Open AccessRate‐compatible QC‐LDPC codes based on PEXIT
Author(s) -
Liu Yuanhua
Publication year - 2018
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2018.0915
Subject(s) - low density parity check code , forward error correction , error floor , turbo code , serial concatenated convolutional codes , computer science , block code , concatenated error correction code , tornado code , mathematics , electronic engineering , algorithm , decoding methods , engineering
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.