Rate-compatible QC-LDPC codes based on PEXIT

An improved extension method based on protograph extrinsic information transfer (PEXIT) charts is proposed to design rate-compatible quasi-cyclic low-density parity-check (QC-LDPC) codes with more flexible rates and better performance. The masking matrix of the highest-rate code can first be constru...

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Bibliographic Details
Published in:Electronics letters 2018-09, Vol.54 (19), p.1120-1122
Main Author: Liu, Yuan-hua
Format: Article
Language:English
Subjects:
cyclic codes
decoding
highest‐rate code
improved extension method
Information and communications
lower‐rate codes
lowest decoding threshold
masking matrices
matrix algebra
matrix extension
parity check codes
parity‐check matrices
PEXIT charts
protograph extrinsic information transfer charts
rate‐compatible QC‐LDPC codes
rate‐compatible quasi‐cyclic low‐density parity‐check codes
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Summary:An improved extension method based on protograph extrinsic information transfer (PEXIT) charts is proposed to design rate-compatible quasi-cyclic low-density parity-check (QC-LDPC) codes with more flexible rates and better performance. The masking matrix of the highest-rate code can first be constructed column by column to own the lowest decoding threshold. Then, an extension algorithm is proposed to obtain the masking matrices of lower-rate codes with flexible rates. Finally, the base matrices with small amount of short cycles are designed and the parity-check matrices of rate-compatible QC-LDPC codes are obtained through matrix extension. Simulations show that compared with the existing codes, the proposed codes have more flexible rates while achieving better performance.
ISSN:0013-5194
1350-911X
1350-911X
DOI:10.1049/el.2018.0915