Density Evolution for Deterministic Generalized Product Codes with Higher-Order Modulation
Paper in proceedings, 2016

Generalized product codes (GPCs) are extensions of product codes (PCs) where coded bits are protected by two component codes but not necessarily arranged in a rectangular array. It has recently been shown that there exists a large class of deterministic GPCs (including, e.g., irregular PCs, half-product codes, staircase codes, and certain braided codes) for which the asymptotic performance under iterative bounded-distance decoding over the binary erasure channel (BEC) can be rigorously characterized in terms of a density evolution analysis. In this paper, the analysis is extended to the case where transmission takes place over parallel BECs with different erasure probabilities. We use this model to predict the code performance in a coded modulation setup with higher-order signal constellations. We also discuss the design of the bit mapper that determines the allocation of the coded bits to the modulation bits of the signal constellation.

Author

Christian Häger

Signals and Systems, Kommunikationssystem, informationsteori och antenner, Communication Systems

Alexandre Graell i Amat

Signals and Systems, Kommunikationssystem, informationsteori och antenner, Communication Systems

Henry D. Pfister

Duke University

Fredrik Brännström

Signals and Systems, Kommunikationssystem, informationsteori och antenner, Communication Systems

International Symposium on Turbo Codes and Iterative Information Processing, ISTC

21654700 (ISSN) 21654719 (eISSN)

236-240 7593112

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

Communication Systems

DOI

10.1109/ISTC.2016.7593112

ISBN

978-1-5090-3401-7