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, *
* Auteur correspondant
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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Communication dans un congrès
IEEE Wireless Communications and Networking Conference (WCNC'13), Apr 2013, Shanghai, China. IEEE, 2013
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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), Apr 2013, Shanghai, China. IEEE, 2013. 〈hal-00781921〉

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