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2016•IEEE Communications LettersRequires access

SC-LDPC Code With Nonuniform Degree Distribution Optimized by Using Genetic Algorithm

Yohei Koganei, Masanori Yofune, Cong Li, Takeshi Hoshida, Yasuharu Amezawa

Open publisher page 18 citations

Abstract

We propose a class of spatially-coupled low-density parity-check (SC-LDPC) codes consisting of a finite-length chain of component LDPC matrices which are assigned with different degree distributions, i.e., the strength of spatial coupling is nonuniform within an SC-LDPC code. For this class of codes, we use a modified density evolution algorithm to calculate the belief-propagation (BP) threshold on the binary erasure channel (BEC). We then optimize the degree distributions by a genetic algorithm where the BP-threshold is considered as the fitness value. The resultant codes were confirmed to exhibit improved decoding performance compared with SC-LDPC codes having uniform degree distributions.

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What this paper is about

We propose a class of spatially-coupled low-density parity-check (SC-LDPC) codes consisting of a finite-length chain of component LDPC matrices which are assigned with different degree distributions, i.e., the strength of spatial coupling is nonuniform within an SC-LDPC code. For this class of codes, we use a modified density evolution algorithm to calculate the belief-propagation (BP) threshold on the binary erasure channel (BEC). We then optimize the degree distributions by a genetic algorithm where the BP-threshold is considered as the fitness value. The resultant codes were confirmed to exhibit improved decoding performance compared with SC-LDPC codes having uniform degree distributions.

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OpenAlex reports 18 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We propose a class of spatially-coupled low-density parity-check (SC-LDPC) codes consisting of a finite-length chain of component LDPC matrices which are assigned with different degree distributions, i.e., the strength of spatial coupling is nonuniform within an SC-LDPC code. For this class of codes, we use a modified density evolution algorithm to calculate the belief-propagation (BP) threshold on the binary erasure channel (BEC). We then optimize the degree distributions by a genetic algorithm where the BP-threshold is considered as the fitness value. The resultant codes were confirmed to exhibit improved decoding performance compared with SC-LDPC codes having uniform degree distributions.

Key concepts: Low-density parity-check code, Binary erasure channel, Degree distribution, Algorithm, Degree (music), Decoding methods, Belief propagation, Mathematics

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