LDPC (low-density parity-check) code check matrix construction method, LDPC code check matrix construction device, encoding method and encoding system
An LDPC code and check matrix technology, which is applied in the field of low-density parity check code check matrix construction, can solve the problems that quasi-cyclic LDPC codes cannot be approximated, affect code set performance, etc., so as to reduce implementation complexity and improve performance. Effect of link margin, solution degree distribution problem
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specific Embodiment 1
[0063] Construct an LDPC code with a code rate of 1 / 2 suitable for the CMMB system.
[0064] In order to be compatible with the physical layer structure of the CMMB system, the code length N is selected as 9216, which means that a 4608×9216-dimensional check matrix H must be constructed. Calculate the set Φ of common factors of 4608 and 9216. In order to be compatible with LDPC codes of 1 / 2 and 3 / 4 code rates in the CMMB system, the expansion ratio K is selected as 256. In this way, the dimension of the transition basis matrix BT is 18×36.
[0065] Select the row redistribution and column redistribution of the check matrix H. Preferably, the row redistribution of H is {λ7, λ8, λ9, λ10}={17 / 288, 223 / 288, 1 / 18, 2 / 18}, and the column redistribution is {ρ15, ρ14, ρ5, ρ4, ρ3, ρ2}={7 / 64, 1 / 576, 1 / 9, 1 / 36, 5 / 18, 17 / 36}.
[0066] Since the expansion ratio is selected as 256, only part of the row redistribution and column redistribution can be adapted.
[0067] After calculation, the row re...
specific Embodiment 2
[0099] Construct an LDPC code with a code rate of 3 / 4 suitable for the CMMB system.
[0100] In order to be compatible with the physical layer structure of the CMMB system, the code length N is selected as 9216, that is, a 2304×9216-dimensional check matrix H is to be constructed.
[0101] Calculate the set Φ of the common factors of 2304 and 9216, and select the appropriate expansion ratio KεΦ. In order to be compatible with LDPC codes of 1 / 2 and 3 / 4 code rates in the CMMB system, the expansion ratio K is selected as 256. In this way, the dimension of the basic matrix BT is 9×36.
[0102] Select the row redistribution and column redistribution of the check matrix H.
[0103] Preferably, the row redistribution of H is {λ16, λ15, λ14}={15 / 144, 1 / 144, 8 / 9}, and the column redistribution is {ρ9, ρ8, ρ5, ρ4, ρ3, ρ2}={ 35 / 576, 1 / 576, 1 / 9, 2 / 9, 7 / 18, 2 / 9}.
[0104] Since the expansion ratio is selected as 256, only part of the row redistribution and column redistribution can be adapted. A...
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