Method and apparatus for low density parity check channel coding in wireless communication system

A communication apparatus comprising at least one processor and at least one non-transitory memory having processor-executable instructions stored thereon, wherein the at least one processor is configured to execute the processor-executable instructions to perform the following:

• obtaining an input sequence;
• decoding the input sequence using a matrix H to obtain a decoded sequence, wherein the decoded sequence comprises K bits, and wherein K>1;
• and
• output the decoded sequence;
• wherein the matrix H is determined according to a base matrix and a lifting factor Z, and wherein Z is a positive integer;
• wherein the base matrix comprises m rows and n columns, wherein m and n are integers;
• wherein each element in the base matrix corresponds to a respective row index i and a respective column index j, where 0≤i<m and 0≤j<n;
• wherein each element in the base matrix is either a zero-element or a non-zero-element;
• wherein each zero-element in the base matrix corresponds to an all-zero matrix of size Z×Z in the matrix H, and each non-zero-element at row i and column j corresponds to a circular permutation matrix of size Z×Z, wherein the circular permutation matrix is equal to a matrix obtained by circularly shifting an identity matrix of size Z×Z to the right for Pi,j times, wherein Pi,j=mod (Vi,j,Z), wherein Vi,j is a value corresponding to a non-zero-element at row i and column j, and wherein:
• with respect to row index i=0, for column indexes j=0, 1, 2, 3, 5, 6, 9, 10, 11, 12, 13, 15, 16, 18, 19, 20, 21, 22, 23, Vi,j is respectively 211, 198, 188, 186, 219, 4, 29, 144, 116, 216, 115, 233, 144, 95, 216, 73, 261, 1, 0;
• with respect to row index i=1, for column indexes j=0, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 21, 22, 23, 24, Vi,j is respectively 179, 162, 223, 256, 160, 76, 202, 117, 109, 15, 72, 152, 158, 147, 156, 119, 0, 0, 0;
• with respect to row index i=2, for column indexes j=0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 17, 18, 19, 20, 24, 25, Vi,j is respectively 258, 167, 220, 133, 243, 202, 218, 63, 0, 3, 74, 229, 0, 216, 269, 200, 234, 0, 0;
• with respect to row index i=3, for column indexes j=0, 1, 3, 4, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 25, Vi,j is respectively 187, 145, 166, 108, 82, 132, 197, 41, 162, 57, 36, 115, 242, 165, 0, 113, 108, 1, 0;
• and
• with respect to row index i=4, for column indexes j=0, 1, 26, Vi,j is respectively 246, 235, 0.

A non-transitory computer-readable storage medium having processor-executable instructions stored thereon, wherein the processor-executable instructions, when executed by a processor, facilitate performance of the following:

• obtaining an input sequence;
• decoding the input sequence using a matrix H to obtain a decoded sequence, wherein the decoded sequence comprises K bits, and wherein K>1;
• and
• outputting the decoded sequence;
• wherein the matrix H is determined according to a base matrix and a lifting factor Z, wherein Z is a positive integer;
• wherein the base matrix comprises m rows and n columns, wherein m and n are integers;
• wherein each element in the base matrix corresponds to a respective row index i and a respective column index j, where 0≤i<m and 0≤j<n;
• wherein each element in the base matrix is either a zero-element or a non-zero-element;
• wherein each zero-element in the base matrix corresponds to an all-zero matrix of size Z×Z in the matrix H, and each non-zero-element at row i and column j corresponds to a circular permutation matrix of size Z×Z, wherein the circular permutation matrix is equal to a matrix obtained by circularly shifting an identity matrix of size Z×Z to the right for Pi,j times, wherein =mod (Vi,j,Z), wherein Vi,j is a value corresponding to a non-zero-element at row i and column j, and wherein:
• with respect to row index i=0, for column indexes j=0, 1, 2, 3, 5, 6, 9, 10, 11, 12, 13, 15, 16, 18, 19, 20, 21, 22, 23, Vi,j is respectively 211, 198, 188, 186, 219, 4, 29, 144, 116, 216, 115, 233, 144, 95, 216, 73, 261, 1, 0;
• with respect to row index i=1, for column indexes j=0, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 21, 22, 23, 24, Vi,j is respectively 179, 162, 223, 256, 160, 76, 202, 117, 109, 15, 72, 152, 158, 147, 156, 119, 0, 0, 0;
• with respect to row index i=2, for column indexes j=0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 17, 18, 19, 20, 24, 25, Vi,j is respectively 258, 167, 220, 133, 243, 202, 218, 63, 0, 3, 74, 229, 0, 216, 269, 200, 234, 0, 0;
• with respect to row index i=3, for column indexes j=0, 1, 3, 4, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 25, Vi,j is respectively 187, 145, 166, 108, 82, 132, 197, 41, 162, 57, 36, 115, 242, 165, 0, 113, 108, 1, 0;
• and
• with respect to row index i=4, for column indexes j=0, 1, 26, Vi,j is respectively 246, 235, 0.