Good coupling between LDPC-Staircase and Reed-Solomon for the design of GLDPC codes for the Erasure Channel

Ferdaouss Mattoussi 1 Bessem Sayadi 2 Vincent Roca 1, *
* Corresponding author
1 PLANETE - Protocols and applications for the Internet
Inria Grenoble - Rhône-Alpes, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : In this paper we analyze the design of Generalized LDPC-staircase (GLDPC-staircase) codes, where the base code is an LDPC-Staircase code and component codes are Reed-Solomon codes. More precisely we compare two schemes: scheme A has the property that on each check node of the base code the repair symbol generated by the LDPC code is also a Reed- Solomon repair symbol. On the opposite, with scheme B for each check node the repair symbols generated by the LDPC code are Reed-Solomon source symbols. In this work we perform a behavioral analysis of the two schemes in order to determine the best one for ITerative + Reed Solomon (IT+RS) and Maximum Likelihood (ML) decoding. To that purpose we use an asymptotic analysis using Density evolution (DE) and EXtrinsic Information Transfer techniques, as well as a finite length analysis. We show that scheme A is globally the best solution since it significantly performs better than scheme B with an (IT+RS) decoding and yields similar performance with ML decoding.
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Ferdaouss Mattoussi, Bessem Sayadi, Vincent Roca. Good coupling between LDPC-Staircase and Reed-Solomon for the design of GLDPC codes for the Erasure Channel. IEEE Wireless Communications and Networking Conference (WCNC'13), Xiaohu You( Southeast University), Jiangzhou Wang (University of Kent), Apr 2013, Shanghai, China. ⟨hal-00781921⟩

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