Low-density parity-check codes from DVB-S.2 standard


H = dvbs2ldpc(r)


H = dvbs2ldpc(r) returns the parity-check matrix of the LDPC code with code rate r from the DVB-S.2 standard. H is a sparse logical matrix.

Possible values for r are 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, 3/4, 4/5, 5/6, 8/9, and 9/10. The block length of the code is 64800.

The default parity-check matrix (32400-by-64800) corresponds to an irregular LDPC code with the structure shown in the following table.

RowNumber of 1s Per Row
2 to 324007

ColumnNumber of 1s Per Column
1 to 129608
12961 to 324003

Columns 32401 to 64800 form a lower triangular matrix. Only the elements on its main diagonal and the subdiagonal immediately below are 1s. This LDPC code is used in conjunction with a BCH code in the Digital Video Broadcasting standard DVB-S.2 to achieve a packet error rate below 107 at about 0.7 dB to 1 dB from the Shannon limit.


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Create an LDPC parity check matrix for a code rate of 3/5 from the DVB-S.2 standard.

p = dvbs2ldpc(3/5);

Create an LDPC encoder object from the parity check matrix p.

enc = comm.LDPCEncoder(p);

The parity check matrix has dimensions of (N-K)-by-N. Determine the length of the input message.

msgLength = size(p,2) - size(p,1)
msgLength = 38880

Extended Capabilities

Introduced in R2007a