Low-rate coding using incremental redundancy for GLDPC codes

Mathieu Cunche (1) , Valentin Savin (2) , Vincent Roca (1) , Ghassan Kraidy (2) , Alexandre Soro (3) , Jérôme Lacan (3)

1 PLANETE - Protocols and applications for the Internet
2 CEA-LETI - Commissariat à l'énergie atomique et aux énergies alternatives - Laboratoire d'Electronique et de Technologie de l'Information
3 ISAE-SUPAERO - Institut Supérieur de l'Aéronautique et de l'Espace

In this paper we propose a low-rate coding method, suited for application-layer forward error correction. Depending on channel conditions, the coding scheme we propose can switch from a fixed-rate LDPC code to various low-rate GLDPC codes. The source symbols are first encoded by using a staircase or triangular LDPC code. If additional symbols are needed, the encoder is then switched to the GLDPC mode and extra-repair symbols are produced, on demand. In order to ensure small overheads, we consider irregular distributions of extra-repair symbols optimized by density evolution techniques. We also show that increasing the number of extra-repair symbols improves the successful decoding probability, which becomes very close to 1for sufficiently many extra-repair symbols.

Domaines: Théorie de l'information [cs.IT]; Théorie de l'information et codage [math.IT]

Mathieu Cunche, Valentin Savin, Vincent Roca, Ghassan Kraidy, Alexandre Soro, et al.. Low-rate coding using incremental redundancy for GLDPC codes. IEEE International Workshop on Satellite and Space Communications 2008 (IWSSC'08), Oct 2008, Toulouse, France. ⟨inria-00305684⟩