WO2019001159A1 - 一种编码方法及装置、计算机存储介质 - Google Patents
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- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
- H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
- H03M13/1148—Structural properties of the code parity-check or generator matrix
- H03M13/116—Quasi-cyclic LDPC [QC-LDPC] codes, i.e. the parity-check matrix being composed of permutation or circulant sub-matrices
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- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/033—Theoretical methods to calculate these checking codes
- H03M13/036—Heuristic code construction methods, i.e. code construction or code search based on using trial-and-error
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- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
- H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
- H03M13/1105—Decoding
- H03M13/1131—Scheduling of bit node or check node processing
- H03M13/1137—Partly parallel processing, i.e. sub-blocks or sub-groups of nodes being processed in parallel
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- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
- H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
- H03M13/1148—Structural properties of the code parity-check or generator matrix
- H03M13/118—Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure
- H03M13/1185—Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure wherein the parity-check matrix comprises a part with a double-diagonal
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- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
- H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
- H03M13/1148—Structural properties of the code parity-check or generator matrix
- H03M13/118—Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure
- H03M13/1185—Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure wherein the parity-check matrix comprises a part with a double-diagonal
- H03M13/1188—Parity check matrix structured for simplifying encoding, e.g. by having a triangular or an approximate triangular structure wherein the parity-check matrix comprises a part with a double-diagonal wherein in the part with the double-diagonal at least one column has an odd column weight equal or greater than three
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- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/61—Aspects and characteristics of methods and arrangements for error correction or error detection, not provided for otherwise
- H03M13/615—Use of computational or mathematical techniques
- H03M13/616—Matrix operations, especially for generator matrices or check matrices, e.g. column or row permutations
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- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/63—Joint error correction and other techniques
- H03M13/6306—Error control coding in combination with Automatic Repeat reQuest [ARQ] and diversity transmission, e.g. coding schemes for the multiple transmission of the same information or the transmission of incremental redundancy
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- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/63—Joint error correction and other techniques
- H03M13/635—Error control coding in combination with rate matching
- H03M13/6362—Error control coding in combination with rate matching by puncturing
- H03M13/6368—Error control coding in combination with rate matching by puncturing using rate compatible puncturing or complementary puncturing
- H03M13/6393—Rate compatible low-density parity check [LDPC] codes
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- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/65—Purpose and implementation aspects
- H03M13/6502—Reduction of hardware complexity or efficient processing
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- H—ELECTRICITY
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- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/65—Purpose and implementation aspects
- H03M13/6508—Flexibility, adaptability, parametrability and configurability of the implementation
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/65—Purpose and implementation aspects
- H03M13/6508—Flexibility, adaptability, parametrability and configurability of the implementation
- H03M13/6516—Support of multiple code parameters, e.g. generalized Reed-Solomon decoder for a variety of generator polynomials or Galois fields
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0041—Arrangements at the transmitter end
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0041—Arrangements at the transmitter end
- H04L1/0043—Realisations of complexity reduction techniques, e.g. use of look-up tables
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0056—Systems characterized by the type of code used
- H04L1/0057—Block codes
Definitions
- the present application relates to the field of communications technologies, and in particular, to an encoding method and apparatus, and a computer storage medium.
- the current 3rd Generation Partnership Project (3GPP) proposes to provide a Low Density Parity Check Code (LDPC) channel coding design for the 5G Mobile Broadband Enhanced (eMBB) scenario.
- LDPC Low Density Parity Check Code
- the LDPC code is a kind of linear code defined by the check matrix.
- the check matrix needs to satisfy the sparsity when the code length is long, that is, the density of 1 in the check matrix is relatively low, that is, the check is required.
- the number of 1s in the matrix is much smaller than the number of 0, and the longer the code length, the lower the density.
- the embodiment of the present application provides an encoding method and device, and a computer storage medium, which are used to improve LDPC encoding performance, and thus are applicable to a 5G system.
- LDPC encoding is performed according to the sub-circulant matrix and the base graph.
- the constructing a cyclic coefficient index matrix specifically includes:
- Step 1 divide the set of dimension Z of the sub-circulant matrix that needs to be supported into multiple subsets
- Step 2 generating a set of cyclic coefficient exponential matrix for each of the subsets
- Step 3 Determine, according to the cyclic coefficient exponential matrix, a cyclic coefficient corresponding to Z of the plurality of subsets;
- Step 4 For each Z, it is detected whether the performance of the determined cyclic coefficient exponent matrix satisfies a preset condition, and if so, the process ends. Otherwise, step 2 is re-executed.
- Z a ⁇ 2 j ; performing the first step in one of the following ways:
- Method 1 According to the value of a, divide Z into multiple subsets
- Method 2 According to the value of j, divide Z into multiple subsets
- Mode 3 Divide Z into multiple subsets according to the length of the information bits.
- the step 3 specifically includes: determining a cyclic coefficient P i,j corresponding to each Z by using the following formula:
- V i,j is the cyclic coefficient corresponding to the (i,j)th element of the cyclic coefficient exponential matrix.
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the method further includes:
- the sub-circulant matrix is updated using the updated cyclic coefficient exponent matrix.
- the update includes at least row and column permutation of matrix elements.
- the LDPC encoding is performed according to the sub-circulant matrix and the base graph, and specifically includes:
- the LDPC encoding is performed using the check matrix.
- the method further includes: performing row and column permutation on the check matrix;
- the LDPC encoding is performed by using the check matrix, and specifically includes: performing LDPC encoding by using a check matrix after row and column replacement.
- the row and column replacement of the check matrix includes:
- a first unit configured to determine a base graph of a low density parity check code LDPC matrix, and construct a cyclic coefficient exponential matrix
- a second unit configured to determine a sub-circulation matrix according to the cyclic coefficient exponential matrix
- a third unit configured to perform LDPC encoding according to the sub-circulation matrix and the base graph.
- the first unit constructs a cyclic coefficient exponential matrix, and specifically includes:
- Step 1 divide the set of dimension Z of the sub-circulant matrix that needs to be supported into multiple subsets
- Step 2 generating a set of cyclic coefficient exponential matrix for each of the subsets
- Step 3 Determine, according to the cyclic coefficient exponential matrix, a cyclic coefficient corresponding to Z of the plurality of subsets;
- Step 4 For each Z, it is detected whether the performance of the determined cyclic coefficient exponent matrix satisfies a preset condition, and if so, the process ends. Otherwise, step 2 is re-executed.
- the first unit performs the step 1 in one of the following ways:
- Method 1 According to the value of a, divide Z into multiple subsets
- Method 2 According to the value of j, divide Z into multiple subsets
- Mode 3 Divide Z into multiple subsets according to the length of the information bits.
- the step 3 specifically includes: determining a cyclic coefficient P i,j corresponding to each Z by using the following formula:
- V i,j is the cyclic coefficient corresponding to the (i,j)th element of the cyclic coefficient exponential matrix.
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the determined cyclic coefficient exponent matrix is as shown in the following table:
- the second unit is further configured to:
- the sub-circulant matrix is updated using the updated cyclic coefficient exponent matrix.
- the update includes at least row and column permutation of matrix elements.
- the third unit is specifically configured to:
- the LDPC encoding is performed using the check matrix.
- the third unit is further configured to perform row and column permutation on the check matrix after determining the check matrix;
- the third unit performs LDPC encoding by using the check matrix, and specifically includes: performing LDPC encoding by using a check matrix after row and column replacement.
- the third unit performs row and row replacement on the check matrix, and specifically includes:
- Another encoding apparatus includes a memory and a processor, wherein the memory is used to store program instructions, and the processor is configured to invoke program instructions stored in the memory, and execute according to the obtained program. Any of the above methods.
- a computer storage medium storing the computer executable instructions for causing the computer to execute any of the above methods.
- FIG. 1 is a schematic structural diagram of a Base matrix according to an embodiment of the present disclosure
- FIG. 2 is a schematic structural diagram of a matrix P provided by an embodiment of the present application.
- FIG. 5 is a schematic structural diagram of an LDPC check matrix supporting redundancy increment provided by an embodiment of the present application
- FIG. 6 is a schematic diagram of a set of cyclic matrix sizes Z supported by a 5G LDPC requirement provided by an embodiment of the present application;
- FIG. 7 is a schematic structural diagram of a Base graph #2 according to an embodiment of the present disclosure.
- FIG. 8 is a schematic structural diagram of a first cyclic coefficient exponent matrix according to an embodiment of the present disclosure.
- FIG. 9 is a schematic structural diagram of a second cyclic coefficient exponent matrix according to an embodiment of the present disclosure.
- FIG. 10 is a schematic structural diagram of a third cyclic coefficient exponent matrix according to an embodiment of the present application.
- FIG. 11 is a schematic structural diagram of a fourth cyclic coefficient exponent matrix according to an embodiment of the present disclosure.
- FIG. 12 is a schematic structural diagram of a fifth cyclic coefficient exponent matrix according to an embodiment of the present disclosure.
- FIG. 13 is a schematic structural diagram of a sixth cyclic coefficient exponent matrix according to an embodiment of the present disclosure.
- 15 is a schematic diagram of performance of an LDPC cyclic coefficient according to an embodiment of the present application.
- FIG. 16 is a schematic flowchart diagram of an encoding method according to an embodiment of the present application.
- FIG. 17 is a schematic structural diagram of an encoding apparatus according to an embodiment of the present disclosure.
- FIG. 18 is a schematic structural diagram of another encoding apparatus according to an embodiment of the present application.
- the embodiment of the present application provides an encoding method and device, and a computer storage medium, which are used to improve LDPC encoding performance, and thus are applicable to a 5G system.
- the technical solution provided by the embodiment of the present application provides LDPC coding for the data channel of the eMMB scenario instead of the turbo coding of the original long term evolution (LTE) system, that is, an LDPC coding scheme applicable to the 5G system.
- LTE long term evolution
- the 5G LDPC code design requires a quasi-cyclic LDPC code, and its check matrix H can be expressed as follows:
- a i,j is a z ⁇ z cyclic permutation matrix.
- a base matrix of size ⁇ c is constructed, and the elements of the matrix are not 0 or 1, as shown in FIG. 1 .
- each element of the base matrix B is expanded into a z ⁇ z Circular Permutation Matrix (CPM), and the 0 element of the base matrix is expanded to a z ⁇ z all-zero matrix, and the Base matrix B is later
- the original pattern map based LDPC construction method is called a base graph (BG).
- Each z ⁇ z cyclic permutation matrix is represented by P i , where the matrix P is a matrix obtained by shifting the unit array cycle one bit to the right, as shown in FIG.
- each cyclic permutation matrix P i is actually shifted by the unit array I by a right shift i, and the cyclic permutation matrix cyclic shift label i satisfies
- the cyclically shifted reference number i described above is also referred to as the shifting coefficients of the LDPC check matrix.
- the coefficient matrix thus obtained is also called a shifting coefficient exponent matrix (SEM).
- Fig. 4 shows an example of a cyclic coefficient index matrix.
- BG is a base graph of 3 rows and 6 columns, and each element in the base graph corresponds to a sub-circular matrix of 8 rows and 8 columns, and the base graph is replaced by a cyclic shift coefficient of each sub-circular matrix, wherein 0 is used by -1 Replace to get the cyclic coefficient exponent matrix.
- the sub-circular matrix (CM) corresponding to the quasi-cyclic LDPC code described above may have a column weight greater than 1, for example, a column weight of 2 or greater, and the sub-circulant matrix is no longer a cyclic permutation matrix (CPM).
- CPM cyclic permutation matrix
- the 5G LDPC code design must support IR (Incremental Redundancy)-HARQ (Hybrid Automatic Repeat Request). Therefore, the LDPC code for 5G scenarios can be constructed by incremental redundancy. Construct a high-rate LDPC code, then generate more parity bits by incremental redundancy, and then obtain a low-rate LDPC code.
- the LDPC code constructed based on the incremental redundancy method has excellent performance, code length, and code. It has the advantages of wide coverage, high reusability, easy hardware implementation, and can be directly encoded by the check matrix.
- An example of a specific structure is shown in FIG. Where B is a double diagonal or quasi-double diagonal matrix, C is a 0 matrix, and E is a lower triangular expansion matrix.
- the design of the LDPC check matrix depends mainly on the design of A, D, and E1.
- LDPC performance depends on two of the most important factors, one is the design of the base matrix, and the other is a z ⁇ z cyclic permutation matrix that expands each non-zero element in the base matrix into a way. These two factors play a decisive role in LDPC performance.
- the improper design of the base matrix and the extended sub-circulant permutation matrix can greatly deteriorate the performance of the LDPC code.
- the LDPC check matrix in the 5G design is being designed. Since the 5G requirement supports flexible LDPC, taking the eMBB data channel as an example, the 3GPP requires that up to two LDPC check matrixes obtained by two base graph extensions support up to 8 /9 code rate, the lowest 1/5, the longest information bit is 8448 bits shortest 40bits; the two base graphs, the large base graph is 46x68 columns, of which the first 22 columns correspond to information bits, the lowest code rate is 1/3 The small base graph size is 42x52 columns, and the lowest code rate is 1/5.
- the sub-circular matrix corresponding to each 1 of the base graph is expanded into a sub-circulant matrix of different sizes, that is, the size of the sub-circulant matrix.
- Z can support different values.
- the sub-circular matrix dimension Z a ⁇ 2 j required by the 3GPP is shown, and its value is as shown in FIG. 6.
- Each Z in the table shown in Figure 6 corresponds to a check matrix of the LDPC. It seems that the 5G LDPC code design requires a lot of check matrices to be designed. If a cyclic coefficient matrix is designed for each Z, it is not easy to store and the workload is huge.
- the first step is to determine the base graph based on the density evolution P-EXIT Chart decoding threshold (the lowest decoding threshold when the code length is infinitely long, that is, the lowest required SNR value), and the actual simulation performance;
- the second step constructing a cyclic coefficient exponential matrix, wherein each value of the cyclic coefficient represents a cyclic coefficient of a sub-matrix, and according to the foregoing description, the P i coefficient i is located at an exponential position, so here is called a cyclic coefficient index A matrix can also be called an exponent matrix.
- the second step specifically includes the following steps 1 through 4:
- Kb*Z is the length of information bits, where Kb is the number of columns of information bits in the base graph, which is different from the number K of information bits.
- Kb is the number of columns of information bits in the base graph, which is different from the number K of information bits.
- kb 22
- the classification of Z by size naturally equivalent to the size of the information bit length K classification.
- the integer power of 2 is an example. The smaller Z is denser, and the larger Z is sparse.
- Step 2 For each subset, for example, a set of cyclic coefficient exponential matrices can be generated by a combination of algebra and random. Among them, the random method is to randomly generate an exponential matrix, and then select the optimal one by subsequent methods. Algebraic methods, for example, can first construct a large exponential matrix and then use a random masked matrix to get an exponential matrix. As a result, 8 sets of cyclic coefficient exponential matrices are required for 8 subsets.
- Step 3 According to the cyclic coefficient exponential matrix determined in step two, further determine each Z in the previously described eight subsets (each set corresponds to a set of cyclic coefficient exponential matrices) and the Z elements outside the partial set
- the cyclic coefficient corresponding to Z since the Z element outside the set is considered in addition to considering the elements in the set in the embodiment of the present application, so that the coefficient exponent matrix has better adaptability, firstly because the Z in the set often still has Larger spacing, unable to achieve 1-bit granularity, considering the Z element outside the set to participate in the cyclic coefficient design, will increase the robustness of the coefficient exponential matrix to different Z performance, and the other gain is technically different.
- each subset produces an exponential matrix, which is actually generated according to the largest Z in the subset, and each specific Z coefficient in the subset is a function of the exponential matrix generated by the maximum Z, and the design loop coefficient is such that The performance of all Z's cyclic coefficients in the subset is excellent, and the exponential matrix corresponding to this subset is qualified.
- An example of a method for determining a cyclic coefficient corresponding to each Z according to a cyclic coefficient exponent matrix is that the cyclic coefficient P i,j can be calculated by the following function:
- V i,j is the cyclic coefficient corresponding to the (i,j)th element of the coefficient exponent matrix
- function f is defined as:
- Step 4 For all the Zs in each subset, for example, the minimum distance estimation of the ring distribution and the codeword is used as the basic measure, and the probabilities of the set-level cyclic coefficient exponential matrix determined in the second step are judged, and the ring number and the minimum distance are larger. The better the codeword performance. If the performance of the aggregation coefficient matrix of the collection level is not good, return to step two again.
- the ring distribution is a distribution of a ring length, for example, a rectangle has a ring length of 4, and the larger the better, the structure is not closed forever, and the figure is not closed, and the tree is called in the graph theory.
- the minimum distance is the smallest difference between any two codewords. The smaller the difference, the easier it is to distinguish, the worse the performance of the codeword. Therefore, only the minimum distance is large, and the coded codeword performance is good, so that the search is out.
- the third step according to the cyclic coefficient exponential matrix determined in the second step, each cyclic coefficient is expanded into a corresponding sub-circular matrix, and finally the parity check matrix H of the LDPC code is obtained.
- the H matrix is composed of 42 rows and 52 columns of sub-circular matrices. Substituting each sub-circulant matrix with 0 or 1 is a base graph. Each element of each base graph is replaced with a sub-circular matrix to obtain an H-matrix. The circular matrix replaces the 1 in the base graph, which is to design the cyclic coefficients of each sub-matrix. All the cyclic coefficients are described in a matrix as the cyclic coefficient exponential matrix.
- the fourth step using the check matrix H to complete the LDPC encoding, with the cyclic coefficient and Z, each sub-circle matrix is obtained directly, thereby obtaining the entire H matrix.
- the base graph #2 used in the 5G LDPC design is 42 rows and 52 columns.
- the base graph determined at present is shown in Fig. 7.
- 42 rows correspond to check nodes
- 52 columns correspond to variable nodes.
- Kb in the base graph is less than 10
- the set of the cyclic matrix size Z shown in FIG. 6 is classified according to a, that is, according to each column of FIG. 6, a has 8 different values, and correspondingly obtains 8 different Zs.
- the Z set corresponding to a 9
- the design consideration is considered.
- the girth distribution is as shown in Fig. 14. Since both are 6 rings and 8 rings, the performance is excellent.
- FIG. 15 An example of the LDPC performance of the base graph design shown in FIG. 8 to FIG. 13 is shown in FIG. 15. It can be seen that the performance of the LDPC code corresponding to the base graph in the embodiment of the present application is better.
- the method may further include:
- the sub-circulant matrix is updated using the updated cyclic coefficient exponent matrix.
- the update includes at least row and column permutation of matrix elements.
- the row and column permutation may be performed on the designed check matrix H.
- the row and column permutation includes the replacement of the row and column elements, and the matrix B in FIG.
- the double diagonal matrix shown and the lower triangular structure shown by the matrix E can maintain the double-pair angle and the lower triangular structure without replacing the other elements in the row and column.
- this permutation can be the exchange between different rows and columns of the exponential matrix, or it can be the exchange of internal rows or columns of a row of sub-circular matrices represented by one row in the exponential matrix, such as the first of the sub-circulant matrices.
- the row is replaced by the last row of the sub-circulant matrix, so that the response is the original coefficient value plus a certain value in the value of the exponential matrix.
- an encoding method provided by an embodiment of the present application includes:
- the constructing a cyclic coefficient index matrix specifically includes:
- Step 1 divide the set of dimension Z of the sub-circulant matrix that needs to be supported into multiple subsets
- Step 2 generating a set of cyclic coefficient exponential matrix for each of the subsets
- Step 3 Determine, according to the cyclic coefficient exponential matrix, a cyclic coefficient corresponding to Z of the plurality of subsets;
- Step 4 For each Z, it is detected whether the performance of the determined cyclic coefficient exponent matrix satisfies a preset condition, and if so, the process ends. Otherwise, step 2 is re-executed.
- Method 1 According to the value of a, divide Z into 8 subsets;
- Mode 3 According to the length of the information bits, Z is divided into 8 subsets.
- the step 3 specifically includes: determining a cyclic coefficient P i,j corresponding to each Z by using the following formula:
- V i,j is the cyclic coefficient corresponding to the (i,j)th element of the cyclic coefficient exponential matrix.
- the LDPC encoding is performed according to the sub-circulant matrix and the base graph, and specifically includes:
- the LDPC encoding is performed using the check matrix.
- the method further includes: performing row and column permutation on the check matrix;
- the LDPC encoding is performed by using the check matrix, and specifically includes: performing LDPC encoding by using a check matrix after row and column replacement.
- the row and column replacement of the check matrix includes:
- an encoding apparatus provided by an embodiment of the present application includes:
- the first unit 11 is configured to determine a base graph of a low density parity check code LDPC matrix, and construct a cyclic coefficient exponential matrix;
- a second unit 12 configured to determine a sub-circulation matrix according to the cyclic coefficient exponential matrix
- the third unit 13 is configured to perform LDPC encoding according to the sub-circulation matrix and the base graph.
- the first unit constructs a cyclic coefficient exponential matrix, and specifically includes:
- Step 1 divide the set of dimension Z of the sub-circulant matrix that needs to be supported into multiple subsets
- Step 2 generating a set of cyclic coefficient exponential matrix for each of the subsets
- Step 3 Determine, according to the cyclic coefficient exponential matrix, a cyclic coefficient corresponding to Z of the plurality of subsets;
- Step 4 For each Z, it is detected whether the performance of the determined cyclic coefficient exponent matrix satisfies a preset condition, and if so, the process ends. Otherwise, step 2 is re-executed.
- step one the first unit performs the method in one of the following manners step one:
- Method 1 According to the value of a, divide Z into 8 subsets;
- Mode 3 According to the length of the information bits, Z is divided into 8 subsets.
- the step 3 specifically includes: determining a cyclic coefficient P i,j corresponding to each Z by using the following formula:
- V i,j is the cyclic coefficient corresponding to the (i,j)th element of the cyclic coefficient exponential matrix.
- the third unit is specifically configured to:
- the LDPC encoding is performed using the check matrix.
- the third unit is further configured to perform row and column permutation on the check matrix after determining the check matrix;
- the third unit performs LDPC encoding by using the check matrix, and specifically includes: performing LDPC encoding by using a check matrix after row and column replacement.
- the third unit performs row and row replacement on the check matrix, and specifically includes:
- Another encoding apparatus includes a memory and a processor, wherein the memory is used to store program instructions, and the processor is configured to invoke program instructions stored in the memory, and execute according to the obtained program. Any of the above methods.
- a processor 500 for reading a program in the memory 520, performs the following process:
- LDPC encoding is performed according to the sub-circulant matrix and the base graph.
- the processor 500 constructs a cyclic coefficient exponent matrix, and specifically includes:
- Step 1 divide the set of dimension Z of the sub-circulant matrix that needs to be supported into multiple subsets
- Step 2 generating a set of cyclic coefficient exponential matrix for each of the subsets
- Step 3 Determine, according to the cyclic coefficient exponential matrix, a cyclic coefficient corresponding to Z of the plurality of subsets;
- Step 4 For each Z, it is detected whether the performance of the determined cyclic coefficient exponent matrix satisfies a preset condition, and if so, the process ends. Otherwise, step 2 is re-executed.
- step one the processor 500 performs the method in one of the following ways step one:
- Method 1 According to the value of a, divide Z into 8 subsets;
- Mode 3 According to the length of the information bits, Z is divided into 8 subsets.
- the step 3 specifically includes: determining a cyclic coefficient P i,j corresponding to each Z by using the following formula:
- V i,j is the cyclic coefficient corresponding to the (i,j)th element of the cyclic coefficient exponential matrix.
- the processor 500 performs LDPC encoding according to the sub-circulant matrix and the base graph, and specifically includes:
- the LDPC encoding is performed using the check matrix.
- the processor 500 is further configured to perform row and column permutation on the check matrix after determining the check matrix;
- the processor 500 performs LDPC encoding by using the check matrix, and specifically includes: performing LDPC encoding by using a check matrix after row and column replacement.
- the processor 500 performs row and row replacement on the check matrix, and specifically includes:
- the transceiver 510 is configured to receive and transmit data under the control of the processor 500.
- the bus architecture can include any number of interconnected buses and bridges, specifically linked by one or more processors represented by processor 500 and various circuits of memory represented by memory 520.
- the bus architecture can also link various other circuits such as peripherals, voltage regulators, and power management circuits, which are well known in the art and, therefore, will not be further described herein.
- the bus interface provides an interface.
- Transceiver 510 can be a plurality of components, including a transmitter and a transceiver, providing means for communicating with various other devices on a transmission medium.
- the processor 500 is responsible for managing the bus architecture and general processing, and the memory 520 can store data used by the processor 500 when performing operations.
- the processor 500 can be a central buried device (CPU), an application specific integrated circuit (ASIC), a field-programmable gate array (FPGA), or a complex programmable logic device (Complex Programmable Logic Device). , CPLD).
- CPU central buried device
- ASIC application specific integrated circuit
- FPGA field-programmable gate array
- CPLD complex programmable logic device
- the encoding device provided by the embodiment of the present invention can also be regarded as a computing device, and the computing device can be specifically a desktop computer, a portable computer, a smart phone, a tablet computer, a personal digital assistant (PDA), or the like.
- the computing device may include a central processing unit (CPU), a memory, an input/output device, etc.
- the input device may include a keyboard, a mouse, a touch screen, etc.
- the output device may include a display device such as a liquid crystal display (Liquid Crystal Display, LCD), cathode ray tube (CRT), etc.
- LCD liquid crystal display
- CRT cathode ray tube
- the memory can include read only memory (ROM) and random access memory (RAM) and provides the processor with program instructions and data stored in the memory.
- ROM read only memory
- RAM random access memory
- the memory may be used to store a program of the encoding method.
- the processor is configured to execute the above encoding method in accordance with the obtained program instructions by calling a program instruction stored in the memory.
- a computer storage medium provided by the embodiment of the present application is configured to store computer program instructions used by the computing device, and includes a program for executing the foregoing encoding method.
- the computer storage medium can be any available media or data storage device accessible by a computer, including but not limited to magnetic storage (eg, floppy disk, hard disk, magnetic tape, magneto-optical disk (MO), etc.), optical storage (eg, CD, DVD, BD, HVD, etc.), and semiconductor memories (for example, ROM, EPROM, EEPROM, non-volatile memory (NAND FLASH), solid-state hard disk (SSD)).
- magnetic storage eg, floppy disk, hard disk, magnetic tape, magneto-optical disk (MO), etc.
- optical storage eg, CD, DVD, BD, HVD, etc.
- semiconductor memories for example, ROM, EPROM, EEPROM, non-volatile memory (NAND FLASH), solid-state hard disk (SSD)).
- embodiments of the present application can be provided as a method, system, or computer program product.
- the present application can take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment in combination of software and hardware.
- the application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage and optical storage, etc.) including computer usable program code.
- the computer program instructions can also be stored in a computer readable memory that can direct a computer or other programmable data processing device to operate in a particular manner, such that the instructions stored in the computer readable memory produce an article of manufacture comprising the instruction device.
- the apparatus implements the functions specified in one or more blocks of a flow or a flow and/or block diagram of the flowchart.
- These computer program instructions can also be loaded onto a computer or other programmable data processing device such that a series of operational steps are performed on a computer or other programmable device to produce computer-implemented processing for execution on a computer or other programmable device.
- the instructions provide steps for implementing the functions specified in one or more of the flow or in a block or blocks of a flow diagram.
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Abstract
Description
Claims (32)
- 一种编码方法,其特征在于,该方法包括:确定低密度奇偶校验码LDPC矩阵的基础图base graph,并构造循环系数指数矩阵;根据所述循环系数指数矩阵,确定子循环矩阵;根据所述子循环矩阵以及所述base graph,进行LDPC编码。
- 根据权利要求1所述的方法,其特征在于,所述构造循环系数指数矩阵,具体包括:步骤一:将需要支持的子循环矩阵的维数Z的集合划分为多个子集;步骤二:针对每个所述子集,生成一套循环系数指数矩阵;步骤三:根据所述循环系数指数矩阵,确定多个子集的Z所对应的循环系数;步骤四:对每个Z,检测所确定的循环系数指数矩阵的性能是否满足预设条件,如果是,则结束,否则,重新执行步骤二。
- 根据权利要求2所述的方法,其特征在于,Z=a×2 j,采用下列方式之一执行所述步骤一:方式一:根据a的取值,将Z分成多个子集;方式二:根据j的取值,将Z分成多个子集;方式三:根据信息比特的长度,将Z分成多个子集。
- 根据权利要求1~10任一权项所述的方法,其特征在于,该方法还包括:对所述循环系数指数矩阵进行更新;利用更新后的循环系数指数矩阵,更新所述子循环矩阵。
- 根据权利要求11所述的方法,其特征在于,所述更新至少包括矩阵元素的行列置换。
- 根据权利要求1所述的方法,其特征在于,根据所述子循环矩阵以及所述base graph,进行LDPC编码,具体包括:根据所述子循环矩阵以及所述base graph,确定校验矩阵;利用所述校验矩阵,进行LDPC编码。
- 根据权利要求13所述的方法,其特征在于,确定校验矩阵之后,该方法还包括:对校验矩阵进行行列置换;利用所述校验矩阵,进行LDPC编码,具体包括:利用行列置换后的校验矩阵,进行LDPC编码。
- 根据权利要求14所述的方法,其特征在于,对所述校验矩阵进行行列置换,具体包括:对校验矩阵中的部分行和/或列元素进行更新,和/或,对校验矩阵中的全部行和/或列元素进行更新。
- 一种编码装置,其特征在于,包括:存储器,用于存储程序指令;处理器,用于调用所述存储器中存储的程序指令,按照获得的程序执行如下方法:确定低密度奇偶校验码LDPC矩阵的基础图base graph,并构造循环系数指数矩阵;根据所述循环系数指数矩阵,确定子循环矩阵;根据所述子循环矩阵以及所述base graph,进行LDPC编码。
- 根据权利要求16所述的装置,其特征在于,所述构造循环系数指数矩阵,具体包括:步骤一:将需要支持的子循环矩阵的维数Z的集合划分为多个子集;步骤二:针对每个所述子集,生成一套循环系数指数矩阵;步骤三:根据所述循环系数指数矩阵,确定多个子集的Z所对应的循环系数;步骤四:对每个Z,检测所确定的循环系数指数矩阵的性能是否满足预设条件,如果是,则结束,否则,重新执行步骤二。
- 根据权利要求17所述的装置,其特征在于,Z=a×2 j;采用下列方式之一执行所述步骤一:方式一:根据a的取值,将Z分成多个子集;方式二:根据j的取值,将Z分成多个子集;方式三:根据信息比特的长度,将Z分成多个子集。
- 根据权利要求16~25任一权项所述的装置,其特征在于,还包括:对所述循环系数指数矩阵进行更新;利用更新后的循环系数指数矩阵,更新所述子循环矩阵。
- 根据权利要求26所述的装置,其特征在于,所述更新至少包括矩阵元素的行列置换。
- 根据权利要求16所述的装置,其特征在于,根据所述子循环矩阵以及所述base graph,进行LDPC编码,具体包括:根据所述子循环矩阵以及所述base graph,确定校验矩阵;利用所述校验矩阵,进行LDPC编码。
- 根据权利要求28所述的装置,其特征在于,确定校验矩阵之后,还包括:对校验矩阵进行行列置换;利用所述校验矩阵,进行LDPC编码,具体包括:利用行列置换后的校验矩阵,进行LDPC编码。
- 根据权利要求29所述的装置,其特征在于,对所述校验矩阵进行行列置换,具体包括:对校验矩阵中的部分行和/或列元素进行更新,和/或,对校验矩阵中的全部行和/或列元素进行更新。
- 一种编码装置,其特征在于,包括:第一单元,用于确定低密度奇偶校验码LDPC矩阵的基础图base graph,并构造循环系数指数矩阵;第二单元,用于根据所述循环系数指数矩阵,确定子循环矩阵;第三单元,用于根据所述子循环矩阵以及所述base graph,进行LDPC编码。
- 一种计算机存储介质,其特征在于,所述计算机可读存储介质存储有计算机可执行指令,所述计算机可执行指令用于使所述计算机执行权利要求1至15任一项所述的方法。
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WO2021010512A1 (ko) * | 2019-07-16 | 2021-01-21 | 엘지전자 주식회사 | 무선 통신 시스템에서 프로토그래프로부터 생성된 저밀도 패리티 검사 부호의 패리티 검사 행렬에 기초하여 부호화를 수행하는 방법 및 장치 |
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