Shift-coefficient table design of QC-LDPC code for larger code block sizes in mobile communications
A processor of an apparatus establishes a wireless communication link with at least one other apparatus via a transceiver of the apparatus. The processor wirelessly communicates with the other apparatus via the wireless communication link by: selecting a first shift-coefficient table from a plurality of shift-coefficient tables; generating a QC-LDPC code using a base matrix and at least a portion of the first shift-coefficient table; selecting a codebook from a plurality of codebooks embedded in the QC-LDPC code; storing the selected codebook in a memory associated with the processor; encoding data using the selected codebook to generate a plurality of modulation symbols of the data; and controlling the transceiver to multiplex, convert, filter, amplify and radiate the modulation symbols as electromagnetic waves through one or more antennas of the apparatus to transmit the modulation symbols of the data to the other apparatus via the wireless communication link.
1. A method of wireless communication, comprising:
establishing, by a processor of an apparatus, a wireless communication link with at least one other apparatus via a transceiver of the apparatus; and
wirelessly communicating, by the processor, with the other apparatus via the wireless communication link by:
selecting a first shift-coefficient table from a plurality of shift-coefficient tables;
generating a quasi-cyclic-low-density parity-check (QC-LDPC) code using a base matrix and at least a portion of the first shift-coefficient table;
selecting a codebook from a plurality of codebooks embedded in the QC-LDPC code;
storing the selected codebook in a memory associated with the processor;
encoding data using the selected codebook to generate a plurality of modulation symbols of the data; and
controlling the transceiver to multiplex, convert, filter, amplify and radiate the modulation symbols as electromagnetic waves through one or more antennas of the apparatus to transmit the modulation symbols of the data to the other apparatus via the wireless communication link,
wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables comprises selecting the first shift-coefficient table according to one or more rules related to either or both of a code block size and a code rate of the data for relatively larger code block sizes.
2. The method of claim 1 , wherein the first shift-coefficient table comprises a basic shift-coefficient table arranged in four rows and twenty-six columns in a pattern as follows:
1
2
3
4
5
6
7
8
9
10
11
12
13
1
73
15
103
49
−1
240
39
−1
−1
15
162
215
164
2
303
−1
294
27
261
161
−1
133
4
80
−1
129
300
3
68
7
80
−1
280
38
227
202
200
71
106
−1
−1
4
220
208
−1
30
197
−1
61
175
79
−1
281
303
253
14
15
16
17
18
19
20
21
22
23
24
25
26
1
133
−1
298
110
−1
113
16
189
32
1
0
−1
−1
2
−1
76
266
72
83
−1
260
1
301
0
0
0
−1
3
295
283
301
−1
184
246
230
276
−1
−1
−1
0
0
4
164
53
−1
44
28
77
−1
319
68
1
−1
−1
0.
3. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table as shown in FIG. 18A and FIG. 18B .
4. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 1 (BG 1 ) with a primitive element of 5 (a=5) and a lifting factor of 320.
5. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 1 (BG 1 ) with a primitive element of 7 (a=7) and a lifting factor of 224.
6. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 1 (BG 1 ) with a primitive element of 15 (a=15) and a lifting factor of 240.
7. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 1 (BG 1 ) with a primitive element of 9 (a=9) and a lifting factor of 288.
8. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 1 (BG 1 ) with a primitive element of 11 (a=11) and a lifting factor of 352.
9. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 1 (BG 1 ) with a primitive element of 3 (a=3) and a lifting factor of 384.
10. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 1 (BG 1 ) with a primitive element of 13 (a=13) and a lifting factor of 208.
11. The method of claim 1 , wherein the first shift-coefficient table comprises a shift-coefficient table corresponding to base graph 1 (BG 1 ) with a primitive element of 2 (a=2) and a lifting factor of 256.
12. The method of claim 1 , wherein the generating of the QC-LDPC code using the base matrix and at least a portion of the first shift-coefficient table comprises generating the QC-LDPC code using the base matrix and a full portion of the first shift-coefficient table.
13. The method of claim 1 , wherein the generating of the QC-LDPC code using the base matrix and at least a portion of the first shift-coefficient table comprises generating the QC-LDPC code using the base matrix and a partial portion of the first shift-coefficient table.
14. The method of claim 1 , wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables comprises selecting a second shift-coefficient table a value of which modulo one or more lifting factors is same as a modulo result of at least the first shift-coefficient table.
15. The method of claim 14 , wherein the generating of the QC-LDPC code using the base matrix and at least a portion of the first shift-coefficient table comprises generating the QC-LDPC code using the base matrix and a full portion of the second shift-coefficient table.
16. The method of claim 14 , wherein the generating of the QC-LDPC code using the base matrix and at least a portion of the first shift-coefficient table comprises generating the QC-LDPC code using the base matrix and a partial portion of the second shift-coefficient table.
17. The method of claim 1 , wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables comprises:
determining whether the code block size is less than or equal to a threshold code block size; and
determining whether the code rate is less than or equal to a threshold code rate.
18. The method of claim 17 , wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables further comprises:
selecting the first shift-coefficient table which corresponds to base graph 1 (BG 1 ) responsive to a determination that the code block size is greater than the threshold code block size or responsive to a determination that the code rate is greater than the threshold code rate.
19. The method of claim 17 , wherein the selecting of the first shift-coefficient table from the plurality of shift-coefficient tables further comprises:
selecting the first shift-coefficient table which corresponds to base graph 2 (BG 2 ) responsive to a determination that the code block size is less than or equal to the threshold code block size and responsive to a determination that the code rate is less than or equal to the threshold code rate.
20. The method of claim 1 , wherein each codebook of the plurality of codebooks corresponds to a respective hybrid automatic repeat request (HARQ) threads of a plurality of HARQ threads that are different from one another.