Method and apparatus for low density parity check channel coding in wireless communication system
Embodiments of this application disclose provides a low density parity check (LDPC) channel encoding method for use in a wireless communications system. A communication device encodes an input bit sequence by using a LDPC matrix, to obtain an encoded bit sequence for transmission. The LDPC matrix is obtained based on a lifting factor Z and a base matrix. Embodiments of the application provide eight particular designs of the base matrix. The encoding method provided in the embodiments of the application can be used in various communications systems including the fifth generation (5G) telecommunication systems, and can support various encoding requirements for information bit sequences with different code lengths.
1. An apparatus for wireless communication, comprising at least one processor configured to:
determine a lifting factor Z; and
encode an input sequence based on a low density parity check (LDPC) matrix,
wherein the LDPC matrix is identified based on a matrix H B and the lifting factor Z, and wherein non-zero-elements of the matrix H B whose row indexes (i), column indexes (j), and corresponding values are as follows:
matrix H B
row
indexes (i)
column indexes (j)
V i, j
0
0, 1, 2, 3, 6, 9, 10, 11
0, 0, 0, 0, 0, 0, 0, 0
1
0, 3, 4, 5, 6, 7, 8, 9, 11, 12
137, 124, 0, 0, 88, 0, 0, 55, 0, 0
2
0, 1, 3, 4, 8, 10, 12, 13
20, 94, 99, 9, 108, 1, 0, 0
3
1, 2, 4, 5, 6, 7, 8, 9, 10, 13
38, 15, 102, 146, 12, 57, 53,
46, 0, 0
4
0, 1, 11, 14
0, 136, 157, 0
5
0, 1, 5, 7, 11, 15
0, 131, 142, 141, 64, 0
6
0, 5, 7, 9, 11, 16
0, 124, 99, 45, 148, 0
7
1, 5, 7, 11, 13, 17
0, 45, 148, 96, 78, 0
8
0, 1, 12, 18
0, 65, 87, 0
9
1, 8, 10, 11, 19
0, 97, 51, 85, 0
10
0, 1, 6, 7, 20
0, 17, 156, 20, 0
11
0, 7, 9, 13, 21
0, 7, 4, 2, 0
12
1, 3, 11, 22
0, 113, 48, 0
13
0, 1, 8, 13, 23
0, 112, 102, 26, 0
14
1, 6, 11, 13, 24
0, 138, 57, 27, 0
15
0, 10, 11, 25
0, 73, 99, 0
16
1, 9, 11, 12, 26
0, 79, 111, 143, 0
17
1, 5, 11, 12, 27
0, 24, 109, 18, 0
18
0, 6, 7, 28
0, 18, 86, 0
19
0, 1, 10, 29
0, 158, 154, 0
20
1, 4, 11, 30
0, 148, 104, 0
21
0, 8, 13, 31
0, 17, 33, 0
22
1, 2, 32
0, 4, 0
23
0, 3, 5, 33
0, 75, 158, 0
24
1, 2, 9, 34
0, 69, 87, 0
25
0, 5, 35
0, 65, 0
26
2, 7, 12, 13, 36
0, 100, 13, 7, 0
27
0, 6, 37
0, 32, 0
28
1, 2, 5, 38
0, 126, 110, 0
29
0, 4, 39
0, 154, 0
30
2, 5, 7, 9, 40
0, 35, 51, 134, 0
31
1, 13, 41
0, 20, 0
32
0, 5, 12, 42
0, 20, 122, 0
33
2, 7, 10, 43
0, 88, 13, 0
34
0, 12, 13, 44
0, 19, 78, 0
35
1, 5, 11, 45
0, 157, 6, 0
36
0, 2, 7, 46
0, 63, 82, 0
37
10, 13, 47
0, 144, 0
38
1, 5, 11, 48
0, 93, 19, 0
39
0, 7, 12, 49
0, 24, 138, 0
40
2, 10, 13, 50
0, 36, 143, 0
41
1, 5, 11, 51
0, 2, 55, 0.
2. The apparatus according to claim 1 , wherein the at least one processor is configured to:
determine the matrix H B according to a set index of the lifting factor Z.
3. The apparatus according to claim 1 , wherein the lifting factor Z is determined based on following sets of lifting factors, wherein each of the sets of lifting factors is identified by a set index:
{2, 4, 8, 16, 32, 64, 128, 256};
{3, 6, 12, 24, 48, 96, 192, 384};
{5, 10, 20, 40, 80, 160, 320};
{7, 14, 28, 56, 112, 224};
{9, 18, 36, 72, 144, 288};
{11, 22, 44, 88, 176, 352};
{13, 26, 52, 104, 208}; and
{15, 30, 60, 120, 240}.
4. The apparatus according to claim 1 , wherein the lifting factor Z is one of 5, 10, 20, 40, 80, 160 and 320.
5. The apparatus according to claim 1 , wherein all elements except the non-zero-elements in the matrix H B are zero elements.
6. The apparatus according to claim 5 , wherein the LDPC matrix is identified based on the matrix H B by replacing the zero-elements of the matrix H B with all zero matrices of size Z×Z, and replacing the non-zero-elements of the matrix H B with circular permutation matrices.
7. The apparatus according to claim 6 , wherein each circular permutation matrix respectively corresponds to a Z×Z identity matrix circularly shifted to the right for P i,j times, wherein P i,j =mod(V i,j ,Z).
8. The apparatus according to claim 1 , comprising at least one memory configured to store one or more of the following:
parameters associated with the matrix H B ;
the matrix H B ;
the lifting factor Z; or
a transformed matrix of the matrix H B .
9. The apparatus according to claim 1 , comprising a transceiver configured to:
receive a signal,
wherein the at least one processor is configured to decode the signal based on the matrix H B .
10. A method for wireless communication, comprising:
determining a lifting factor Z; and
encoding an input sequence based on a low density parity check (LDPC) matrix,
wherein the LDPC matrix is identified based on a matrix H B and the lifting factor Z, and wherein non-zero-elements of the matrix H B whose row indexes (i), column indexes (j), and corresponding values V i,j are as follows:
matrix H B
row
indexes (i)
column indexes (j)
V i, j
0
0, 1, 2, 3, 6, 9, 10, 11
0, 0, 0, 0, 0, 0, 0, 0
1
0, 3, 4, 5, 6, 7, 8, 9, 11, 12
137, 124, 0, 0, 88, 0, 0, 55, 0, 0
2
0, 1, 3, 4, 8, 10, 12, 13
20, 94, 99, 9, 108, 1, 0, 0
3
1, 2, 4, 5, 6, 7, 8, 9, 10, 13
38, 15, 102, 146, 12, 57, 53,
46, 0, 0
4
0, 1, 11, 14
0, 136, 157, 0
5
0, 1, 5, 7, 11, 15
0, 131, 142, 141, 64, 0
6
0, 5, 7, 9, 11, 16
0, 124, 99, 45, 148, 0
7
1, 5, 7, 11, 13, 17
0, 45, 148, 96, 78, 0
8
0, 1, 12, 18
0, 65, 87, 0
9
1, 8, 10, 11, 19
0, 97, 51, 85, 0
10
0, 1, 6, 7, 20
0, 17, 156, 20, 0
11
0, 7, 9, 13, 21
0, 7, 4, 2, 0
12
1, 3, 11, 22
0, 113, 48, 0
13
0, 1, 8, 13, 23
0, 112, 102, 26, 0
14
1, 6, 11, 13, 24
0, 138, 57, 27, 0
15
0, 10, 11, 25
0, 73, 99, 0
16
1, 9, 11, 12, 26
0, 79, 111, 143, 0
17
1, 5, 11, 12, 27
0, 24, 109, 18, 0
18
0, 6, 7, 28
0, 18, 86, 0
19
0, 1, 10, 29
0, 158, 154, 0
20
1, 4, 11, 30
0, 148, 104, 0
21
0, 8, 13, 31
0, 17, 33, 0
22
1, 2, 32
0, 4, 0
23
0, 3, 5, 33
0, 75, 158, 0
24
1, 2, 9, 34
0, 69, 87, 0
25
0, 5, 35
0, 65, 0
26
2, 7, 12, 13, 36
0, 100, 13, 7, 0
27
0, 6, 37
0, 32, 0
28
1, 2, 5, 38
0, 126, 110, 0
29
0, 4, 39
0, 154, 0
30
2, 5, 7, 9, 40
0, 35, 51, 134, 0
31
1, 13, 41
0, 20, 0
32
0, 5, 12, 42
0, 20, 122, 0
33
2, 7, 10, 43
0, 88, 13, 0
34
0, 12, 13, 44
0, 19, 78, 0
35
1, 5, 11, 45
0, 157, 6, 0
36
0, 2, 7, 46
0, 63, 82, 0
37
10, 13, 47
0, 144, 0
38
1, 5, 11, 48
0, 93, 19, 0
39
0, 7, 12, 49
0, 24, 138, 0
40
2, 10, 13, 50
0, 36, 143, 0
41
1, 5, 11, 51
0, 2, 55, 0.
11. The method according to claim 10 , further comprising:
determining the matrix H B according to a set index of the lifting factor Z.
12. The method according to claim 10 , wherein the lifting factor Z is determined based on following sets of lifting factors, wherein each of the sets of lifting factors is identified by a set index:
{2, 4, 8, 16, 32, 64, 128, 256};
{3, 6, 12, 24, 48, 96, 192, 384};
{5, 10, 20, 40, 80, 160, 320};
{7, 14, 28, 56, 112, 224};
{9, 18, 36, 72, 144, 288};
{11, 22, 44, 88, 176, 352};
{13, 26, 52, 104, 208}; and
{15, 30, 60, 120, 240}.
13. The method according to claim 10 , wherein the lifting factor Z is one of 5, 10, 20, 40, 80, 160 and 320.
14. The method according to claim 10 , wherein all elements except the non-zero-elements in the matrix H B are zero elements.
15. The method according to claim 14 , wherein the LDPC matrix is identified based on the matrix H B by replacing the zero-elements of the matrix H B with all zero matrices of size Z×Z, and replacing the non-zero-elements of the matrix H B with circular permutation matrices.
16. The method according to claim 15 , wherein each circular permutation matrix respectively corresponds to a Z×Z identity matrix circularly shifted to the right for P i,j times, wherein P i,j =mod(V i,j ,Z).
17. The method according to claim 10 , further comprising:
receiving a signal; and
decoding the signal based on the matrix H B .
18. A computer-readable storage medium having instructions stored thereon that, when executed by a processor, cause a computer to perform a process that comprises:
determining a lifting factor Z; and
encoding an input sequence based on a low density parity check (LDPC) matrix,
wherein the LDPC matrix is identified based on a matrix H B and the lifting factor Z, and wherein non-zero-elements of the matrix H B whose row indexes (i), column indexes (j), and corresponding values V1, are as follows:
matrix H B
row
indexes (i)
column indexes (j)
V i, j
0
0, 1, 2, 3, 6, 9, 10, 11
0, 0, 0, 0, 0, 0, 0, 0
1
0, 3, 4, 5, 6, 7, 8, 9, 11, 12
137, 124, 0, 0, 88, 0, 0, 55, 0, 0
2
0, 1, 3, 4, 8, 10, 12, 13
20, 94, 99, 9, 108, 1, 0, 0
3
1, 2, 4, 5, 6, 7, 8, 9, 10, 13
38, 15, 102, 146, 12, 57, 53,
46, 0, 0
4
0, 1, 11, 14
0, 136, 157, 0
5
0, 1, 5, 7, 11, 15
0, 131, 142, 141, 64, 0
6
0, 5, 7, 9, 11, 16
0, 124, 99, 45, 148, 0
7
1, 5, 7, 11, 13, 17
0, 45, 148, 96, 78, 0
8
0, 1, 12, 18
0, 65, 87, 0
9
1, 8, 10, 11, 19
0, 97, 51, 85, 0
10
0, 1, 6, 7, 20
0, 17, 156, 20, 0
11
0, 7, 9, 13, 21
0, 7, 4, 2, 0
12
1, 3, 11, 22
0, 113, 48, 0
13
0, 1, 8, 13, 23
0, 112, 102, 26, 0
14
1, 6, 11, 13, 24
0, 138, 57, 27, 0
15
0, 10, 11, 25
0, 73, 99, 0
16
1, 9, 11, 12, 26
0, 79, 111, 143, 0
17
1, 5, 11, 12, 27
0, 24, 109, 18, 0
18
0, 6, 7, 28
0, 18, 86, 0
19
0, 1, 10, 29
0, 158, 154, 0
20
1, 4, 11, 30
0, 148, 104, 0
21
0, 8, 13, 31
0, 17, 33, 0
22
1, 2, 32
0, 4, 0
23
0, 3, 5, 33
0, 75, 158, 0
24
1, 2, 9, 34
0, 69, 87, 0
25
0, 5, 35
0, 65, 0
26
2, 7, 12, 13, 36
0, 100, 13, 7, 0
27
0, 6, 37
0, 32, 0
28
1, 2, 5, 38
0, 126, 110, 0
29
0, 4, 39
0, 154, 0
30
2, 5, 7, 9, 40
0, 35, 51, 134, 0
31
1, 13, 41
0, 20, 0
32
0, 5, 12, 42
0, 20, 122, 0
33
2, 7, 10, 43
0, 88, 13, 0
34
0, 12, 13, 44
0, 19, 78, 0
35
1, 5, 11, 45
0, 157, 6, 0
36
0, 2, 7, 46
0, 63, 82, 0
37
10, 13, 47
0, 144, 0
38
1, 5, 11, 48
0, 93, 19, 0
39
0, 7, 12, 49
0, 24, 138, 0
40
2, 10, 13, 50
0, 36, 143, 0
41
1, 5, 11, 51
0, 2, 55, 0.
19. The computer-readable storage medium according to claim 18 , wherein the lifting factor Z is one of 5, 10, 20, 40, 80, 160 and 320.
20. The computer-readable storage medium according to claim 19 , wherein the computer-readable storage medium is configured to store one or more of the following:
parameters associated with the matrix H B ;
the matrix H B ;
the lifting factor Z; or
a transformed matrix of the matrix H B .