it is performed on the parity submatrix 320 to correspond to the parity interleaving performed by the parity interleaver 121 . The parity bits of the codeword may consist of consecutive M bits like the parity bits of the LDPC codeword encoded by the parity check matrix 200 as shown in FIG. 2 .

In this way, the bits constituting the LDPC codeword may have the same characteristics in units of consecutive M bits.

The group interleaver 122 may divide the LDPC codeword into a plurality of groups and rearrange the order of the plurality of groups in a group wise manner. Alternatively, the group interleaver 122 may divide the parity-interleaved LDPC codeword into a plurality of groups and rearrange the order of the plurality of groups in a group wise manner.

That is, the group interleaver 122 may interleave a plurality of groups in units of groups.

To this end, the group interleaver 122 divides the parity-interleaved LDPC codeword into a plurality of groups using Equation 9 or Equation 10 below.

는 k/360 이하의 가장 큰 정수를 나타낸다. In these equations, N _group represents the total number of groups, X _j represents the j-th group, and u _k represents the k-th LDPC codeword bit input to the group interleaver 122 . and,

represents the largest integer less than or equal to k/360.

Meanwhile, since 360 in these equations represents an example of M, which is an interval at which the pattern of columns in the information word submatrix is repeated, 360 in these equations can be changed to M.

Meanwhile, LDPC codewords divided into a plurality of groups may be represented as shown in FIG. 5 .

Referring to FIG. 5 , it can be seen that the LDPC codeword is divided into a plurality of groups, and each group consists of consecutive M bits. Here, when M is 360, each of the plurality of groups may consist of 360 bits. Accordingly, each group may be composed of bits corresponding to each column group of the parity check matrix.

Specifically, since the LDPC codeword is divided by M consecutive bits, K _ldpc information word bits are divided into (K _ldpc /M) groups, and N _ldpc -K _ldpc parity bits are (N _ldpc -K _ldpc ) Separated into /M groups. Accordingly, the LDPC codeword can be divided into a total of (N _ldpc /M) groups. For example, when M=360, when the length N ldpc of the _LDPC codeword is 64800, the number of groups N _group becomes 180, and when the length N ldpc of the _LDPC codeword is 16200, the number of groups N _group becomes 45 can

As described above, the group interleaver 122 divides the LDPC codeword into the same group by M consecutive bits because the LDPC codeword has the same codeword characteristic in units of M consecutive bits as described above. Accordingly, when the LDPC codeword is divided into consecutive M bit units, bits having the same codeword characteristic may be included in the same group.

Meanwhile, in the above-described example, it has been described that the number of bits constituting each group is M, but this is only an example, and the number of bits constituting each group can be variously changed.

For example, the number of bits constituting each group may be a divisor of M. That is, the number of bits constituting each group may be a divisor of the number of columns constituting the column group of the information word submatrix of the parity check matrix. In this case, each group may be composed of a multiple of M bits. For example, when the number of columns constituting the column group of the information word submatrix is 360, that is, when M=360, the group interleaver 122 determines that the number of bits constituting each group is any one of a divisor of 360. As much as possible, the LDPC codeword can be divided into a plurality of groups.

However, hereinafter, for convenience of description, only the case where the number of bits constituting the group is M will be described.

Thereafter, the group interleaver 122 interleaves the LDPC codewords in units of groups. Specifically, the group interleaver 122 may group the LDPC codewords into a plurality of groups and rearrange the plurality of groups in units of groups. That is, the group interleaver 122 may rearrange the order of the plurality of groups constituting the LDPC codeword in units of groups by changing positions of the plurality of groups constituting the LDPC codeword.

Here, the group interleaver 122 may rearrange the order of the plurality of groups in units of groups so that, among the plurality of groups, groups including bits mapped to the same modulation symbol are spaced apart by a predetermined interval.

In this case, the group interleaver 122 considers the number of rows and columns constituting the block interleaver 124, the number of groups constituting the LDPC codeword, and the number of bits included in each group. Bits mapped to the same modulation symbol The order of the plurality of groups may be rearranged in units of groups so that the groups including the groups are spaced apart from each other by a predetermined interval.

To this end, the group interleaver 122 may rearrange the order of the plurality of groups in units of groups using Equation 11 below.

Here, X _j represents the j-th group before group interleaving, and Y _j represents the j-th group after group interleaving. In addition, π(j) is a parameter indicating an interleaving order, and may be determined by at least one of a length of an LDPC codeword, a code rate, and a modulation scheme.

Accordingly, X _π(j) represents the π(j)-th group before group interleaving, and Equation 11 means that the π(j)-th group before interleaving is interleaved into the j-th group after interleaving.

Meanwhile, a specific example of π(j) according to an embodiment of the present invention may be defined as shown in Tables 28 to 35 below.

In this case, π(j) is defined according to the length and code rate of the LDPC codeword, and the parity check matrix is also defined according to the length and code rate of the LDPC codeword. Therefore, when LDPC encoding is performed based on a specific parity check matrix according to the length and code rate of the LDPC codeword, the LDPC codeword is grouped based on π(j) that satisfies the length and code rate of the LDPC codeword. can be interleaved.

For example, when the encoder 110 performs LDPC encoding at a code rate of 10/15 to generate an LDPC codeword having a length of 16200, the group interleaver 122 selects one of Tables 28 to 35 below. Interleaving can be performed using π(j), which has a length of 16200 and a code rate of 10/15 of an LDPC codeword.

For example, when the length of the LDPC codeword is 16200, the code rate is 10/15, and the modulation method is 16-QAM (quadrature amplitude modulation), the group interleaver 122 calculates π(j) defined as shown in Table 28. Interleaving can be performed using

Meanwhile, a specific example of π(j) is as follows.

As an example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 16-QAM, π(j) is shown in Table 28 below. can be defined as

In the case of Table 28, Equation 11 is Y ₀ =X _π(0) =X ₇ , Y ₁ =X _π(1) =X ₁₇ , Y ₂ =X _π(2) =X ₃₃ ,..., Y It can be expressed as ₄₃ =X _π(43) =X ₁₃ , Y ₄₄ =X _π(44) =X ₄₄ . Accordingly, the group interleaver 122 assigns the 7th group to the 0th, the 17th group to the 1st, the 33rd group to the 2nd, ..., the 13th group to the 43rd, and the 44th group to the 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 64-QAM, π(j) is shown in Table 29 below. can be defined as

In the case of Table 29, Equation 11 is Y ₀ =X _π(0) =X ₃₂ , Y ₁ =X _π(1) =X ₄ , Y ₂ =X _π(2) =X ₂₃ ,..., Y It can be expressed as ₄₃ =X _π(43) =X ₄₃ , Y ₄₄ =X _π(44) =X ₄₄ . Accordingly, the group interleaver 122 assigns the 32nd group as the 0th, the 4th group as the 1st, the 23rd group as the 2nd, ..., the 43rd group as the 43rd, and the 44th group as the 44th. Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 256-QAM, π(j) is shown in Table 30 below. can be defined as

In the case of Table 30, Equation 11 is Y ₀ =X _π(0) =X ₂₈ , Y ₁ =X _π(1) =X ₆ , Y ₂ =X _π(2) =X ₁₅ ,..., Y It can be expressed as ₄₃ =X _π(43) =X ₄₃ , Y ₄₄ =X _π(44) =X ₄₄ . Accordingly, the group interleaver 122 sets the 28th group as the 0th, the 6th group as the 1st, the 15th group as the 2nd, ..., the 43rd group as the 43rd, and the 44th group as the 44th. Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 1024-QAM, π(j) is shown in Table 31 below can be defined as

In the case of Table 31, Equation 11 is Y ₀ =X _π(0) =X ₁₆ , Y ₁ =X _π(1) =X ₁₃ , Y ₂ =X _π(2) =X ₁ ,..., Y It can be expressed as ₄₃ =X _π(43) =X ₄₃ , Y ₄₄ =X _π(44) =X ₄₄ . Accordingly, the group interleaver 122 assigns the 16th group to the 0th, the 13th group to the 1st, the 1st group to the 2nd, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 256-QAM, π(j) is shown in Table 32 below can be defined as

In the case of Table 32, Equation 11 is Y ₀ =X _π(0) =X ₄₈ , Y ₁ =X _π(1) =X ₄ , Y ₂ =X _π(2) =X ₁₅ ,..., Y It can be expressed as ₁₇₈ =X _π(178) =X ₁₇₈ , Y ₁₇₉ =X _π(179) =X ₁₇₉ . Accordingly, the group interleaver 122 sets the 48th group as the 0th, the 4th group as the 1st, the 15th group as the 2nd, ..., the 178th group as the 178th, and the 179th group as the 179th. Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length Nldpc of the LDPC codeword is 64800, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 16-QAM, π(j) is can be defined together.

In the case of Table 33, Equation 11 is Y ₀ =X _π(0) =X ₁₂₁ , Y ₁ =X _π(1) =X ₃₉ , Y ₂ =X _π(2) =X ₁₃₉ ,..., Y It can be expressed as ₁₇₈ =X _π(178) =X ₂ , Y ₁₇₉ =X _π(179) =X ₉₆ . Accordingly, the group interleaver 122 assigns the 121st group to the 0th, the 39th group to the 1st, the 139th group to the 2nd,..., the 2nd group to the 178th, and the 96th group to 179 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 64-QAM, π(j) is shown in Table 34 below can be defined as

In the case of Table 34, Equation 11 is Y ₀ =X _π(0) =X ₄₉ , Y ₁ =X _π(1) =X ₁₀₅ , Y ₂ =X _π(2) =X ₁₀₄ ,..., Y It can be expressed as ₁₇₈ =X _π(178) =X ₁₆₄ , Y ₁₇₉ =X _π(179) =X ₁₇₆ . Accordingly, the group interleaver 122 sets the 49th group as the 0th, the 105th group as the 1st, the 104th group as the 2nd, ..., the 164th group as the 178th, and the 176th group as 179 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 1024-QAM, π(j) is shown in Table 35 below can be defined as

In the case of Table 35, Equation 11 is Y ₀ =X _π(0) =X ₄₅ , Y ₁ =X _π(1) =X ₃₇ , Y ₂ =X _π(2) =X ₃₁ ,..., Y It can be expressed as ₁₇₈ =X _π(178) =X ₁₉ , Y ₁₇₉ =X _π(179) =X ₁₆₅ . Accordingly, the group interleaver 122 sets the 45th group as the 0th, the 37th group as the 1st, the 31st group as the 2nd, ..., the 19th group as the 178th, and the 165th group as 179 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

In this way, the group interleaver 12 may rearrange the order of the plurality of groups in units of groups using Equation 11 and Tables 28 to 35.

Meanwhile, the group interleaver 122 may rearrange the order of the plurality of groups in units of groups using Equation 12 below.

Here, X _j represents the j-th group before group interleaving, and Y _j represents the j-th group after group interleaving. In addition, π(j) is a parameter indicating an interleaving order and may be determined by at least one of a length of an LDPC codeword, a code rate, and a modulation scheme.

Accordingly, Y _π(j) represents the π(j)-th group after group interleaving, and Equation 12 means that the j-th group before interleaving is interleaved into the π(j)-th group after interleaving.

Meanwhile, a specific example of π(j) according to an embodiment of the present invention may be defined as shown in Tables 36 to 43 below.

In this case, π(j) is defined according to the length and code rate of the LDPC codeword, and the parity check matrix is also defined according to the length and code rate of the LDPC codeword. Therefore, when LDPC encoding is performed based on a specific parity check matrix according to the length and code rate of the LDPC codeword, the LDPC codeword is grouped based on π(j) that satisfies the length and code rate of the LDPC codeword. can be interleaved.

For example, when the encoder 110 performs LDPC encoding at a code rate of 10/15 to generate an LDPC codeword having a length of 16200, the group interleaver 122 selects one of Tables 36 to 43 below. Interleaving can be performed using π(j) where the length of the LDPC codeword is 16200 and the code rate is defined in 10/15.

For example, when the length of the LDPC codeword is 16200, the code rate is 10/15, and the modulation method is 16-QAM, the group interleaver 122 performs interleaving using π(j) defined as shown in Table 36. can do.

Meanwhile, a specific example of π(j) is as follows.

As an example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 16-QAM, π(j) is shown in Table 36 below. can be defined as

In the case of Table 36, Equation 12 is X ₀ =Y _π(0) =Y ₃₅ , X ₁ =Y _π(1) =Y ₃₁ , X ₂ =Y _π(2) =Y ₃₉ ,..., X It can be expressed as ₄₃ =Y _π(43) =Y ₁₅ , X ₄₄ =Y _π(44) =Y ₄₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 35th, the 1st group to the 31st, the 2nd group to the 39th, ..., the 43rd group to the 15th, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 64-QAM, π(j) is shown in Table 37 below can be defined as

In the case of Table 37, Equation 12 is X ₀ =Y _π(0) =Y ₁₈ , X ₁ =Y _π(1) =Y ₃₁ , X ₂ =Y _π(2) =Y ₄₁ ,..., X It can be expressed as ₄₃ =Y _π(43) =Y ₄₃ , X ₄₄ =Y _π(44) =Y ₄₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 18th, the 1st group to the 31st, the 2nd group to the 41st, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 256-QAM, π(j) is shown in Table 38 below can be defined as

In the case of Table 38, Equation 12 is X ₀ =Y _π(0) =Y ₄ , X ₁ =Y _π(1) =Y ₁₃ , X ₂ =Y _π(2) =Y ₃₁ ,..., X It can be expressed as ₄₃ =Y _π(43) =Y ₄₃ , X ₄₄ =Y _π(44) =Y ₄₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 4th, the 1st group to the 13th, the 2nd group to the 31st, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 1024-QAM, π(j) is shown in Table 39 below can be defined as

In the case of Table 39, Equation 12 is X ₀ =Y _π(0) =Y ₁₀ , X ₁ =Y _π(1) =Y ₂ , X ₂ =Y _π(2) =Y ₂₈ ,..., X It can be expressed as ₄₃ =Y _π(43) =Y ₄₃ , X ₄₄ =Y _π(44) =Y ₄₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 10th, the 1st group to the 2nd, the 2nd group to the 28th, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 256-QAM, π(j) is shown in Table 40 below can be defined as

In the case of Table 40, Equation 12 is X ₀ =Y _π(0) =Y ₉ , X ₁ =Y _π(1) =Y ₆ , X ₂ =Y _π(2) =Y ₁₆₀ ,..., X It can be expressed as ₁₇₈ =Y _π(178) =Y ₁₇₇ , X ₁₇₉ =Y _π(179) =Y ₁₇₆ . Accordingly, the group interleaver 122 assigns the 0th group to the 9th, the 1st group to the 6th, the 2nd group to the 160th, ..., the 178th group to the 177th, and the 179th group to 176 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 16-QAM, π(j) is shown in Table 41 below can be defined as

In the case of Table 41, Equation 12 is X ₀ =Y _π(0) =Y ₁₃₅ , X ₁ =Y _π(1) =Y ₅₆ , X ₂ =Y _π(2) =Y ₁₇₈ ,..., X It can be expressed as ₁₇₈ =Y _π(178) =Y ₁₃₇ , X ₁₇₉ =Y _π(179) =Y ₂₆ . Accordingly, the group interleaver 122 assigns the 0th group to the 135th, the 1st group to the 56th, the 2nd group to the 178th, ..., the 178th group to the 137th, and the 179th group to 26 Second, by changing the order, the order of a plurality of groups can be rearranged in group units.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 64-QAM, π(j) is shown in Table 42 below can be defined as

In the case of Table 42, Equation 12 is X ₀ =Y _π(0) =Y ₁₃₈ , X ₁ =Y _π(1) =Y ₁₇₆ , X ₂ =Y _π(2) =Y ₁₁₄ ,..., X It can be expressed as ₁₇₈ =Y _π(178) =Y ₁₅₅ , X ₁₇₉ =Y _π(179) =Y ₁₃₀ . Accordingly, the group interleaver 122 assigns the 0th group to the 138th, the 1st group to the 176th, the 2nd group to the 114th, ..., the 178th group to the 155th, and the 179th group to 130 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 1024-QAM, π(j) is shown in Table 43 can be defined as

In the case of Table 43, Equation 12 is X ₀ =Y _π(0) =Y ₁₂ , X ₁ =Y _π(1) =Y ₃₂ , X ₂ =Y _π(2) =Y ₁₃ ,..., X It can be expressed as ₁₇₈ =Y _π(178) =Y ₁₅₃ , X ₁₇₉ =Y _π(179) =Y ₁₆₃ . Accordingly, the group interleaver 122 assigns the 0th group to the 12th, the 1st group to the 32nd, the 2nd group to the 13th, ..., the 178th group to the 153rd, and the 179th group to 163 Second, by changing the order, the order of a plurality of groups can be rearranged in group units.

In this way, the group interleaver 12 may rearrange the order of the plurality of groups in units of groups using Equation 12 and Tables 36 to 43.

On the other hand, in that the groups constituting the LDPC codeword are reordered in groups by the group interleaver 122 and then block interleaved by the block interleaver 124 to be described later, π(j) in Tables 28 to 43 ) was described as "Order of bits group to be block interleaved".

According to the above-described method, group interleaved LDPC codewords are shown in FIG. 6 . When the LDPC codeword shown in FIG. 6 is compared with the LDPC codeword before group interleaving shown in FIG. 5 , it can be seen that the order of a plurality of groups constituting the LDPC codeword is rearranged.

That is, as shown in FIGS. 5 and 6 , the LDPC codewords are group X ₀ , group X ₁ , ... before group interleaving. , group X _{Ngroup -1} are arranged in the order, and group interleaved to group Y ₀ , group Y ₁ , ... , group Y _{Ngroup -1} may be arranged in the order. In this case, the order in which each group is arranged by group interleaving may be determined based on Tables 28 to 43.

The group twist interleaver 123 interleaves bits within the same group. That is, the group twist interleaver 123 may rearrange the order of bits in the same group by changing the order of bits existing in the same group.

In this case, the group twist interleaver 123 may cyclic shift bits in the same group by a predetermined number of bits to rearrange the order of bits in the same group.

For example, as shown in FIG. 7 , the group twist interleaver 123 may cyclically shift bits included in the group Y ₁ by 1 bit in the right direction. In this case, the 0th, _1st , 2nd,... , 358th and 359th bits are cyclic shifted to the right by 1 bit, so the 359th bit before cyclic shift is located at the front in group Y ₁ and 0 before cyclic shift 1st, 1st, 2nd,… , and the bits positioned at the 358th are sequentially shifted to the right by 1 bit.

Also, the group twist interleaver 123 may cyclic shift each group by a different number of bits to rearrange the order of bits in each group.

For example, the group twist interleaver 123 may cyclic shift bits included in group Y ₁ in the right direction by 1 bit and cyclic shift bits included in group Y ₂ in the right direction by 3 bits. .

However, the above-described group twist interleaver 123 may be omitted in some cases.

In addition, although it has been described that the group twist interleaver 123 is disposed after the group interleaver 122 in the above-described example, this is also only an example. That is, the group twist interleaver 123 may be disposed before the group interleaver 122 in that it only changes the order of bits constituting the group within the group, but does not change the order of the group itself.

The block interleaver 124 interleaves a plurality of reordered groups. Specifically, the block interleaver 124 includes a plurality of columns each including a plurality of rows, and performs interleaving by classifying a plurality of reordered groups based on a modulation order determined according to a modulation method. can be done

In this case, a plurality of groups in which the order of the groups are rearranged by the group interleaver 122 may be interleaved in a group unit. Specifically, the block interleaver 124 includes a first part (part 1) and a second part (part 1). 2) may be used to classify a plurality of reordered groups according to a modulation order and interleave them.

Specifically, the block interleaver 124 divides each of the plurality of columns into a first part and a second part, sequentially writes the plurality of groups to the plurality of columns constituting the first part in group units, and the rest The bits constituting the group are divided into groups (or sub bit groups) each having a predetermined number of bits based on the number of a plurality of columns, and the divided groups are sequentially placed in a plurality of columns constituting the second part. Interleaving can be performed by writing.

Here, the number of groups interleaved in units of groups may be determined according to at least one of the number of rows and columns constituting the block interleaver 124 , the number of groups, and the number of bits included in each group. That is, the block interleaver 124 considers at least one of the number of rows and columns constituting the block interleaver 124, the number of groups, and the number of bits included in each group. , the corresponding group may be interleaved in units of groups, and the remaining groups may be divided and interleaved. For example, the block interleaver 124 may interleave at least some of the plurality of groups in a group unit using the first part, and divide the remaining groups using the second part for interleaving.

Meanwhile, interleaving in groups means that bits included in the same group are written to the same column. That is, the block interleaver 124 writes to the same column without dividing the bits included in the same group in the case of a group interleaved in units of groups, and divides the bits included in the corresponding group in the case of a group that is not interleaved in units of groups. Interleaving can be performed by writing to another column.

Accordingly, the number of rows constituting the first part may be a multiple of the number of bits included in one group (eg, 360), and the number of rows constituting the second part may be smaller than the number of bits included in one group. have.

In addition, all groups interleaved by the first part are interleaved by writing bits included in the same group to the same column of the first part, and at least one group interleaved by the second part includes at least two groups constituting the second part. It can be divided into columns and lit.

Specific details of such an interleaving method will be described later.

Meanwhile, the interleaving performed by the group twist interleaver 123 only changes the order of bits within the group, and the order of the group itself is not changed by interleaving. Accordingly, the order of the groups to be interleaved by the block interleaver 124 , that is, the order of the groups input to the block interleaver 124 may be determined by the group interleaver 122 . For example, the order of the groups to be block interleaved by the block interleaver 124 may be determined by π(j) defined in Tables 28 to 43.

As described above, the block interleaver 124 may consist of a plurality of columns each including a plurality of rows, and may interleave the LDPC codewords by dividing the plurality of columns into at least two parts.

For example, the block interleaver 124 may interleave a plurality of groups constituting the LDPC codeword by dividing each of the plurality of columns into a first part and a second part.

In this case, the block interleaver 124 divides each of the plurality of columns by N (N is an integer of 2 or more) according to whether the number of groups constituting the LDPC codeword is an integer multiple of the number of columns constituting the block interleaver 124 . Interleaving can be performed by dividing into parts of .

First, when the number of groups constituting the LDPC codeword is an integer multiple of the number of columns constituting the block interleaver 124, the block interleaver 124 configures the LDPC codeword without dividing each part of the plurality of columns. A plurality of groups may be interleaved in units of groups.

Specifically, the block interleaver 124 writes a plurality of groups constituting the LDPC codeword in a column direction to each column in a group unit, and reads each row of a plurality of columns in which a plurality of groups are written in a group unit in a row direction. (read) to perform interleaving.

In this case, the block interleaver 124 divides the number of groups constituting the LDPC codeword by the number of columns constituting the block interleaver 124 and applies the bits included in the group to each of the plurality of columns in the column direction. interleaving may be performed by sequentially writing and reading each row of a plurality of columns in which bits are written in a row direction.

Hereinafter, for convenience of description, a group located at the j-th position after being interleaved by the group interleaver 122 is referred to as a group Y _j .

For example, it is assumed that the block interleaver 124 is configured with C columns each including R ₁ rows. In addition, it is assumed that the LDPC codeword is composed of Y _groups , and the number of groups, Y _group , is a multiple of C.

In this case, since the quotient obtained by dividing the number of groups Ygroup constituting the LDPC codeword by the number C of columns constituting the block interleaver 124 is Y group/C, the block interleaver 124 receives Y _groups /C groups in each column. Interleaving may be performed by sequentially writing in the column direction and reading bits written in each column in the row direction.

For example, as shown in FIG. 8 , the block interleaver 124 includes a group (Y ₀ ), a group (Y ₁ ), ..., a group (Y _{p -1} ) in the R ₁ th row from the 1 st row of the first column. ), writes the bits included in each, from the 1st row of the second column to the R _1st row in each group (Y _p ), group (Y _{p +1} ),..., group (Y _{q -1} ) Writes the included bits,..., from the 1st row of the C column to the R _1st row, each group (Y _z ), group (Y _{z +1} ),..., group (Y _{Ngroup -1} ) It is possible to write bits included in , and read bits written to each row of a plurality of columns in a row direction.

Accordingly, the block interleaver 124 interleaves all groups constituting the LDPC codeword in group units.

However, when the number of groups constituting the LDPC codeword is not an integer multiple of the number of columns constituting the block interleaver 124, the block interleaver 124 divides each of the plurality of columns into two parts to generate the LDPC codeword. Some of the plurality of groups constituting the group may be interleaved in units of groups, and the remaining groups may be divided and interleaved. In this case, the bits included in the remaining group, that is, bits included in the remainder (reminder) when the number of groups constituting the LDPC codeword is divided by the number of columns are not interleaved in units of groups, but rather of columns. According to the number, each column may be divided and interleaved.

Specifically, the block interleaver 124 may interleave the LDPC codeword by dividing each of the plurality of columns into two parts.

In this case, the block interleaver 124 divides the plurality of columns into a first part and It can be divided into a second part.

Here, each of the plurality of groups may consist of 360 bits. The number of groups constituting the LDPC codeword is determined according to the length of the LDPC codeword and the number of bits included in each group. For example, if an LDPC codeword with a length of 16200 is divided so that each group consists of 360 bits, the LDPC codeword is divided into 45 groups, and an LDPC codeword with a length of 64800 is divided so that each group consists of 360 bits. The DPC codeword can be divided into 180 groups. In addition, the number of columns constituting the block interleaver 124 may be determined according to a modulation scheme, and a specific example related thereto will be described later.

Accordingly, the number of rows constituting each of the first part and the second part is based on the number of columns constituting the block interleaver 124, the number of groups constituting the LDPC codeword, and the number of bits constituting each of the plurality of groups can be determined by

Specifically, in each of the plurality of columns, the first part includes a plurality of columns constituting the LDPC codeword according to the number of columns constituting the block interleaver 124, the number of groups constituting the LDPC codeword, and the number of bits constituting each group. Each of the plurality of columns among the groups of , may be composed of as many rows as the number of bits included in at least one group that can be written in a group unit.

In addition, the second part may be composed of rows in each of the plurality of columns, excluding the number of rows corresponding to the number of bits included in at least some groups that can be written to each of the plurality of columns in a group unit. have. Specifically, the number of rows of the second part may have the same value as the quotient obtained by dividing the number of bits included in all bit groups except for the group corresponding to the first part by the number of columns constituting the block interleaver 124. . That is, the number of rows of the second part may have the same value as the quotient obtained by dividing the number of bits included in the remaining groups after being written in the first part among groups constituting the LDPC codeword by the number of columns.

On the other hand, the block interleaver 124 divides each of the plurality of columns into a first part including rows corresponding to the number of bits included in a group writable in groups in each column and a second part including the remaining rows. Each column can be identified.

Accordingly, the first part may be composed of as many rows as the number of bits included in the group, that is, an integer multiple of M. However, as described above, in that the number of codeword bits constituting each group can be a divisor of M, the first part may consist of rows as many as integer multiples of the number of bits constituting each group. have.

In this case, the block interleaver 124 may perform interleaving by writing and reading the LDPC codeword in the first part and the second part in the same manner.

Specifically, the block interleaver 124 writes the LDPC codeword to a plurality of columns constituting each of the first part and the second part in the column direction, and a plurality of the LDPC codewords constituting the written first part and the second part, respectively. Interleaving may be performed by reading the columns of .

That is, the block interleaver 124 sequentially writes bits included in at least some groups that can be written in a group unit in each of the plurality of columns to each of the plurality of columns constituting the first part, and at least some of the bits in the plurality of groups are written. Bits included in the remaining groups except for the group are divided and written to each of a plurality of columns constituting the second part in the column direction, and bits written to each of a plurality of columns constituting each of the first part and the second part are arranged in a row direction to perform interleaving.

In this case, the block interleaver 124 may perform interleaving by dividing the remaining groups excluding at least some groups from the plurality of groups based on the number of columns constituting the block interleaver 124 .

Specifically, the block interleaver 124 divides bits included in the remaining group into a plurality of columns, writes each of the divided bits in a column direction to each of a plurality of columns constituting the second part, and divides the divided bits Interleaving may be performed by reading a plurality of columns constituting the written second part in a row direction.

That is, the block interleaver 124 divides the number of groups constituting the LDPC codeword by the number of columns remaining after being written to the first part among the plurality of groups constituting the LDPC codeword, that is, the remaining group (remainer). Bits included in the group of ? may be divided by the number of columns, and the divided bits may be sequentially written to each column of the second part in the column direction.

For example, it is assumed that the block interleaver 124 is configured with C columns each including R ₁ rows. In addition, it is assumed that the LDPC codeword consists of Y _groups , the number of groups Y _group is not a multiple of C, and A×C+1=Y _group (A is an integer greater than 0). That is, when the number of groups constituting the LDPC codeword is divided by the number of columns, it is assumed that the quotient is A and the remainder is 1.

In this case, the block interleaver 124 may be divided into a first part in which each column includes R ₁ rows and a second part in which each column includes R ₂ rows as shown in FIGS. 9 and 10 . In this case, R ₁ may be as much as the number of bits included in a group that can be written to each column in a group unit, and R ₂ may be a value excluding R ₁ from the number of rows constituting each column.

That is, in the above-described example, the number of groups that can be written to each column in a group unit is A, and the first part of each column may include the number of bits included in the A groups, that is, A×M rows.

In this case, the block interleaver 124 writes the bits included in the group writeable in each column in a group unit, that is, the A groups, to the first part of each column in the column direction.

That is, as shown in FIGS. 9 and 10 , the block interleaver 124 includes a group (Y ₀ ), _{a group (Y 1 )} , ..., The bits included in each group (Y _{n -1} ) are written, and the group (Y _n ), the group (Y _{n +1} ), and the 1st row to the R _1st row constituting the first part of the second column. .., writes the bits included in each group (Y _{m -1} ), ..., from the 1st row constituting the first part of the C column to the R _1st row of the group (Y _e ), group ( Writes bits included in each of Y _{e +1} ), ..., and a group (Y _{Ngroup -2} ).

As described above, the block interleaver 124 writes bits included in a group that can be written in each column in a group unit to the first part of each column in a group unit.

That is, in the above example, the bits included in each of the group (Y ₀ ), the group (Y ₁ ), ..., the group (Y _{n -1} ) are not divided and all are written to the first column, and the group (Y _n ), the group (Y _{n +1} ),..., the bits included in each of the group (Y _{m -1} ) are not divided and all are written to the second column,..., the group (Y _e ), the group Bits included in each of (Y _{e +1} ), ..., and the group (Y _{Ngroup -2} ) are not divided and all may be written to the C-th column. In this way, all groups interleaved by the first part can be regarded as bits included in the same group being written to the same column of the first part.

Thereafter, the block interleaver 124 may divide bits included in the remaining groups except for the group written in the first part of each column among the plurality of groups and write the bits included in the group to the second part of each column in the column direction. At this time, the block interleaver 124 divides the bits included in the remaining groups except for the group written in the first part of each column into the number of columns so that the same number of bits are written to the second part of each column, and each divided bit can be written to each column of the second part in the column direction.

Here, each of the divided bits based on the number of columns may be referred to as a sub bit group, and in this case, each of the sub bit groups may be considered to be written in each column of the second part.

Since A×C+1=Y _group is satisfied in the above example, when the groups constituting the LDPC codeword are sequentially written to the first part, the last group of the LDPC codeword (Y _Ngroup-1 ) is the first Part 1 will not be lit and will remain. Accordingly, the block interleaver 124 divides the bits included in the group (Y _{Ngroup -1} ) into C pieces as shown in FIG. 9 , and each of the divided bits (ie, the bits included in the last group (Y _{Ngroup -1} )) (bits as many as the quotient of dividing them by C) may be sequentially written to the second part of each column.

Here, each of the divided bits based on the number of columns may be referred to as a sub-bit group, and in this case, each of the sub-bit groups may be regarded as being written to each column of the second part. That is, bits included in the bit group may be divided to form a sub-bit group.

That is, the block interleaver 124 writes bits from the first row to the R2nd row constituting the _second part of the first column, and the first row to the R2nd row constituting the second part of the _second column Bits can be written up to ..., and bits can be written from the 1st row to the R _2nd row constituting the second part of the C-th column. In this case, the block interleaver 124 may write bits to the second part of each column in the column direction as shown in FIG. 9 .

That is, in the second part, the bits constituting the bit group may not be written to the same column, but may be written to a plurality of columns. That is, in the above example, since the last group Y _{Ngroup -1} is composed of M bits, the bits included in the last group Y _{Ngroup -1} may be divided by M/C and written to each column. . That is, bits included in the last group (Y _{Ngroup -1} ) are divided by M/C, and each divided M/C forms a sub-bit group, and each sub-bit group may be written in each column of the second part. .

Accordingly, the at least one group interleaved by the second part may be considered that bits included in the at least one group are divided and written in at least two columns constituting the second part.

Meanwhile, in the above example, it has been described that the block interleaver 124 writes bits in the column direction to the second part, but this is only an example. That is, the block interleaver 124 may write bits to a plurality of columns of the second part in a row direction. In this case, the block interleaver 124 may write bits to the first part in the same manner as described above.

Specifically, referring to FIG. 10 , the block interleaver 124 writes bits from the first row constituting the second part in the first column to the first row constituting the second part in the C-th column, and the first column Writes bits from the second row constituting the second part to the second row constituting the second part in the C column, ..., R constituting the second part in the first column, from the _second row to the second row Bits may be written from the C column to the R ₂ nd row constituting the second part.

Meanwhile, the block interleaver 124 sequentially reads bits written in each row of each part in a row direction. That is, the block interleaver 124 sequentially reads bits written in each row of the first part of a plurality of columns in a row direction as shown in FIGS. 9 and 10 , and bits written in each row of the second part of a plurality of columns may be sequentially read in the row direction.

Accordingly, the block interleaver 124 may perform interleaving by interleaving some of the plurality of groups constituting the LDPC codeword in group units and dividing the remaining portions. That is, the block interleaver 124 writes the LDPC codewords constituting a predetermined number of groups among the plurality of groups in a group unit to a plurality of columns constituting the first part, and writes the LDPC codewords constituting the remaining groups to the second part. Interleaving may be performed by dividing and writing columns constituting the part, and reading a plurality of columns constituting the first and second parts in a row direction.

As such, the block interleaver 124 may interleave a plurality of groups using the method described with reference to FIGS. 8 to 10 .

In particular, in the case of FIG. 9 , in that the bits included in the group not belonging to the first part are written in the column direction and read in the row direction in the second part, the order of the bits included in the group not belonging to the first part is rearranged can be As described above, in that bits included in the group not belonging to the first part are interleaved, bit error rate (BER)/frame error rate (FER) performance may be improved compared to a case in which interleaving is not performed.

However, as shown in FIG. 10 , groups not belonging to the first part may not be interleaved. That is, in that the block interleaver 124 writes and reads bits included in the group not belonging to the first part to the second part in the row direction as shown in FIG. 10 , the bits included in the group not belonging to the first part are The order may be sequentially output to the modulator 130 without being changed. In this case, bits included in a group not belonging to the first part may be sequentially output and mapped to a modulation symbol.

Meanwhile, in FIGS. 9 and 10 , it has been described that the last one group among the plurality of groups is written to the second part, but this is only an example, and the number of groups written in the second part is the number of groups constituting the LDPC codeword. Of course, it can be variously changed according to the total number of , the number of columns and rows, and the number of transmit antennas.

Meanwhile, the block interleaver 124 may have a different structure depending on whether bits included in the same group are mapped to one bit in a modulation symbol or bits included in the same group are mapped to two bits in a modulation symbol. .

On the other hand, in the case of a transmission/reception system using a plurality of antennas, the number of columns constituting the block interleaver 124 may be determined by simultaneously considering the number of bits constituting the modulation symbol and the number of antennas used. For example, bits included in the same group are mapped to one bit in a modulation symbol, and in the case of a system using two antennas, the block interleaver 124 divides the number of columns into two multiples of the number of bits constituting the modulation symbol. can decide

First, when bits included in the same group are mapped to one bit in a modulation symbol, the block interleaver 124 may have a structure as shown in Tables 44 and 45 below.

Here, C (or N _c ) is the number of columns constituting the block interleaver 124 , R ₁ is the number of rows constituting the first part in each column, and R ₂ is the second part constituting the second part in each column is the number of rows

Referring to Tables 44 and 45, the number of the plurality of columns has the same value as the modulation order according to the modulation method, and each of the plurality of columns has the same number of rows as the number of bits constituting the LDPC codeword divided by the number of columns. It can be seen that it consists of

For example, when the length of the LDPC codeword is Nldpc=64800 and modulation is performed in the 16-QAM method, the modulation order is 4 in the case of 16-QAM, so the block interleaver 124 is composed of 4 columns, and each column is It can be seen that it is composed of R1+R2=16200 (=64800/4) rows.

Meanwhile, referring to Tables 44 and 45, when the number of groups constituting the LDPC codeword is an integer multiple of the number of columns, the block interleaver 124 performs interleaving without distinguishing _each column. It becomes the number of rows constituting a column, and R ₂ =0. Also, when the number of groups constituting the LDPC codeword is not an integer multiple of the number of columns, the block interleaver 124 divides each column into a first part composed of R ₁ rows and a second part composed of R ₂ rows. Interleaving is performed by dividing into parts.

Meanwhile, as shown in Tables 44 and 45, when the number of columns of the block interleaver 124 is the same as the number of bits constituting the modulation symbol, bits included in the same group may be mapped to one bit in the modulation symbol.

For example, when N _ldpc = 64800 and the modulation scheme is 16-QAM, the block interleaver 124 may be configured with 4 columns each including 16200 rows. In this case, a plurality of groups are written to four columns in a group unit, and bits written to the same row in each column are sequentially output. At this time, in that 4 bits constitute one modulation symbol when the modulation method is 16-QAM, bits included in the same group, that is, bits output from one column may be mapped to one bit in the modulation symbol. have. For example, bits included in the group written in the first column may be mapped to the first bit of each modulation symbol.

Meanwhile, when bits included in the same group are mapped to two bits in a modulation symbol, the block interleaver 124 may have a structure as shown in Tables 46 and 47 below.

Here, C (or N _c ) is the number of columns constituting the block interleaver 124 , R ₁ is the number of rows constituting the first part in each column, and R ₂ is the second part constituting the second part in each column is the number of rows

Referring to Tables 46 and 47, when the number of groups constituting the LDPC codeword is an integer multiple of the number of columns, the block interleaver 124 performs interleaving without distinguishing each column, in that R ₁ constitutes each column. It becomes the number of rows to do, and R ₂ =0. Also, when the number of groups constituting the LDPC codeword is not an integer multiple of the number of columns, the block interleaver 124 divides each column into a first part composed of R ₁ rows and a second part composed of R ₂ rows. Interleaving is performed by dividing into parts.

As shown in Tables 46 and 47, when the number of columns of the block interleaver 124 is half the number of bits constituting the modulation symbol, bits included in the same group may be mapped to two bits in the modulation symbol.

For example, when N _ldpc = 64800 and the modulation scheme is 16-QAM, the block interleaver 124 may be configured with two columns each including 32400 rows. In this case, a plurality of groups are written to two columns in a group unit, and bits written to the same row in each column are sequentially output. Meanwhile, when the modulation scheme is 16-QAM, in that 4 bits constitute one modulation symbol, bits output from two rows constitute one modulation symbol. Accordingly, bits included in the same group, that is, bits output from one column may be mapped to two bits in a modulation symbol. For example, bits included in the group written in the first column may be mapped to bits existing at two arbitrary positions in the modulation symbol.

Meanwhile, referring to Tables 44 to 47, it can be seen that the total number of rows of the block interleaver 124, that is, R ₁ +R ₂ is N _ldpc /C.

이고, 제2 파트의 행의 개수인 R₂는 N_ldpc/C-R₁이 될 수 있다. 여기에서,

는 N_group/C 이하의 가장 큰 정수를 나타낸다. 이와 같이, R₁은 각 그룹에 포함된 비트의 개수인 M의 정수 배가 된다는 점에서 R₁에는 그룹 단위의 비트들이 라이트될 수 있다. And, R ₁ , which is the number of rows of the first part, is an integer multiple of M (eg, M=360), which is the number of bits included in each group.

, and R ₂ , which is the number of rows of the second part, may be N _ldpc /CR ₁ . From here,

represents the largest integer less than or equal to N _group /C. As described above, since R ₁ is an integer multiple of M, which is the number of bits included in each group, bits in a group unit may be written to R ₁ .

In addition, referring to Tables 44 to 47, when the number of groups constituting the LDPC codeword is not a multiple of the number of columns, the block interleaver 124 divides each column into two parts to perform interleaving. can

Specifically, a value obtained by dividing the length of the LDPC codeword by the number of columns becomes the total number of rows included in each column. In this case, when the number of groups constituting the LDPC codeword is a multiple of the number of columns, each column is not divided into two parts. However, when the number of groups constituting the LDPC codeword is not a multiple of the number of columns, each column may be divided into two parts.

For example, as shown in Table 44, it is assumed that the number of columns of the block interleaver 124 is the same as the number of bits constituting the modulation symbol and the LDPC codeword is composed of 64800 bits. In this case, each group constituting the LDPC codeword consists of 360 bits, and the LDPC codeword consists of 64800/360=180 groups.

Meanwhile, when the modulation scheme is 16-QAM, the block interleaver 124 may be configured with 4 columns, and each column may be configured with 64800/4=16200 rows.

In this case, since the value obtained by dividing the number of groups constituting the LDPC codeword by the number of columns is 180/4=45, bits can be written to each column in groups without dividing each column into two parts. That is, bits included in 45 groups that are the quotient of dividing the number of groups constituting the LDPC codeword by the number of columns, that is, 45×360=16200 bits, may be written to each column.

However, when the modulation method is 256-QAM, the block interleaver 124 may consist of 8 columns, and each column may consist of 64800/8=8100 rows.

In this case, since the value obtained by dividing the number of groups constituting the LDPC codeword by the number of columns is 180/8=22.5, the number of groups constituting the LDPC codeword is not an integer multiple of the number of columns. Accordingly, the block interleaver 124 divides each of the eight columns into two parts in order to perform interleaving on a group basis.

At this time, since bits must be written to the first part of each column in a group unit, the number of groups that can be written in a group unit to the first part of each column is determined by dividing the number of groups constituting the LDPC codeword by the number of columns. The quotient is 22, and accordingly, the first part of each column may consist of 22×360=7920 rows. Accordingly, 7920 bits included in 22 groups may be written to the first part of each column.

Meanwhile, the second part of each column is constituted by rows excluding the rows constituting the first part from all rows of each column. Accordingly, the second part of each column may consist of 8100-7920=180 rows.

In this case, bits included in the remaining groups that are not written in the first part may be divided and written in the second part of each column.

Specifically, since 22×8=176 groups are written in the first part, the number of groups written in the second part is 180-176=4 (eg, groups (Y ₀ ) constituting the LDPC codeword, groups (Y ₁ ), group (Y ₂ ),..., group (Y ₁₇₈ ), group (Y ₁₇₉ ) of group (Y ₁₇₆ ), group (Y ₁₇₇ ), group (Y ₁₇₈ ), group (Y ₁₇₉ ) can be).

Accordingly, the block interleaver 124 may write the remaining four groups sequentially to the second part of each column after the block interleaver 124 writes the first part among the groups constituting the LDPC codeword.

That is, the block interleaver 124 writes 180 bits out of 360 bits included in the group Y ₁₇₆ in the column direction from the first row to the 180th row of the second part of the first column, and writes the remaining 180 bits. From the first row to the 180th row of the second part in the second column, light can be written in the column direction. Then, the block interleaver 124 writes 180 bits out of 360 bits included in the group Y ₁₇₇ in the column direction from the first row to the 180th row of the second part of the third column, and writes the remaining 180 bits. From the first row to the 180th row of the second part of the fourth column, light can be written in the column direction. Then, the block interleaver 124 writes 180 bits out of 360 bits included in the group Y ₁₇₈ in the column direction from the first row to the 180th row of the second part of the fifth column, and writes the remaining 180 bits. From the 1st row to the 180th row of the 2nd part of the 6th column, it is possible to write in the column direction. Then, the block interleaver 124 writes 180 bits out of 360 bits included in the group Y ₁₇₉ in the column direction from the 1st row to the 180th row of the second part of the 7th column, and writes the remaining 180 bits. From the first row to the 180th row of the second part of the eighth column, light can be written in the column direction.

Accordingly, bits included in the group remaining after being written in the first part may not be written in the same column in the second part, but may be divided and written in a plurality of columns.

Hereinafter, a specific example of the block interleaver of FIG. 4 will be described in more detail with reference to FIG. 11 .

)는 V={Y₀,Y₁,…,

}과 같이 Y_j가 연속적으로 배치될 수 있다. Group interleaved LDPC codewords (v ₀ ,v ₁ ,…,

) is V={Y ₀ ,Y ₁ ,… ,

}, Y _j may be continuously arranged.

After group interleaving, the LDPC codewords may be interleaved by the block interleaver 124 as shown in FIG. 11 . In this case, the block interleaver 124 may divide the plurality of columns into a first part and a second part based on the number of columns constituting the block interleaver 124 and the number of bits in the group. In this case, in the first part, bits constituting the group may be written to the same column, and in the second part, bits constituting the group may be written to a plurality of columns.

Specifically, the input bit v _i is sequentially written from the first part to the second part in the column wise direction, and sequentially from the first part to the second part in the row wise direction. lead Accordingly, bits included in the same group in the first part may be mapped to one bit in each modulation symbol.

)은 360의 배수이므로, 복수의 비트 그룹이 제1 파트에 라이트될 수 있다. In this case, the number of columns and the number of rows of the first part and the second part of the block interleaver 124 according to the modulation scheme and the length (ie, code length) of the LDPC codeword may be as shown in Table 48 below. Here, the number of columns of the block interleaver 124 may be the same as the number of bits constituting the modulation symbol. And, the sum of N _r1 as the number of rows of the first part and N _r2 as the number of rows in the second part is equal to N _ldpc /N _c (where N _c is the number of columns). And, N _r1 (=

) is a multiple of 360, so a plurality of bit groups can be written to the first part.

Hereinafter, the operation of the block interleaver 124 will be described in more detail.

, r_i=(i mod N_r1)와 같다.Specifically, as shown in FIG. 11 , the input bit _vi (0≤i<N _c ×N _{r1 )} is written to the ri row of the c _i column of the first part of the block interleaver 124 . where c _i and r _i are each

, r _i =(i mod N _r1 ).

, r_i=N_r1+{(i-N_c×N_r1) mod N_r2}와 같다.Then, the input bit v _i (N _c ×N _r1 ≤ i<N _ldpc ) is written to the r _i row of the c _i column of the second part of the block interleaver 124 . where c _i and r _i are each

, r _i =N _r1 + {(iN _c ×N _r1 ) mod N _r2 }.

, c_j=(j mod N_c)와 같다.On the other hand, the output bit q _j (0≤j<N _ldpc ) is read from the c _j column of the r _j row. where c _j and r _j are each

, equal to c _j =(j mod N _c ).

For example, when the length N ldpc of the _LDPC codeword is 64800 and the modulation method is 256-QAM, the order of bits output from the block interleaver 124 is (q ₀ , q ₁ , q ₂ ,..., q ₆₃₃₅₇ ,q ₆₃₃₅₈ ,q ₆₃₃₅₉ ,q ₆₃₃₆₀ ,q ₆₃₃₆₁ ,...,q ₆₄₇₉₉ )= (v ₀ ,v ₇₉₂₀ ,v ₁₅₈₄₀ ,...,v ₄₇₅₁₉ ,v ₅₅₄₃₉ ,v ₆₃₃₅₉ ,v ₆₃₃₆₀ ,v ₆₃₅₄₀ ,...,v ₆₄₇₉₉ ). Here, if the index in the right term is expressed in more detail for all eight columns, 0, 7920, 15840, 23760, 31680, 39600, 47520, 55440, 1, 7921, 15841, 23761, 31681, 39601, 47521, 55441, ... … , 7919, 15839, 23759, 31679, 39599, 47519, 55439, 63359, 63360, 63540, 63720, 63900, 64080, 64260, 64440, 64620, ... … , 63539, 63719, 63899, 64079, 64259, 64439, 64619, 64799.

Meanwhile, in the above example, it has been described that the number of columns constituting the block interleaver 124 has the same value as the modulation order or has the same value as half the modulation order, but this is only an example, and the block interleaver 124 is The number of constituting columns may be a multiple value of the modulation order. In this case, the number of rows constituting each column may be a value obtained by dividing the length of the LDPC codeword by the number of columns.

For example, when the modulation scheme is QPSK (ie, the modulation order is 2), the number of columns constituting the block interleaver 124 may be 4 instead of 2. In this case, when the length Nldpc of the LDPC codeword is 16200, the number of rows constituting each column may be 4050 (=16200/4).

Meanwhile, the block interleaver 124 performs interleaving in the same manner as when the number of columns has a value equal to the modulation order or equal to half the modulation order even when the number of columns has a multiple of the modulation order. In that it is possible, a detailed description thereof will be omitted.

In this case, since the number of columns constituting the block interleaver 124 has the same value as the modulation order or may be an integer multiple of the modulation order, the number of rows of the second part is the number of rows except for the group corresponding to the first part. It may have a value equal to a quotient obtained by dividing the number of bits included in all bit groups by a modulation order or a multiple of the modulation order.

Returning to FIG. 1 , the modulator 130 modulates the interleaved LDPC codeword according to a modulation method to generate a modulation symbol. Specifically, the modulator 130 may generate a modulation symbol by demultiplexing the interleaved LDPC codeword, modulating the demultiplexed LDPC codeword, and mapping the demultiplexed LDPC codeword to a constellation.

In this case, the modulator 130 may generate a modulation symbol using bits included in each of the plurality of groups.

That is, as described above, bits included in different groups are written to each column of the block interleaver 124 , and the block interleaver 124 reads bits written to each column in the row direction. In this case, the modulator 130 generates a modulation symbol by mapping the bits read from each column of the block interleaver 124 to each bit of the modulation symbol. Accordingly, each bit of the modulation symbol may be a bit included in a different group.

For example, it is assumed that the modulation symbol consists of C bits. In this case, in that bits read from each row of C columns of the block interleaver 124 can be mapped to each bit of a modulation symbol, as a result, each bit of a modulation symbol composed of C bits is assigned to C different groups. It can be included bits.

Hereinafter, this will be described in more detail.

First, the modulator 130 may demultiplex the interleaved LDPC codeword. To this end, the modulator 130 may include a demultiplexer (not shown) for demultiplexing the interleaved LDPC codeword.

A demultiplexer (not shown) demultiplexes the interleaved LDPC codeword. Specifically, the demultiplexer (not shown) performs serial-to-parallel conversion on the interleaved LDPC codeword, and converts the interleaved LDPC codeword into a cell having a certain number of bits ( Alternatively, demultiplexing may be performed to a data cell.

For example, as shown in FIG. 12 , the demultiplexer (not shown) receives the LDPC codeword Q=(q ₀ , q ₁ , q ₂ ,...) output from the interleaver 120 and receives the input The LDPC codeword bits may be sequentially output to one of a plurality of substreams, and the input LDPC codeword bits may be converted into cells and output.

Here, the number of substreams N _substreams may be equal to the number of bits constituting the modulation symbol η _MOD , and the number of bits constituting the cell may be equal to N _ldpc /η _MOD . Meanwhile, the number of cells generated according to η _MOD according to the modulation method and the length N ldpc of the _LDPC codeword may be shown in Table 49 below.

Meanwhile, bits having the same index in each of the plurality of sub-streams may constitute the same cell. That is, in Fig. 12, each cell is (y _{0 ,0} ,y _{1 ,0} ,...,y _{η MOD -1,0} ), (y _0,1 ,y _1,1 ,..., y _{η MOD} ) It can be expressed as _-1,1 ),....

Meanwhile, a method of demultiplexing input LDPC codeword bits by a demultiplexer (not shown) may be various. That is, the demultiplexer (not shown) may change the order of the LDPC codeword bits and output them to each of the plurality of sub-streams, or may sequentially output them to each of the plurality of streams without changing the order of the LDPC codeword bits. Such an operation may be determined according to the number of columns used for interleaving in the block interleaver 124 .

Specifically, when the block interleaver 124 includes as many columns as half the number of bits constituting the modulation symbol, the demultiplexer (not shown) changes the order of the input LDPC codeword bits to each of the plurality of sub-streams. can be output, and an example of a method of changing the order is shown in Table 50 below.

For example, in Table 50, when the modulation scheme is 16-QAM, since the number of bits constituting a modulation symbol is 4 in the case of 16-QAM, the number of sub-streams is 4. In this case, the demultiplexer (not shown) outputs bits in which index i satisfies i mod 4 = 0 among sequentially input bits as the 0th sub-stream, and outputs bits in which index i satisfies i mod 4 = 1 Output to the second sub-stream, bits with index i satisfying i mod 4 = 2 are output as the first sub-stream, and bits with index i satisfying i mod 4 = 3 can be output as the third sub-stream. have.

Accordingly, the LDPC codeword bits (q ₀ ,q ₁ ,q ₂ ,...) input to the demultiplexer (not shown) are (y _{0 ,0} ,y _{1 ,0} ,y _{2 ,0} ,y _{3 , 0} )=(q ₀ ,q ₂ ,q ₁ ,q ₃ ), (y _0,1 ,y _1,1 ,y _2,1 ,y _3,1 )=(q ₄ ,q ₆ ,q ₅ ,q ₇ ),... can be output to cells such as .

On the other hand, when the block interleaver 124 includes the same number of columns as the number of bits constituting the modulation symbol, the demultiplexer (not shown) sequentially performs each of the plurality of streams without changing the order of the input LDPC codeword bits. can be printed on That is, as shown in FIG. 13, the demultiplexer (not shown) sequentially outputs the input LDPC codeword bits (q ₀ , q ₁ , q ₂ ,...) to each sub-stream, and accordingly, Each cell is (y _0,0 ,y _1,0 ,…,y _{η MOD -1,0} )=(q ₀ ,q ₁ ,…,q _{η MOD -1} ), (y _{0 ,1} ,y _{1 , 1} ,…,y _{η MOD -1,1} )=(q _{η MOD} ,q _{η MOD +1} ,…,q _{2 ×ηMOD-1} ),….

Meanwhile, in the above example, it has been described that the demultiplexer (not shown) sequentially outputs the input LDPC codeword bits to each of the plurality of streams without changing the order, but this is only an example. That is, according to an embodiment of the present invention, when the block interleaver 124 includes the same number of columns as the number of bits constituting the modulation symbol, the demultiplexer (not shown) may be omitted.

Meanwhile, the modulator 130 may map the demultiplexed LDPC codeword to the modulation symbol. However, when the demultiplexer (not shown) is omitted as described above, the modulator 130 may map the LDPC codeword bits output from the interleaver 120 , that is, the block interleaved LDPC codeword bits to the modulation symbol. have.

Specifically, the modulator 130 modulates bits (ie, cells) output from the demultiplexer (not shown) in various modulations such as QPSK, 16-QAM, 64-QAM, 256-QAM, 1024-QAM, 4096-QAM, etc. It can be modulated using the method. Here, when the modulation schemes are QPSK, 16-QAM, 64-QAM, 256-QAM, 1024-QAM, and 4096-QAM, respectively, the number of bits constituting the modulation symbol η _MOD (that is, the modulation order) is 2 It can be ,4,6,8,10,12.

In this case, in that each cell output from the demultiplexer (not shown) consists of as many bits as the number of bits constituting the modulation symbol, the modulator 130 sequentially applies each cell output from the demultiplexer (not shown) to the constellation point. A modulation symbol may be generated by mapping. Here, the modulation symbol corresponds to a constellation point in the constellation.

However, when the demultiplexer (not shown) is omitted, the modulator 130 may sequentially divide the interleaved bits by a predetermined number of bits and map them to constellation points to generate a modulation symbol. In this case, the modulator 130 may generate a modulation symbol by sequentially using η _MOD bits according to a modulation method.

Meanwhile, the modulator 130 may perform modulation by mapping the cells output from the demultiplexer (not shown) to the voice points using a uniform constellation (UC) method.

Here, the uniform constellation method refers to a method of mapping a modulation symbol to a constellation point so that the real component Re(z _q ) and the imaginary component Im(z _q ) of the constellation point have symmetry and the modulation symbol is configured at equal intervals. Accordingly, at least two modulation symbols among the modulation symbols mapped to the constellation in the uniform constellation scheme may have the same demodulation performance.

Meanwhile, in an embodiment of the present invention, an example of a method of generating a modulation symbol using a uniform constellation method may be shown in Tables 51 to 58 below, and an example of a case of uniform constellation 64-QAM is shown in FIG. 14 . shown.

Here, Tables 51 and 52 are used to determine the real component Re(z _q ) and the imaginary component Im(z _q ) when modulation is performed in the QPSK method, respectively, and Table 53 and Table 54 are respectively 16- It is used to determine the real component Re(z _q ) and the imaginary component Im(z _q ) in the case of performing modulation in the QAM method, and Tables 55 and 56 show the real component in the case of performing modulation in the 64-QAM method. It is used to determine Re(z _q ) and the imaginary component Im(z _q ), and Tables 57 and 58 show the real component Re(z _q ) and the imaginary component Im(z) _q ) is used to determine

Referring to Tables 51 to 58 described above, performance (eg, reliability) varies depending on whether a plurality of bits constituting a modulation symbol correspond to a most significant byte (MSB) and a least significant bit (LSB). Able to know.

For example, in the case of 16-QAM, the first bit and the second bit among the four bits constituting the modulation symbol are the real component Re(z _q ) and the imaginary component Im(z) of the constellation point to which the modulation symbol is mapped. _q ) bits that determine each sign, and the third and fourth bits are bits that determine the size of a constellation point to which a modulation symbol is mapped.

In this case, it can be seen that reliability is higher than the first bit and the second bit, which are bits determining the size, of the four bits constituting the modulation symbol, and the third bit and the fourth bit, which are bits that determine the size.

As another example, in the case of 64-QAM, the first bit and the second bit among the six bits constituting the modulation symbol are the real component Re(zq) and the imaginary component Im(zq) of the constellation point to which the modulation symbol is mapped, respectively. bits that determine the sign of And, the third to sixth bits are bits that determine the size of the constellation point to which the modulation symbol is mapped, among which the third and fourth bits determine relatively large sizes, and the fifth and sixth bits determines a relatively small size (for example, whether the size of a constellation point to which a modulation symbol is mapped by the third bit belongs to (-7, -5) or (-3, -1) is determined, If (-7, -5) is determined by the third bit, the fourth bit determines whether it is -7 or -5).

In this case, among the six bits constituting the modulation symbol, the first bit and the second, which are bits determining the sign, have the highest reliability, and the third and fourth bits, which are bits that determine a relatively large size, are relatively It can be seen that the reliability is higher than the fifth and sixth bits, which are bits that determine the small size.

As such, in the case of the uniform constellation method, each bit constituting the modulation symbol may have different reliability according to a mapped position within the modulation symbol.

Meanwhile, the modulator 130 may perform modulation by mapping cells output from a demultiplexer (not shown) to voice points using a non-uniform constellation (NUC) method.

Specifically, the modulator 130 converts bits output from the demultiplexer (not shown) to non-uniform 16-QAM, non-uniform 64-QAM, non-uniform 256-QAM, non-uniform 1024-QAM, non-uniform It can be modulated using various modulation schemes such as 4096-QAM.

Hereinafter, a method of generating a modulation symbol using a non uniform constellation method according to an embodiment of the present invention will be described.

First, the characteristics of the non uniform constellation method are briefly described as follows.

Unlike the uniform constellation method, the constellation points may not be regularly arranged in the non uniform constellation method. Therefore, when the non-uniform constellation method is used, the performance for SNR below a specific value can be improved and a high SNR gain can be obtained compared to the uniform constellation method.

Meanwhile, a characteristic of the constellation may be determined by one or more parameters such as an interval between constellation points. Since the constellation points in the uniform constellation method are regularly distributed, the number of parameters required to specify the uniform constellation method may be 1. On the other hand, in the case of the non uniform constellation method, the number of parameters required to specify the non uniform constellation method It is relatively large, and the number of parameters may increase as the constellation degree (eg, the number of constellation points) increases.

Meanwhile, in the case of non-uniform constellation, the x-axis and the y-axis may be designed to be symmetric, or may be designed to be non-symmetric. A non-symmetric design can guarantee better performance, but may increase decoding complexity.

Hereinafter, an example of a non-symmetric design will be presented. In this case, if only the constellation points in the first quadrant are defined, the positions of the constellation points in the other third quadrant may be determined by the following method. For example, assuming that the set of constellation points defined for the first quadrant is X, in the second quadrant, -conj(X), in the third quadrant, conj(X), and in the fourth quadrant, -(X). .

That is, if the first quadrant is defined, the other quadrant may be expressed as follows.

1 Quarter = X

2 Quarter (2 quadrants) = -conj(X)

3 Quarter = conj(X)

4 Quarter = -X

Specifically, when non-uniform M-QAM is used, M constellation points can be defined as z={z ₀ , z ₁ ,..., z _{M -1} }. At this time, the constellation points existing in the first quadrant are {x ₀ , x ₁ , x ₂ , … , x _{M /4-1} }, z can be defined as follows.

z ₀ to z _{M /4-1} = x ₀ to x _{M /4}

z _{M /4} to z _{2 ×M/4-1} = -conj(x ₀ to x _{M /4} )

z _{2 ×M/4} to z _{3 ×M/4-1} = conj(x ₀ to x _{M /4} )

z _{3 ×M/4} to z _{4 ×M/4-1} = -(x ₀ to x _{M /4} )

을 인덱스로 하는 z_L로 매핑하여, 출력 비트들을 non-uniform constellation 방식으로 성성점에 맵핑할 수 있다. 이러한 방식에 따라 non-uniform constellation 방식에 따른 성상도의 일 예는 도 15 내지 도 19와 같다.Accordingly, the modulator 130 is an output bit output from the demultiplexer (not shown) [y ₀ , ... ,y _{m -1} ]

By mapping to z _L with , as an index, output bits can be mapped to stellate points in a non-uniform constellation manner. According to this method, an example of a constellation according to the non-uniform constellation method is shown in FIGS. 15 to 19 .

Meanwhile, an example of a specific method for performing modulation in a non-uniform constellation method in a non-symmetrical manner in the modulator 130 is shown in Tables 59 to 64 below. That is, according to an embodiment of the present invention, constellation points existing in the first quadrant are defined through Tables 59 to 64, and constellation points existing in the remaining quadrants are defined by the above-described method, in a non-uniform constellation method. modulation can be performed.

In these Tables 59 to 64, Table 59 shows non-uniform 16-QAM, Table 60 to Table 62 shows non-uniform 64-QAM, and Table 63 and Table 64 shows non-uniform 256-QAM, according to the code rate. It can be seen that different mapping methods can be applied.

On the other hand, when non-uniform constellation is designed symmetrically on the x-axis and y-axis, it can be expressed similarly to uniform QAM, and an example is shown in Tables 65 to 68 below.

In Tables 65 to 68, Tables 65 and 66 are tables for determining the real component Re(z _q ) and the imaginary component Im(z _q ) when modulation is performed in the non-uniform 1024-QAM method. That is, Table 65 shows the real part of 1024-QAM, and Table 66 shows the imaginary part of 1024-QAM. In addition, Tables 67 and 68 show an example of a case in which modulation is performed in a non-uniform 1024-QAM scheme, and the values of x _i in Tables 65 and 66 are shown.

As described above, in the non-uniform constellation scheme, in that modulation symbols can be mapped to constellation points not symmetrically, modulation symbols mapped to constellation points can have different demodulation performance. That is, bits constituting the modulation symbol may have different performances.

For example, referring to FIG. 15 showing an example of a case in which modulation is performed in a non-uniform 64-QAM scheme, the modulation symbol 10 is (y ₀ ,y ₁ ,y ₂ ,y ₃ ,y ₄ , y ₅ ) may be configured as = (0,0,1,0,1,0), and the performance (eg, capacity) of bits constituting the modulation symbol 10 is C(y ₀ )>C(y ₁ ) )>C(y ₂ )>C(y ₃ )>C(y ₄ )>C(y ₅ ).

Meanwhile, in the uniform constellation method and in the non-uniform constellation method, the constellation may be rotated and/or scaled (herein, the scaling factors applied to the real axis and the imaginary axis may be the same or different from each other), and other deformations It is obvious that this can be applied. In addition, the illustrated constellations indicate the relative positions of constellation points, from which other constellations may be derived by rotation, scaling and/or other suitable transformations.

As such, the modulator 130 may map the modulation symbol to the constellation point using a uniform constellation method and a non-uniform constellation method. In this case, as described above, the performances of bits constituting the modulation symbol may be different from each other.

Meanwhile, LDPC codeword bits may have different codeword characteristics according to the structure of the parity check matrix. That is, LDPC codeword bits may have different codeword characteristics according to the number of 1s present in a column of the parity check matrix, that is, a column order.

Accordingly, in the present invention, the interleaver 120 performs interleaving so that the LDPC codeword bits can be mapped to the modulation symbol in consideration of both the codeword characteristics of the LDPC codeword bits and the reliability of bits constituting the modulation symbol.

In particular, in the case of using non-uniform QAM, since the performances of bits constituting the modulation symbol are all different, the number of columns of the block interleaver 124 is configured to be the same as the number of bits constituting the modulation symbol, thereby configuring the LDPC codeword. It allows one of a plurality of groups to be mapped to a bit existing at the same position in each modulation symbol.

That is, when LDPC codeword bits with excellent decoding performance are mapped to bits with excellent reliability among bits constituting a modulation symbol, decoding performance may be excellent at the receiving end, but LDPC codeword bits with excellent decoding performance are received. There may be problems that cannot be achieved. And, when LDPC codeword bits with excellent decoding performance are mapped to bits with poor reliability among bits constituting the modulation symbol, the initial reception performance may be excellent and the overall performance may be excellent, but bits that are not well decoded If many are received, error propagation may occur.

Therefore, in the present invention, when mapping LDPC codeword bits to modulation symbols, LDPC codeword bits having specific codeword characteristics are selected by considering both the codeword characteristics of the LDPC codeword bits and the reliability of bits constituting the modulation symbol. It is mapped to a specific bit in the modulation symbol and transmitted to the receiving side. Accordingly, it is possible to achieve both excellent reception performance and decoding performance on the receiving side.

At this time, in the present invention, the LDPC codeword is divided into groups consisting of M (=360) bits each having the same codeword characteristic, and the bits are mapped to bits at a specific position of the modulation symbol in units of groups. It is possible to efficiently map bits having specific codeword characteristics to specific positions within a modulation symbol. Also, as described above, the number of bits constituting the group may be a factor of M. However, for convenience of description, the number of codeword bits constituting a group is limited to M.

That is, the modulator 130 may map at least one bit included in a preset group among a plurality of groups constituting the LDPC codeword to a preset bit in the modulation symbol. Here, each of the plurality of groups may consist of M (=360) bits.

For example, in the case of 16-QAM, at least one bit included in a preset group among a plurality of groups may be mapped to the first bit in the modulation symbol or may be mapped to the first bit and the second bit.

As described above, the reason why the modulator 130 can map at least one bit included in a preset group among a plurality of groups to a preset bit in a modulation symbol is as follows.

As described above, the block interleaver 124 interleaves a plurality of groups constituting the LDPC codeword in group units, the demultiplexer (not shown) demultiplexes bits output from the block interleaver 124, and the modulator ( 130 sequentially maps the demultiplexed bits (ie, cells) to a modulation symbol.

Accordingly, in the group interleaver 122 disposed before the block interleaver 124, in consideration of the demultiplexing operation performed by the demultiplexer (not shown), groups including bits to be mapped to bits at specific positions in the modulation symbol are grouped by the block interleaver 124 . ), the LDPC codewords are interleaved in groups so that they can be written to the same column.

Specifically, the group interleaver 122 rearranges the order of the plurality of groups in group units such that the arrangement units in which at least one group including bits mapped to the same position of different modulation symbols are arranged adjacent to each other are sequentially arranged. Thus, the block interleaver 124 may write a preset group to a preset column. That is, the group interleaver 122 interleaves a plurality of groups constituting the LDPC codeword in group units based on Tables 28 to 43 described above, and at least one including bits mapped to the same position of each modulation symbol, respectively. The groups are made to be adjacent to each other, and the block interleaver 124 performs interleaving by writing at least one adjacent group to the same column.

Accordingly, the modulator 130 may generate a modulation symbol by mapping bits output from a predetermined column of the block interleaver 124 to predetermined bits in the modulation symbol. In this case, the bits included in one group may be mapped to one bit among bits constituting the modulation symbol or may be mapped to two bits among bits constituting the modulation symbol.

For a more detailed description, a case in which an LDPC codeword having a length of 16200 is modulated by non-uniform 64-QAM will be described as an example.

The group interleaver 122 divides the LDPC codewords into 16200/360=45 groups, and interleaves a plurality of groups in group units.

In this case, the group interleaver 122 determines the number of groups that can be written to each column of the block interleaver 124 based on the number of columns of the block interleaver 124, and selects a plurality of groups based on the determined number of groups. Interleaving may be performed on a group basis.

Here, a group written to the same column in the block interleaver 124 is mapped to a specific one bit or two specific bits among bits constituting a modulation symbol according to the number of columns of the block interleaver 124, so the group interleaver 122 ) considers the bit property of the modulation symbol, and groups a plurality of groups so that groups including bits that need to be mapped to the corresponding bit are arranged adjacent to each other, and the arrangement units in which the corresponding groups are arranged adjacent to each other are sequentially arranged. interleaved with In this case, the group interleaver 122 may use Table 29 described above.

Accordingly, groups located adjacent to each other in the LDPC codeword interleaved on a group basis may be written to the same column of the block interleaver 124 , and bits written to the same column may be written to a specific one or a modulation symbol by the modulator 130 by the modulator 130 . It is mapped to two bits.

For example, it is assumed that the block interleaver 124 includes as many columns as the number of bits constituting the modulation symbol, that is, six columns. In this case, as shown in Table 44 or Table 48, each column of the block interleaver 124 may be divided into a first part including 2520 rows and a second part including 180 rows.

Accordingly, in the group interleaver 122, 2520/360=7 groups that are written to the first part of each column of the block interleaver 124 are adjacent to each other among the plurality of groups, and the group interleaver 122 is an arrangement unit including each of the 7 groups adjacent to each other. Group interleaving is performed so that s are sequentially arranged. Accordingly, the block interleaver 124 writes the first part of each column by 7 groups, divides the bits included in the remaining three groups, and writes the bits in the second part of each column.

Thereafter, the block interleaver 124 may read bits written in each row of the first part of the plurality of columns in the row direction, and may read bits written in each row of the second part of the plurality of columns in the row direction.

That is, the block interleaver 124 converts the bits written in each row of the plurality of columns from the bits written in the first row of the first column to the bits written in the first row of the sixth column (q ₀ , q ₁ , q). ₂ ,q ₃ ,q ₄ ,q ₅ ,q ₆ ,q ₇ ,q ₈ ,q ₉ ,q ₁₀ ,q ₁₁ ,... ) can be output sequentially.

In this case, when the demultiplexer (not shown) is not used or the demultiplexer (not shown) sequentially outputs the input bits without changing the order, the LDPC codeword bits (q ₀ , q ₁ ,q ₂ ,q ₃ ,q ₄ ,q ₅ ), (q ₆ ,q ₇ ,q ₈ ,q ₉ ,q ₁₀ ,q ₁₁ ),... are modulated by the modulator 130 . That is, the LDPC codeword bits output from the block interleaver 124 (q ₀ , q ₁ , q ₂ , q ₃ , q ₄ , q ₅ ), (q ₆ , q ₇ , q ₈ , q ₉ , q ₁₀ ) ,q ₁₁ ),... are the cells (y _{0 ,0} ,y _{1 ,0} ,…,y _{5 ,0} ), (y _{0 ,1} ,y _{1 ,1} ,…,y _{5 ,1} ), respectively. .., and the modulator 130 may generate modulation symbols by mapping cells to constellation points.

Accordingly, the modulator 130 may map the bits output from the same column of the block interleaver 124 to a specific one of bits constituting the modulation symbol. For example, the modulator 130 maps bits included in the group written in the first column in the block interleaver 124, that is, (q ₀ , q ₆ ,...) to the first bit in the modulation symbol. The bits written in the first column may be bits determined to be mapped to the first bit of each modulation symbol according to the codeword characteristics of the LDPC codeword bits and the reliability of bits constituting the modulation symbol.

As such, the group interleaver 122 divides a plurality of groups constituting the LDPC codeword in a group unit so that groups including a bit to be mapped to one bit at a specific position in the modulation symbol are written to a specific column of the block interleaver 124. can be interleaved.

Meanwhile, it is assumed that the block interleaver 124 includes as many columns as half the number of bits constituting the modulation symbol, that is, three columns. In this case, as shown in Table 47, parts are not divided in each column of the block interleaver 124, and 5400 bits can be written to each column.

Accordingly, the group interleaver 122 performs group interleaving such that 5400/360=15 groups written to each column of the block interleaver 124 are adjacent to each other among the plurality of groups, and the arrangement units of each of the 15 groups are sequentially arranged. carry out Accordingly, the block interleaver 124 may write to each column by 15 groups.

Thereafter, the block interleaver 124 may read bits written in each row of a plurality of columns in a row direction.

That is, the block interleaver 124 converts bits written in each row of a plurality of columns from bits written in the first row of the first column to bits written in the first row of the third column (q ₀ , q ₁ , q). ₂ ,q ₃ ,q ₄ ,q ₅ ,q ₆ ,q ₇ ,q ₈ ,q ₉ ,q ₁₀ ,q ₁₁ ,... ) can be output sequentially.

In this case, a demultiplexer (not shown) demultiplexes the LDPC codeword bits output from the block interleaver 124 based on Table 50 to demultiplex (y _{0 ,0} ,y _{1 ,0} ,...,y _{5 ,0} )=( q ₀ ,q ₂ ,q ₄ ,q ₁ ,q ₃ ,q ₅ ), (y _{0 ,1} ,y _{1 ,1} ,…,y _{5 ,1} )=(q ₆ ,q ₈ ,q ₁₀ ,q ₇ , q ₉ , q ₁₁ )... outputs cells, and the modulator 130 may generate a modulation symbol by mapping the cells to constellation points.

Accordingly, the modulator 130 may map the bits output from the same column of the block interleaver 124 to two specific bits among bits constituting the modulation symbol. For example, the modulator 130 may generate (q ₀ ,q) among the bits (q ₀ , q ₃ , q ₆ , q ₉ ,...) included in the group written in the first column of the block interleaver 124 . ₆ ,...) can be mapped to the first bit in the modulation symbol, and (q ₃ ,q ₉ ,...) can be mapped to the fifth bit in the modulation symbol, and the bits written in the first column are LDPC codewords. The bits may be determined to be mapped to the first bit and the fifth bit of each modulation symbol according to codeword characteristics of the bits and reliability of bits constituting the modulation symbol. Here, the first bit in the modulation symbol is a bit that determines the sign of the real component Re(z _q ) of the constellation point to which the modulation symbol is mapped, and the fifth bit in the modulation symbol is the relative value of the constellation point to which the modulation symbol is mapped. It is the bit that determines the small size.

As such, the group interleaver 122 divides a plurality of groups constituting the LDPC codeword in a group unit so that groups including bits to be mapped to two bits at a specific position in the modulation symbol are written to a specific column of the block interleaver 124. can be interleaved.

Hereinafter, the encoder 110 performs LDPC encoding at code rates of 10/15, 11/15, 12/15, and 13/15 to generate an LDPC codeword (N _ldpc = 16200) composed of 16200 bits, and modulates it. In the unit 130, it is assumed based on Table 59 that a non-uniform 16-QAM modulation scheme corresponding to a code rate is used.

The present invention will be described in more detail through specific examples.

For example, the encoder 110 performs LDPC encoding at code rates of 10/15, 11/15, 12/15, and 13/15 to generate an LDPC codeword (N _ldpc = 16200) composed of 16200 bits, Based on Table 59, it is assumed that the modulator 130 uses a non-uniform 16-QAM modulation scheme corresponding to a code rate.

In this case, the group interleaver 122 may perform group interleaving using Equation 11 and Table 28. Meanwhile, according to Table 44 or Table 48, the number of columns is 4, the number of rows of the first part is 3960 (=360×11), and the number of rows of the second part is 90. A block interleaver 124 is used. can

Accordingly, the 11 groups (X ₃₅ , X ₃₁ , X ₃₉ , X ₁₉ , X ₂₉ , X ₂₀ , X ₃₆ , X ₀ , X ₉ , X ₁₃ , X ₅ ) constituting the LDPC codeword are 124), entered in the first part of the first column of 11 groups (X ₃₇ , X ₁₇ , X ₄₃ , X ₂₁ , X ₄₁ , X ₂₅ , X ₁ , X ₃₃ , X ₂₄ , X ₁₂ , X ₃₀ ) This is input to the first part of the second column of the block interleaver 124 and contains 11 groups (X ₁₆ , X ₃₂ , X ₁₀ , X ₂₈ , X ₄ , X ₂₆ , X ₈ , X ₄₀ , X ₄₂ , X ₃ ) , X ₆ ) is input to the first part of the third column of the block interleaver 124 , and 11 groups (X ₂ , X ₃₈ , X ₁₄ , X ₃₄ , X ₂₂ , X ₁₈ , X ₂₇ , X ₂₃ , X ₇ , X ₁₁ , X ₁₅ ) are input to the first part of the fourth column of the block interleaver 124 .

Then, the group X ₄₄ is input to the second part of the block interleaver 124 . Specifically, the bits constituting the group X ₄₄ are sequentially input to the row of the first column of the second part, sequentially input to the row of the second column, sequentially input to the row of the third column, and finally the fourth They are entered sequentially in rows of columns. In this case, since the group X ₄₄ consists of 360 bits, 90 bits may be input to the second part of each column.

In addition, the block interleaver 124 may sequentially output bits input from the first row to the last row of each column, and the bits output from the block interleaver 124 may be sequentially inputted to the modulator 130 . . In this case, the demultiplexer (not shown) may be omitted or the demultiplexer (not shown) may sequentially output the input bits without changing the order of the bits.

Accordingly, one bit each included in each of the group X ₃₅ , the group X ₃₇ , the group X ₁₆ and the group X ₂ constitutes one modulation symbol.

According to an embodiment of the present invention, based on group interleaving and block interleaving, one bit included in each of group X ₃₅ , group X ₃₇ , group X ₁₆ and group X ₂ constitutes one modulation symbol. , in addition to the above-described methods, other methods in which one bit included in each of group X ₃₅ , group X ₃₇ , group X ₁₆ and group X ₂ constitute one modulation symbol may also be included within the scope of the present invention.

Meanwhile, when Equation 11 is used, π(j) values defined by Tables 28 to 35 are applied as the index of the input group, and when Equation 12 is used, π(j) values defined by Tables 36 to 43 In that they are applied as indexes of this output group, they are inverse to each other.

Meanwhile, the transmitting device 100 may modulate the signal mapped to the constellation and transmit it to the receiving device (eg, 2700 of FIG. 24 ). For example, the transmitter 100 may map a signal mapped to a constellation to an OFMD frame using an orthogonal frequency division multiplexing (OFDM) scheme, and transmit it to the receiver 2700 through an assigned channel.

To this end, the transmitter 100 includes a frame mapper (not shown) for mapping the signal mapped to the constellation to the OFDM frame, and a transmitter (not shown) for transmitting a signal in the form of an OFDM frame to the receiver 2700 , etc. may further include.

block- low interleaver when to use

In another embodiment of the present invention, the interleaver 120 interleaves the LDPC codeword through a method other than the above-described method, so that bits included in a preset group among a plurality of groups constituting the interleaved LDPC codeword are included in the modulation symbol. It may be mapped to a preset bit. For a detailed description, refer to FIG. 20 .

According to FIG. 20 , the interleaver 120 includes a parity interleaver 121 , a group interleaver (or a group-wise interleaver, 122 ), a group twist interleaver 123 , and a block-low interleaver 125 . do. Here, in that the parity interleaver 121 and the group twist interleaver 123 perform the same functions as those described above in Embodiment 1, detailed descriptions of these components will be omitted.

The group interleaver 122 may divide the parity-interleaved LDPC codeword into a plurality of groups and rearrange the order of the plurality of groups in units of groups.

In this case, since the operation of dividing the parity interleaved LDPC codeword into a plurality of groups is the same as in the above-described embodiment, a detailed description thereof will be omitted.

Meanwhile, the group interleaver 122 interleaves the LDPC codewords in units of groups. That is, the group interleaver 122 may rearrange the order of the plurality of groups in the LDPC codeword in units of groups by changing positions of the plurality of groups constituting the LDPC codeword.

Here, the group interleaver 122 may rearrange the order of the plurality of groups in units of groups so that groups including bits mapped to the same modulation symbol among the plurality of groups are sequentially arranged.

In this case, the group interleaver 122 is mapped to the same modulation symbol in consideration of the number of rows and columns constituting the block-row interleaver 124, the number of groups constituting the LDPC codeword, and the number of bits included in each group. The order of the plurality of groups may be rearranged in units of groups so that groups including bits to be used are sequentially arranged.

To this end, the group interleaver 122 may interleave the LDPC codewords in units of groups using Equation 13 below.

Here, X _j represents the j-th group before group interleaving, and Y _j represents the j-th group after group interleaving. In addition, π(j) is a parameter indicating an interleaving order and may be determined by at least one of a length of an LDPC codeword, a code rate, and a modulation scheme.

Accordingly, X _π(j) represents the π(j)-th group before group interleaving, and Equation 13 means that the π(j)-th group before interleaving is interleaved into the j-th group after interleaving.

Meanwhile, a specific example of π(j) according to an embodiment of the present invention may be defined as shown in Tables 69 to 76 below.

In this case, π(j) is defined according to the length and code rate of the LDPC codeword, and the parity check matrix is also defined according to the length and code rate of the LDPC codeword. Therefore, when LDPC encoding is performed based on a specific parity check matrix according to the length and code rate of the LDPC codeword, the LDPC codeword is grouped based on π(j) that satisfies the length and code rate of the LDPC codeword. can be interleaved.

For example, when the encoder 110 performs LDPC encoding at a code rate of 10/15 to generate an LDPC codeword having a length of 16200, the group interleaver 122 selects one of Tables 69 to 76 below. Interleaving can be performed using π(j), which has a length of 16200 and a code rate of 10/15 of an LDPC codeword.

For example, when the length of the LDPC codeword is 16200, the code rate is 10/15, and the modulation method is 16-QAM, the group interleaver 122 performs interleaving using π(j) defined as shown in Table 69. can do.

Meanwhile, a specific example of π(j) is as follows.

As an example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 16-QAM, π(j) is shown in Table 69 below. can be defined as

In the case of Table 69, Equation 13 is Y ₀ =X _π(0) =X ₇ , Y ₁ =X _π(1) =X ₄₂ , Y ₂ =X _π(2) =X ₃₇ ,..., Y It can be expressed as ₄₃ =X _π(43) =X ₁₃ , Y ₄₄ =X _π(44) =X ₄₄ . Accordingly, the group interleaver 122 assigns the 7th group to the 0th, the 42nd group to the 1st, the 37th group to the 2nd, ..., the 13th group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 64-QAM, π(j) is shown in Table 70 below can be defined as

In the case of Table 70, Equation 13 is Y ₀ =X _π(0) =X ₃₂ , Y ₁ =X _π(1) =X ₃₉ , Y ₂ =X _π(2) =X ₈ ,..., Y It can be expressed as ₄₃ =X _π(43) =X ₄₃ , Y ₄₄ =X _π(44) =X ₄₄ . Accordingly, the group interleaver 122 assigns the 32nd group to the 0th, the 39th group to the 1st, the 8th group to the 2nd, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 256-QAM, π(j) is shown in Table 71 below. can be defined as

In the case of Table 71, Equation 13 is Y ₀ =X _π(0) =X ₂₈ , Y ₁ =X _π(1) =X ₂₂ , Y ₂ =X _π(2) =X ₇ ,..., Y It can be expressed as ₄₃ =X _π(43) =X ₄₃ , Y ₄₄ =X _π(44) =X ₄₄ . Accordingly, the group interleaver 122 assigns the 28th group to the 0th, the 22nd group to the 1st, the 7th group to the 2nd, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 1024-QAM, π(j) is shown in Table 72 below can be defined as

In the case of Table 72, Equation 13 is Y ₀ =X _π(0) =X ₁₆ , Y ₁ =X _π(1) =X ₂₄ , Y ₂ =X _π(2) =X ₃₂ ,..., Y43 It can be expressed as =X _π(43) =X ₄₃ , Y ₄₄ =X _π(44) =X ₄₄ . Accordingly, the group interleaver 122 assigns the 16th group to the 0th, the 24th group to the 1st, the 32nd group to the 2nd, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 256-QAM, π(j) is shown in Table 73 below. can be defined as

In the case of Table 73, Equation 13 is Y ₀ =X _π(0) =X ₄₈ , Y ₁ =X _π(1) =X ₁₅₂ , Y ₂ =X _π(2) =X ₁₅₆ ,..., Y It can be expressed as ₁₇₈ =X _π(178) =X ₁₇₈ , Y ₁₇₉ =X _π(179) =X ₁₇₉ . Accordingly, the group interleaver 122 sets the 48th group as the 0th, the 152th group as the 1st, the 156th group as the 2nd, ..., the 178th group as the 178th, and the 179th group as 179th. Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 16-QAM, π(j) is shown in Table 74 below. can be defined as

In the case of Table 74, Equation 13 is Y ₀ =X _π(0) =X ₁₂₁ , Y ₁ =X _π(1) =X ₆₅ , Y ₂ =X _π(2) =X ₁₅₂ ,..., Y It can be expressed as ₁₇₈ =X _π(178) =X ₁₄₆ , Y ₁₇₉ =X _π(179) =X ₉₆ . Accordingly, the group interleaver 122 sets the 121st group as 0th, the 65th group as the 1st, the 152th group as the 2nd, ..., the 146th group as the 178th, and the 96th group as 179 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 64-QAM, π(j) is shown in Table 75 below. can be defined as

In the case of Table 75, Equation 13 is Y ₀ =X _π(0) =X ₄₉ , Y ₁ =X _π(1) =X ₆₉ , Y ₂ =X _π(2) =X ₆₁ ,..., Y It can be expressed as ₁₇₈ =X _π(178) =X ₁₅ , Y ₁₇₉ =X _π(179) =X ₁₇₆ . Accordingly, the group interleaver 122 sets the 49th group as the 0th, the 69th group as the 1st, the 61st group as the 2nd, ..., the 15th group as the 178th, and the 176th group as 179 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 1024-QAM, π(j) is shown in Table 76 below can be defined as

In the case of Table 76, Equation 13 is Y ₀ =X _π(0) =X ₄₅ , Y ₁ =X _π(1) =X ₄₆ , Y ₂ =X _π(2) =X ₇₁ ,..., Y It can be expressed as ₁₇₈ =X _π(178) =X ₁₆₆ , Y ₁₇₉ =X _π(179) =X ₁₆₅ . Accordingly, the group interleaver 122 sets the 45th group as the 0th, the 46th group as the 1st, the 71st group as the 2nd, ..., the 166th group as the 178th, and the 165th group as 179 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As such, the group interleaver 122 may rearrange the order of the plurality of groups in units of groups using Equation 13 and Tables 69 to 76.

Meanwhile, the group interleaver 122 may interleave the LDPC codewords in units of groups using Equation 14 below.

Here, X _j represents the j-th group before group interleaving, and Y _j represents the j-th group after group interleaving. In addition, π(j) is a parameter indicating an interleaving order, and may be determined by at least one of a length of an LDPC codeword, a code rate, and a modulation scheme.

Accordingly, Y _π(j) represents the π(j)-th group after group interleaving, and Equation 14 means that the j-th group before interleaving is interleaved into the π(j)-th group after interleaving.

Meanwhile, a specific example of π(j) according to an embodiment of the present invention may be defined as shown in Tables 77 to 84 below.

In this case, π(j) is defined according to the length and code rate of the LDPC codeword, and the parity check matrix is also defined according to the length and code rate of the LDPC codeword. Therefore, when LDPC encoding is performed based on a specific parity check matrix according to the length and code rate of the LDPC codeword, the LDPC codeword is grouped based on π(j) that satisfies the length and code rate of the LDPC codeword. can be interleaved.

For example, when the encoder 110 performs LDPC encoding at a code rate of 10/15 to generate an LDPC codeword having a length of 16200, the group interleaver 122 selects one of the following Tables 77 to 84. Interleaving can be performed using π(j) where the length of the LDPC codeword is 16200 and the code rate is defined in 10/15.

For example, when the length of the LDPC codeword is 16200, the code rate is 10/15, and the modulation method is 16-QAM, the group interleaver 122 performs interleaving using π(j) defined as shown in Table 77. can do.

Meanwhile, a specific example of π(j) is as follows.

For example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 16-QAM, π(j) is shown in Table 77 below. can be defined as

In the case of Table 77, Equation 14 is X ₀ =Y _π(0) =Y ₁₁ , X ₁ =Y _π(1) =Y ₃₈ , X ₂ =Y _π(2) =Y ₂₇ ,..., X It can be expressed as ₄₃ =Y _π(43) =Y ₁₃ , X ₄₄ =Y _π(44) =Y ₄₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 11th, the 1st group to the 38th, the 2nd group to the 27th, ..., the 43rd group to the 17th, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 64-QAM, π(j) is shown in Table 78 below. can be defined as

In the case of Table 78, Equation 14 is X ₀ =Y _π(0) =Y ₂₆ , X ₁ =Y _π(1) =Y ₂₂ , X ₂ =Y _π(2) =Y ₄₁ ,..., X It can be expressed as ₄₃ =Y _π(43) =Y ₄₃ , X ₄₄ =Y _π(44) =Y ₄₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 26th, the 1st group to the 22nd, the 2nd group to the 41st, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 256-QAM, π(j) is shown in Table 79 below. can be defined as

In the case of Table 79, Equation 14 is X ₀ =Y _π(0) =Y ₃₂ , X ₁ =Y _π(1) =Y ₂₆ , X ₂ =Y _π(2) =Y ₁₄ ,..., X It can be expressed as ₄₃ =Y _π(43) =Y ₄₃ , X ₄₄ =Y _π(44) =Y ₄₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 32nd, the 1st group to the 26th, the 2nd group to the 14th, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 16200, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 1024-QAM, π(j) is shown in Table 80 below can be defined as

In the case of Table 80, Equation 14 is X ₀ =Y _π(0) =Y ₂₂ , X ₁ =Y _π(1) =Y ₂₀ , X ₂ =Y _π(2) =Y ₇ ,..., X It can be expressed as ₄₃ =Y _π(43) =Y ₄₃ , X ₄₄ =Y _π(44) =Y ₄₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 22nd, the 1st group to the 20th, the 2nd group to the 7th, ..., the 43rd group to the 43rd, and the 44th group to 44 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 256-QAM, π(j) is shown in Table 81 below. can be defined as

In the case of Table 81, Equation 14 is X ₀ =Y _π(0) =Y ₇₂ , X ₁ =Y _π(1) =Y ₄₈ , X ₂ =Y _π(2) =Y ₅₅ ,..., X It can be expressed as ₁₇₈ =Y _π(178) =Y ₁₇₈ , X ₁₇₉ =Y _π(179) =Y ₁₇₉ . Accordingly, the group interleaver 122 assigns the 0th group to the 72nd, the 1st group to the 48th, the 2nd group to the 55th, ..., the 178th group to the 178th, and the 179th group to the 179th group. Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 6/15, 7/15, 8/15, 9/15, and the modulation method is 16-QAM, π(j) is shown in Table 82 below. can be defined as

In the case of Table 82, Equation 14 is X ₀ =Y _π(0) =Y ₃ , X ₁ =Y _π(1) =Y ₄₅ , X ₂ =Y _π(2) =Y ₁₇₅ ,..., X It can be expressed as ₁₇₈ =Y _π(178) =Y ₁₁ , X ₁₇₉ =Y _π(179) =Y ₁₀₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 3rd, the 1st group to the 45th, the 2nd group to the 175th, ..., the 178th group to the 11th, and the 179th group to 104 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 64-QAM, π(j) is shown in Table 83 below. can be defined as

In the case of Table 83, Equation 14 is X ₀ =Y _π(0) =Y ₁₁₂ , X ₁ =Y _π(1) =Y ₁₆₁ , X ₂ =Y _π(2) =Y ₁₄₇ ,..., X It can be expressed as ₁₇₈ =Y _π(178) =Y ₃₅ , X ₁₇₉ =Y _π(179) =Y ₆₄ . Accordingly, the group interleaver 122 assigns the 0th group to the 112th, the 1st group to the 161st, the 2nd group to the 147th, ..., the 178th group to the 35th, and the 179th group to 64 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

As another example, when the length N ldpc of the _LDPC codeword is 64800, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation method is 1024-QAM, π(j) is shown in Table 84 below. can be defined as

In the case of Table 84, Equation 14 is X ₀ =Y _π(0) =Y ₁₂₀ , X ₁ =Y _π(1) =Y ₁₄₁ , X ₂ =Y _π(2) =Y ₁₃₀ ,..., X It can be expressed as ₁₇₈ =Y _π(178) =Y ₉₈ , X ₁₇₉ =Y _π(179) =Y ₁₉ . Accordingly, the group interleaver 122 sets the 0th group to the 120th, the 1st group to the 141st, the 2nd group to the 130th, ..., the 178th group to the 98th, and the 179th group to 19 Second, the order of the plurality of groups may be rearranged in units of groups by changing the order.

In this way, the group interleaver 122 may rearrange the order of the plurality of groups in units of groups using Equation 14 and Tables 77 to 84.

On the other hand, in that the groups constituting the LDPC codeword are reordered in groups by the group interleaver 122 and then block interleaved by the block interleaver 124 to be described later, π(j) in Tables 69 to 84 ) was described as "Order of bits group to be block interleaved".

When group interleaving is performed based on Tables 69 to 84, the order of groups constituting the group interleaved LDPC codeword is different from the group constituting the group interleaved LDPC codeword based on Tables 28 to 43. do.

This is because the block-row interleaver 125 is used instead of the block interleaver 124 in this embodiment. That is, since the interleaving method used in the block interleaver 124 and the interleaving method used in the block-row interleaver 125 are different from each other, the group interleaver 122 in this embodiment is LDPC based on Tables 69 to 84. The order of a plurality of groups constituting the codeword is rearranged.

In detail, the group interleaver 122 may rearrange the order of the plurality of groups in units of groups so that an arrangement unit in which at least one group including bits mapped to the same modulation symbol is sequentially arranged in units of groups is repeated.

That is, the group interleaver 122 includes one of a plurality of first groups including bits mapped to a specific first position of the modulation symbol, and a plurality of second groups including bits mapped to a specific second position of the modulation symbol. One, ..., one of a plurality of n-th groups including a bit mapped to a specific n-th position of a modulation symbol may be sequentially disposed, and the remaining groups may be repeatedly disposed in the same manner.

The block-row interleaver 125 interleaves a plurality of reordered groups. In this case, the block-row interleaver 125 may interleave a plurality of reordered groups using at least one row including a plurality of columns. For a more detailed description, reference will be made to FIGS. 21 to 23 .

21 to 23 are diagrams for explaining a structure of a block-row interleaver and a method for performing interleaving according to an embodiment of the present invention.

First, when N _group /m is an integer, the block-row interleaver 125 includes an interleaver 125-1 composed of m rows each including M columns as shown in FIG. 21, and the block-row interleaver ( 125 may perform interleaving using N _group /m interleavers 125 - 1 having the structure shown in FIG. 21 .

Here, N _group is the total number of groups constituting the LDPC codeword. And, M is the number of bits included in one group, and may be 360, for example, and m is equal to the number of bits constituting the modulation symbol or 1/2 of the number of bits constituting the modulation symbol. have. For example, in the case of using non-uniform QAM, since the performances of bits constituting the modulation symbol are all different, the value of m is configured to be the same as the number of bits constituting the modulation symbol, so that one group configures the modulation symbol. to be mapped to one bit.

Specifically, the block-row interleaver 125 writes each of a plurality of groups constituting the LDPC codeword in a row direction in a group unit, and writes each column of a plurality of rows in which a plurality of groups are written in a group unit. Interleaving may be performed by reading in the column direction.

For example, as shown in FIG. 21 , the block-row interleaver 125 writes consecutive m groups from among a plurality of groups in each of m rows constituting the interleaver 125-1 in the row direction, and the bits are written Each column of the m rows can be read in the column direction. In this case, the quotient obtained by dividing the number of groups by the number of rows, that is, as many as N _groups /m interleavers 125 - 1 may be used.

As such, when the number of groups constituting the LDPC codeword is an integer multiple of the number of rows, the block-row interleaver 125 may perform interleaving by sequentially writing as many groups as the number of rows among the plurality of groups. .

On the other hand, when the number of groups constituting the LDPC codeword is not an integer multiple of the number of rows, the block-row interleaver 125 uses N interleavers (N is an integer greater than or equal to 2) including different numbers of columns. Interleaving can be performed using

×m이고,

는 N_group/m 이하의 가장 큰 정수를 나타낸다.For example, as shown in FIGS. 22 and 23 , the block-row interleaver 125 includes the first interleaver 125-2 including m rows including M columns, respectively, and a×M/m columns, respectively. Interleaving may be performed using the second interleaver 125 - 3 composed of m rows. Here, a is N _group -

xm,

represents the largest integer less than or equal to N _group /m.

개가 이용될 수 있고, 제2 인터리버(125-3)는 1 개가 이용될 수 있다. In this case, the first interleaver 125-2

Dogs may be used, and one second interleaver 125-3 may be used.

×m 개 그룹 각각을 그룹 단위로 각 행에 행 방향으로 라이트하고,

×m 개 그룹이 그룹 단위로 라이트된 복수의 행의 각 열을 열 방향으로 리드하여 인터리빙을 수행할 수 있다.Specifically, the block-row interleaver 125 is one of a plurality of groups constituting the LDPC codeword.

Write each of ×m groups in a row-wise direction in each row as a group,

Interleaving may be performed by reading each column of a plurality of rows in which ×m groups are written in a group unit in a column direction.

×m 개 그룹 중에서 행의 개수와 동일한 개수의 연속된 m 개의 그룹을 제1 인터리버(125-2)의 각 행에 행 방향으로 라이트하고, m 개의 그룹이 라이트된 제1 인터리버(125-2)의 복수의 행의 각 열을 열 방향으로 리드할 수 있다. 이 경우, 도 22 및 도 23과 같은 구조를 갖는 제1 인터리버(125-2)가

개만큼 이용될 수 있다.For example, as shown in FIGS. 22 and 23 , the block-row interleaver 125 is

The first interleaver 125-2 writes m consecutive m groups of the same number as the number of rows from among ×m groups in the row direction to each row of the first interleaver 125-2, and writes m groups. It is possible to read each column of a plurality of rows in a column direction. In this case, the first interleaver 125-2 having the structure as shown in FIGS. 22 and 23 is

Can be used as much as a dog.

Also, m may be a product of the number of bits constituting a modulation scheme and the number of antennas in a system using multiple antennas.

Thereafter, the block-row interleaver 125 divides the bits included in the remaining groups except for the group written to the first interleaver 125-2 and writes the bits to each row of the second interleaver 125-3 in the row direction. can In this case, the same number of bits may be written to each row of the second interleaver 125 - 3 . That is, one bit group may be input to a plurality of rows of the second interleaver 125 - 3 .

For example, as shown in FIG. 22 , the block-row interleaver 125 uses bits included in the remaining groups except for the group written in the first interleaver 125-2 to m constituting the second interleaver 125-3. Each of the m rows may be written in the row direction by a×M/m, and each column of the m rows of the second interleaver 125 - 3 to which the bits are written may be read in the column direction. In this case, one second interleaver 125-3 having the structure shown in FIG. 22 may be used.

However, according to another embodiment of the present invention, as shown in FIG. 23 , the block-row interleaver 125 writes bits to the first interleaver 125-2 in the same manner as described with reference to FIG. 22 . , bits may be written to the second interleaver 125 - 3 in a method different from the method described with reference to FIG. 22 .

That is, the block-row interleaver 125 may write bits to the second interleaver 125 - 3 in the column direction.

For example, as shown in FIG. 23 , the block-row interleaver 125 configures the second interleaver 125-3 by using bits included in the remaining groups except for the group written to the first interleaver 125-2. Bits may be written in each column of m rows of a×M/m columns in a column direction, and each column of m rows of the second interleaver 125 - 3 in which bits are written may be read in a column direction. In this case, one second interleaver 125-3 having the structure shown in FIG. 23 may be used.

Meanwhile, in the case of FIG. 23 , the block-row interleaver 125 performs interleaving by writing bits to the second interleaver in the column direction and then reading the bits in the column direction. Accordingly, bits included in the group interleaved by the second interleaver are read in the order in which they are written and output to the modulator 130 . Accordingly, the bits included in the group belonging to the second interleaver may be sequentially mapped to modulation symbols without being rearranged in order by the block-row interleaver 125 . As such, the block-row interleaver 125 may perform interleaving on at least some of the plurality of groups and may not perform interleaving on the remaining groups. Specifically, the block-row interleaver 125 performs interleaving by sequentially writing LDPC codewords constituting at least some of the plurality of groups into a plurality of rows and reading them in the column direction, but interleaving is performed on the remaining groups. may not That is, since the block-row interleaver 125 writes and reads bits included in the remaining groups in the same direction, the bits included in the remaining groups may be output without changing their order.

Also, in the above example, it has been described that the bits included in the remaining groups are written and read in the column direction, but this is only an example. That is, the block-row interleaver 125 may write and read bits included in the remaining groups in the row direction, and even in this case, the bits included in the remaining groups may be output without changing their order.

As such, the block-row interleaver 125 may interleave a plurality of groups using the method described with reference to FIGS. 21 to 23 .

According to this method, the output of the block-row interleaver 125 may be the same as the output of the block interleaver 124 . Specifically, when the block-row interleaver 125 performs interleaving as shown in FIG. 21, it outputs the same value as the block interleaver 124 performing interleaving as shown in FIG. 8, and the block-row interleaver 125 performs the interleaving as shown in FIG. 22 When interleaving is performed as shown in FIG. 9, the same value as that of the block interleaver 124 performing interleaving is output as shown in FIG. 9, and when the block-row interleaver 125 performs interleaving as shown in FIG. 23, interleaving is performed as shown in FIG. The same value as that of the block interleaver 124 that is performed may be output.

Specifically, when using the group interleaver 122 and the block interleaver 124 based on Equation 11, the output groups of the group interleaver 122 are Y _i (0≤j<N _group ), and Equation 13 When the _{group interleaver} 122 is used based on The relationship between the fields Z _i and Y _i may be expressed as Equations 15 and 16 below, and as a result, the same value may be output from the block interleaver 124 .

로, 블록 인터리버(124)를 사용할 경우 제 1 파트의 하나의 열에 입력되는 그룹의 개수를 의미하며,

는 N_group/m 이하의 가장 큰 정수이다. 그리고, m은 변조 심볼을 구성하는 비트의 개수와 동일하거나, 변조 심볼을 구성하는 비트의 절반일 수 있다. 또한, m은 블록 인터리버(124)의 열의 개수를 의미하고, m은 블록-로우 인터리버(125)의 행의 개수를 의미한다.where α=

, when the block interleaver 124 is used, it means the number of groups input to one column of the first part,

is the largest integer less than or equal to N _group /m. And, m may be equal to the number of bits constituting the modulation symbol or half of the bits constituting the modulation symbol. Also, m denotes the number of columns of the block interleaver 124 , and m denotes the number of rows of the block-row interleaver 125 .

Accordingly, the modulator 130 may map the bits output from the block-row interleaver 125 to modulation symbols in the same manner as in the case of using the block interleaver 124 .

On the other hand, the bit interleaving method proposed by the present invention is composed of a parity interleaver 121, a group interleaver 122, a group twist interleaver 123, and a block interleaver 124 as shown in FIG. , parity interleaver 121 or group twist interleaver 123 may be omitted), which is merely an example and does not need to be limited to being composed of three or four modules as described above.

For example, when a block interleaver is used in the present invention and a group interleaving method expressed as Equation 13 is used, bit groups X _j defined as Equations 9 and 10 (0≤j<N _group ) For , m bit groups e.g. {X _π(i) , X _π(α+i) ,...,X _{π((m-1)×α+i)} } (0≤i<α) Bits belonging to , constitute one modulation symbol.

이다. 그리고, m은 블록 인터리버의 열의 개수를 의미하며, 이는 변조 심볼을 구성하는 비트의 개수 또는 변조 심볼을 구성하는 비트의 개수의 절반일 수 있다.Here, α is the number of bit groups constituting the first part of the block interleaver, and α=

to be. And, m means the number of columns of the block interleaver, which may be half of the number of bits constituting the modulation symbol or the number of bits constituting the modulation symbol.

Therefore, as an example, for the parity interleaved bits u _i , {u _π(i)+j , u _π(α+i)+j ,..., u _{π((m-1)×α+i ) )+j} } (0<i≤m, 0<j≤M) may constitute one modulation symbol. As such, there may be various methods for configuring one modulation symbol.

In addition, the bit interleaving method proposed by the present invention consists of a parity interleaver 121, a group interleaver 122, and a group twist interleaver 123 and a block-row interleaver 125 as shown in FIG. Accordingly, the group twist interleaver 123 may be omitted), which is merely an example and does not need to be limited to being composed of three or four modules as described above.

For example, when the block-row interleaver is used in the present invention and the group interleaving method expressed as Equation 12 is used, bit groups X _j defined as Equations 9 and 10 (0≤j<N _group ), for m bit groups, such as {X _π(m×i) , X _π(m×i+1) ,...,X _{π(m×i+(m-1))} } (0 Bits belonging to ?i<α) constitute one modulation symbol.

이다. 그리고, m은 블록 인터리버의 열의 개수를 의미하며, 이는 변조 심볼을 구성하는 비트의 개수 또는 변조 심볼을 구성하는 비트의 개수의 절반일 수 있다.Here, α is the number of bit groups constituting the first part of the block interleaver, and α=

to be. And, m means the number of columns of the block interleaver, which may be half of the number of bits constituting the modulation symbol or the number of bits constituting the modulation symbol.

Therefore, as an example, for the parity interleaved bits u _i , {u _π(m×i)+j , u _π(m×i+1)+j ,...,u _{π(m×i+(m) -1))+j} } (0<i≤m, 0<j≤M) may constitute one modulation symbol. As such, there may be various methods for configuring one modulation symbol.

Meanwhile, in the present invention, the transmitting apparatus 100 may use an interleaving method differently according to a set including at least one of a code rate, a length of an LDPC codeword, and a modulation method.

For example, the transmitting apparatus 100 may perform interleaving using the block interleaver 124 in a first set including a specific code rate, a length of an LDPC codeword, and a modulation scheme, In the second set including a specific code rate, a length of an LDPC codeword, and a modulation scheme, interleaving may be performed using the block-row interleaver 125 .

24 is a block diagram for explaining the configuration of a receiving apparatus according to an embodiment of the present invention. Referring to FIG. 24 , the reception device 2700 includes a demodulator 2710 , a multiplexer 2720 , a deinterleaver 2730 , and a decoder 2740 .

The demodulator 2710 receives and demodulates the signal transmitted from the transmitter 100 . Specifically, the demodulator 2710 generates a value corresponding to the LDPC codeword by demodulating the received signal, and outputs it to the multiplexer 2720 . In this case, the demodulation unit 2710 may perform demodulation to correspond to the modulation method used in the transmitting apparatus 100 .

To this end, the transmitting apparatus 100 may transmit information on the modulation method to the receiving apparatus 2700 , or the transmitting apparatus 100 may be modulated using a modulation method predefined between the transmitting apparatus 2700 and the receiving apparatus 2700 . can be performed.

Here, the value corresponding to the LDPC codeword may be expressed as a channel value for the received signal. A method of determining a channel value may exist in various ways, and for example, it may be a method of determining a Log Likelihood Ratio (LLR) value.

The LLR value may be expressed as a value obtained by taking Log from the ratio of the probability that the bit transmitted from the transmitter 100 is 0 to the probability that it is 1. Alternatively, the LLR value may be a bit value itself determined according to a hard decision, and the LLR value is a representative value determined according to a section in which the probability that the bit transmitted from the transmitting device 100 is 0 or 1 belongs. this could be

The multiplexer 2720 multiplexes the output value of the demodulator 2710 and outputs it to the deinterleaver 2730 .

Specifically, the multiplexer 2720 is a component corresponding to a demultiplexer (not shown) provided in the transmitting apparatus 100 and performs an operation corresponding to the demultiplexer (not shown). Accordingly, when the demultiplexer (not shown) is omitted from the transmitting apparatus 100 , the multiplexer 2720 of the receiving apparatus 2700 may be omitted.

That is, the multiplexer 2720 may perform cell-to-bit conversion on an output value of the demodulator 2710 to output an LLR value in units of bits.

In this case, when the demultiplexer (not shown) does not change the order of the LDPC codeword bits as shown in FIG. 13 , the multiplexer 2720 does not change the order of LLR values corresponding to bits constituting the cell, and LLR values can be output sequentially. Alternatively, the multiplexer 2720 may rearrange the order of LLR values corresponding to bits constituting the cell so that the demultiplexing operation performed by the demultiplexer (not shown) is reversed based on Table 50. Meanwhile, information on whether the demultiplexing operation is performed may be provided from the transmitting apparatus 100 or may be pre-stored between the transmitting apparatus 100 and the receiving apparatus 2700 .

The deinterleaver 2730 deinterleaves the output value of the multiplexer 2720 , and outputs it to the decoder 2740 .

Specifically, the deinterleaver 2730 is a component corresponding to the interleaver 120 of the transmitting apparatus 100 and performs an operation corresponding to the interleaver 120 . That is, the deinterleaver 2730 deinterleaves the LLR values by inversely performing the interleaving operation performed by the interleaver 120 .

To this end, the deinterleaver 2730 may include the components shown in FIGS. 25 and 27 .

First, as shown in FIG. 25 , the deinterleaver 2730 may include a block deinterleaver 2731 , a group twist deinterleaver 2732 , a group deinterleaver 2733 , and a parity deinterleaver 2734 .

The block deinterleaver 2731 deinterleaves the output of the multiplexer 2720 and outputs it to the group twist deinterleaver 2732 .

Specifically, the block deinterleaver 2731 is a component corresponding to the block interleaver 124 included in the transmitting apparatus 100 , and may reverse the interleaving operation performed by the block interleaver 124 .

That is, the block deinterleaver 2731 writes the LLR values output from the multiplexer 2720 to each row in the row direction using at least one row composed of a plurality of columns, and each of the plurality of rows to which the LLR values are written. Deinterleaving may be performed by reading columns in a column direction.

In this case, when the block interleaver 124 divides a column into two parts and performs interleaving, the block deinterleaver 2731 divides a row into two parts and performs deinterleaving.

In addition, when the block interleaver 124 writes and reads a group not belonging to the first part in the row direction, the block deinterleaver 2731 writes and reads the value corresponding to the group not belonging to the first part in the row direction. It is also possible to perform deinterleaving by reading.

Hereinafter, the block deinterleaver 2731 will be described with reference to FIG. 26 . However, this is only an example, and it goes without saying that the block deinterleaver 2731 may be implemented in other ways.

,

이다.The input LLR v _i (0≤i<N _ldpc ) is written to the r _i row and c _i column of the block deinterleaver 2431 . From here,

,

to be.

,

이다.On the other hand, the output LLR q _i (0≤i<N _c ×N _{r1 )} is read from the c _i column and the ri row of the first part of the block deinterleaver 2431 . From here,

,

to be.

,

이다.Then, the output LLR q _i (N _c ×N _r1 ≤ i<N _ldpc ) is read from the c _i column and the r _i row of the second part of the block deinterleaver 2431 . From here,

,

to be.

The group twist deinterleaver 2732 deinterleaves the output value of the block deinterleaver 2431 and outputs it to the group deinterleaver 2733 .

Specifically, the group twist deinterleaver 2732 is a component corresponding to the group twist interleaver 123 provided in the transmitting apparatus 100, and the interleaving operation performed in the group twist interleaver 123 may be reversely performed. .

That is, the group twist deinterleaver 2732 may rearrange the LLR values in the same group by changing the order of LLR values existing in the same group. Meanwhile, when the group twist operation is not performed in the transmitter 100 , the group twist deinterleaver 2732 may be omitted.

The group deinterleaver 2733 (or group-wise deinterleaver) deinterleaves the output value of the group twist deinterleaver 2732 and outputs it to the parity deinterleaver 2734 .

Specifically, the group deinterleaver 2733 is a component corresponding to the group interleaver 122 included in the transmitting apparatus 100 , and may reverse the interleaving operation performed by the group interleaver 122 .

That is, the group deinterleaver 2733 may rearrange the order of the plurality of groups in units of groups. In this case, the group deinterleaver 2733 may reversely apply the interleaving methods of Tables 28 to 43 according to the length of the LDPC codeword, the modulation method, and the code rate to rearrange the order of the plurality of groups in units of groups.

Meanwhile, as described above, in the parity check matrix having the form of FIGS. 2 and 3 , the order of column groups can be changed, and the column groups correspond to bit groups. Accordingly, when the order of the column groups of the parity check matrix is changed, the order of the bit groups may also be changed to correspond thereto, and the group deinterleaver 2733 may rearrange the order of the plurality of groups in units of groups with reference to this.

The parity deinterleaver 2734 performs parity deinterleaving on the output value of the group deinterleaver 2733 , and outputs it to the decoder 2740 .

Specifically, the parity deinterleaver 2734 is a component corresponding to the parity interleaver 121 included in the transmitting apparatus 100 , and may reverse the interleaving operation performed by the parity interleaver 121 . That is, the parity deinterleaver 2734 may deinterleave the LLR values corresponding to the parity bits among the LLR values output from the group deinterleaver 2733 . In this case, the parity deinterleaver 2734 may deinterleave the LLR values corresponding to the parity bits in the reverse of the parity interleaving method of Equation (8). However, the parity deinterleaver 2734 may be omitted depending on the decoding method and implementation of the decoding unit 2740 .

Meanwhile, the deinterleaver 2730 of FIG. 24 may be composed of three or four components as shown in FIG. 25 , but operations of the components may be performed as one component. For example, when one bit belonging to each bit group for bit groups X _a , X _b , X _c , and X _d constitutes one modulation symbol, the deinterleaver 2730 receives one Deinterleaving may be performed to positions corresponding to bit groups based on the modulation symbol.

For example, when the code rate is 12/15 and the modulation scheme is 16-QAM, the group deinterleaver 2733 may perform deinterleaving based on Table 28.

In this case, one bit included in each of the bit groups X ₃₅ , X ₃₇ , X ₁₆ , and X ₂ constitutes one modulation symbol. Since one bit in each bit group X ₃₅ , X ₃₇ , X ₁₆ , and X ₂ constitutes one modulation symbol, the deinterleaver 2730 performs the bit group X ₃₅ , X ₃₇ based on one received modulation symbol. , X ₁₆ , may be mapped to decoding initial values corresponding to X ₂ .

Meanwhile, as shown in FIG. 27 , the deinterleaver 2730 may include a block-row deinterleaver 2735 , a group twist deinterleaver 2732 , a group deinterleaver 2733 , and a parity deinterleaver 2734 . In this case, since the group twist deinterleaver 2732 and the parity deinterleaver 2734 perform the same functions as those of FIG. 25 , a detailed description of overlapping parts will be omitted.

The block-row deinterleaver 2735 deinterleaves the output value of the multiplexer 2720 , and outputs it to the group twist deinterleaver 2732 .

Specifically, the block-row deinterleaver 2735 is a component corresponding to the block-row interleaver 125 provided in the transmitting apparatus 100 and reversely performs the interleaving operation performed by the block-row interleaver 125 . can do.

That is, the block-row deinterleaver 2735 writes the LLR values output from the multiplexer 2720 to each column in the column direction using at least one column of a plurality of rows, and writes the LLR values output from the plurality of columns in the column direction. Deinterleaving may be performed by reading each row in the column direction.

However, when the block-row interleaver 125 writes and reads the group not belonging to the first part in the column direction, the block-row deinterleaver 2735 sets the value corresponding to the group not belonging to the first part in the column. Deinterleaving may be performed by writing and reading in a direction.

The group deinterleaver 2733 deinterleaves the output value of the group twist deinterleaver 2732 , and outputs it to the parity deinterleaver 2734 .

Specifically, the group deinterleaver 2733 is a component corresponding to the group interleaver 122 included in the transmitting apparatus 100 , and may reverse the interleaving operation performed by the group interleaver 122 .

That is, the group deinterleaver 2733 may rearrange the order of the plurality of groups in units of groups. In this case, the group deinterleaver 2733 may apply the interleaving methods of Tables 69 to 84 inversely according to the length of the LDPC codeword, the modulation method, and the code rate to rearrange the order of the plurality of groups in units of groups.

Meanwhile, the deinterleaver 2730 of FIG. 24 may be composed of three or four components as shown in FIG. 27 , but operations of the components may be performed as one component. For example, when one bit belonging to each bit group with respect to bit groups X _a , X _b , X _c , X _d constitutes one modulation symbol, the deinterleaver 2730 may Deinterleaving may be performed to positions corresponding to bit groups based on the modulation symbol.

To this end, the transmitting device 100 transmits various types of information used for performing interleaving in the interleaver 120 to the receiving device 2700 , or the transmitting device 100 uses a predefined method between the receiving device 2700 and the receiving device 2700 . can be used to perform interleaving.

The decoder 2740 may perform LDPC decoding using the output value of the deinterleaver 2730 . To this end, the decoder 2740 may include an LDPC decoder (not shown) for performing LDPC decoding.

Specifically, the decoder 2740 is a component corresponding to the encoder 110 of the transmitting apparatus 100 and performs LDPC decoding using the LLR value output from the deinterleaver 2730 to correct the error. have

For example, the decoder 2740 may perform LDPC decoding by iterative decoding based on a sum-product algorithm. Here, the sum and product algorithm is a type of message passing algorithm, and the message passing algorithm refers to exchanging messages (eg, LLR values) through edges on a bipartite graph and using variable nodes or check nodes. Represents an algorithm that calculates and updates output messages from input messages.

Meanwhile, the decoder 2740 may use a parity check matrix during LDPC decoding. In this case, the information word submatrix in the parity check matrix is defined as shown in Tables 4 to 27 according to the code rate and the length of the LDPC codeword, and the parity submatrix may have a double diagonal structure.

Also, information on a parity check matrix used in LDPC decoding, information on a code rate, etc. may be pre-stored in the receiving device 2700 or may be provided from the transmitting device 100 .

28 is a flowchart illustrating a signal processing method of a transmitting apparatus according to an embodiment of the present invention.

First, LDPC encoding is performed to generate an LDPC codeword (S3010).

Thereafter, the LDPC codeword is interleaved (S3020), and, for example, the length Nldpc of the LDPC codeword is 16200, the code rates are 10/15, 11/15, 12/15, 13/15, and the modulation scheme is 16-QAM. In this case, π(j) may be defined as shown in Table 28 below. A modulation symbol is generated by modulating the interleaved LDPC codeword according to a modulation scheme (S3030).

Here, in step S3020, the LDPC codeword is grouped into a plurality of groups, the order of the plurality of groups is rearranged in group units, and a modulation order determined according to a modulation method using a plurality of columns each including a plurality of rows is used. A plurality of reordered groups may be distinguished and interleaved based on .

In this case, each of a plurality of columns is divided into a first part and a second part, the plurality of groups are sequentially written to the plurality of columns constituting the first part in units of bit groups, and bits constituting the remaining groups are written in a plurality of pieces. Interleaving may be performed by dividing the bit groups into bit groups each having a predetermined number of bits based on the number of columns, and sequentially writing the divided bit groups to a plurality of columns constituting the second part.

Here, the number of the plurality of columns has the same value as the modulation order according to the modulation method, and each of the plurality of columns may consist of as many rows as the number of bits constituting the LDPC codeword divided by the number of the plurality of columns.

In addition, in each of the plurality of columns, the first part is a bit group in each of the plurality of columns among the plurality of bit groups constituting the LDPC codeword according to the number of the plurality of columns, the number of bit groups, and the number of bits constituting each bit group. The second part is composed of as many rows as the number of bits included in at least some bit groups that can be written as a unit, and the second part is written in each bit group in each of a plurality of columns in each of a plurality of columns and in each of a plurality of columns in a row constituting each of the plurality of columns It may be composed of rows excluding as many rows as the number of bits included in at least some possible bit groups.

In this case, the number of rows of the second part may have the same value as a quotient obtained by dividing the number of bits included in all bit groups except for the bit group corresponding to the first part by the number of columns.

Meanwhile, in step S3020, bits included in at least some bit groups that can be written in a bit group unit are sequentially written to each of a plurality of columns constituting the first part, and the remaining bits excluding at least some bit groups from the plurality of bit groups The bits included in the bit group may be divided based on the number of the plurality of columns to sequentially write to each of the plurality of columns constituting the second part.

In this case, step S3020 divides the bits included in the remaining bit group into the number of columns, writes each of the divided bits in the column direction to each of the plurality of columns constituting the second part, and writes the first part and the second part. Interleaving may be performed by reading a plurality of columns constituting two parts in a row direction.

Meanwhile, the modulation order may be 2,4,6,8,10,12 when the modulation scheme is QPSK, 16-QAM, 64-QAM, 256-QAM, 1024-QAM, or 4096-QAM.

Meanwhile, a non-transitory computer readable medium in which a program for sequentially performing the signal processing method according to the present invention is stored may be provided.

The non-transitory readable medium refers to a medium that stores data semi-permanently, rather than a medium that stores data for a short moment, such as a register, cache, memory, and the like, and can be read by a device. Specifically, various applications or programs may be provided by being stored in a non-transitory readable medium such as a CD, DVD, hard disk, Blu-ray disk, USB, memory card, ROM, and the like.

In addition, although a bus is not illustrated in the above-described block diagram of the transmitting apparatus and the receiving apparatus, communication between each component in each apparatus may be achieved through a bus. In addition, each device may further include a processor such as a CPU or a microprocessor that performs the various steps described above.

In addition, although preferred embodiments of the present invention have been illustrated and described above, the present invention is not limited to the specific embodiments described above, and the technical field to which the present invention pertains without departing from the gist of the present invention as claimed in the claims In addition, various modifications are possible by those of ordinary skill in the art, and these modifications should not be individually understood from the technical spirit or perspective of the present invention.

100: transmitter 110: encoder
120: interleaver 130: modulator

Claims (5)

In the transmitting device,
an encoder that encodes information word bits to generate parity bits;
A codeword including the information word bits and the parity bits is divided into a plurality of bit groups, the plurality of bit groups are interleaved in a bit group unit, and the interleaved plurality of bit groups are formed using a plurality of columns. an interleaver for interleaving bits; and
a constellation mapper that maps the interleaved bits to constellation points;
Each of the plurality of columns includes a first part and a second part,
Some bit groups of the plurality of interleaved bit groups are interleaved in a first part of the plurality of columns, and the remaining bit groups of the plurality of interleaved bit groups are interleaved in a second part of the plurality of columns,
The bits of the partial bit group and the bits of the remaining bit group are written in a column direction and read in a row direction. According to claim 1,
Each of the plurality of bit groups includes 360 bits. According to claim 1,
The interleaver is
A transmitting apparatus for interleaving the parity bits and dividing the information word bits and a codeword including the interleaved parity bits into a plurality of bit groups. In the receiving device,
a demodulator that demodulates a signal received from a transmitting device to generate values;
Writes the generated values to a plurality of columns, reads the written values from the plurality of columns to deinterleave the generated values, divides the deinterleaved values into a plurality of groups, and divides the plurality of groups into a plurality of groups. a deinterleaver for deinterleaving in a group unit; and
a decoder for decoding the deinterleaved values of the plurality of groups;
Each of the plurality of columns includes a first part and a second part,
Some of the generated values are written to the first part of the plurality of columns in a first direction and then read in a second direction,
Remaining values of the generated values are written in the first direction to the second part of the plurality of columns and then read in the second direction. 5. The method of claim 4,
Each of the plurality of groups includes 360 values.

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