A new approach to optimise Non-Binary LDPC codes for Coded Modulations

Ahmed Abdmouleh (1, 2, 3) , Emmanuel Boutillon (1, 3) , Laura Conde-Canencia (1, 3) , Charbel Abdel Nour (4, 2) , Catherine Douillard (4, 2)

1 Lab-STICC_UBS_CACS_IAS
2 ELEC - Département Electronique
3 UBS - Université de Bretagne Sud
4 Lab-STICC_TB_CACS_IAS

This paper is dedicated to the optimisation of Non-Binary LDPC codes when associated to high-order modulations. To be specific, we propose to specify the values of the non-zero NB-LDPC parity matrix coefficients depending on the corresponding check node equation and the Euclidean distance of the coded modulation. In other words, we explore the joint optimisation of the modulation mapping and the non-binary matrix. The performance gains announced by a theoretical analysis based on the Union Bound are confirmed by simulations results. We obtain an 0.2-dB gain in the high SNR regime compared to other state-of-the-art matrices.

Mots clés: NB-LDPC

Domaines: Electronique

Ahmed Abdmouleh, Emmanuel Boutillon, Laura Conde-Canencia, Charbel Abdel Nour, Catherine Douillard. A new approach to optimise Non-Binary LDPC codes for Coded Modulations. ISTC 2016 : 9th International Symposium on Turbo Codes & Iterative Information Processing, Sep 2016, Brest, France. pp.295-299, ⟨10.1109/ISTC.2016.7593124⟩. ⟨hal-01365554⟩