Low density parity check encoder having length of 16200 and code rate of 3/15, and low density parity check encoding method using the same
A low density parity check (LDPC) encoder, an LDPC decoder, and an LDPC encoding method are disclosed. The LDPC encoder includes first memory, second memory, and a processor. The first memory stores an LDPC codeword having a length of 16200 and a code rate of 3/15. The second memory is initialized to 0. The processor generates the LDPC codeword corresponding to information bits by performing accumulation with respect to the second memory using a sequence corresponding to a parity check matrix (PCM).
1. A low density parity check (LDPC) encoder, comprising:
first memory configured to store an LDPC codeword having a length of 16200 and a code rate of 3/15;
second memory configured to be initialized to 0; and
a processor configured to generate the LDPC codeword corresponding to information bits by performing accumulation with respect to the second memory using a sequence corresponding to a parity check matrix (PCM),
wherein the sequence is represented by the following Sequence Table:
Sequence Table
1st row:
8 372 841 4522 5253 7430 8542 9822 10550 11896 11988
2nd row:
80 255 667 1511 3549 5239 5422 5497 7157 7854 11267
3rd row:
257 406 792 2916 3072 3214 3638 4090 8175 8892 9003
4th row:
80 150 346 1883 6838 7818 9482 10366 10514 11468 12341
5th row:
32 100 978 3493 6751 7787 8496 10170 10318 10451 12561
6th row:
504 803 856 2048 6775 7631 8110 8221 8371 9443 10990
7th row:
152 283 696 1164 4514 4649 7260 7370 11925 11986 12092
8th row:
127 1034 1044 1842 3184 3397 5931 7577 11898 12339
12689
9th row:
107 513 979 3934 4374 4658 7286 7809 8830 10804 10893
10th row:
2045 2499 7197 8887 9420 9922 10132 10540 10816 11876
11st row:
2932 6241 7136 7835 8541 9403 9817 11679 12377 12810
12nd row:
2211 2288 3937 4310 5952 6597 9692 10445 11064 11272.
2. The LDPC encoder of claim 1 , wherein the LDPC codeword comprises a systematic part corresponding to the information bits and having a length of 3240, a first parity part corresponding to a dual diagonal matrix included in the PCM and having a length of 1080, and a second parity part corresponding to an identity matrix included in the PCM and having a length of 11880.
3. The LDPC encoder of claim 2 , wherein the sequence has a number of rows equal to a sum of a value obtained by dividing a length of the systematic part by a circulant permutation matrix (CPM) size corresponding to the PCM, and a value obtained by dividing a length of the first parity part by the CPM size.
4. The LDPC encoder of claim 3 , wherein the CPM size is 360.
5. The LDPC encoder of claim 1 , wherein the accumulation is performed at parity bit addresses that are updated using the sequence.
6. The LDPC encoder of claim 5 , wherein the accumulation is performed while the rows of the sequence are being repeatedly changed by a CPM size of the PCM.