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Concatenated LDPC/Trellis Codes: Surpassing the Symmetric Information Rate of Channels with Synchronization Errors
Ryo SHIBATA Gou HOSOYA Hiroyuki YASHIMA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2020/11/01
Online ISSN: 1745-1337
Type of Manuscript: PAPER
Category: Coding Theory
synchronization error, generalized Blahut-Arimoto algorithm, Markov capacity, low-density parity-check (LDPC) codes, trellis codes,
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We propose a coding/decoding strategy that surpasses the symmetric information rate of a binary insertion/deletion (ID) channel and approaches the Markov capacity of the channel. The proposed codes comprise inner trellis codes and outer irregular low-density parity-check (LDPC) codes. The trellis codes are designed to mimic the transition probabilities of a Markov input process that achieves a high information rate, whereas the LDPC codes are designed to maximize an iterative decoding threshold in the superchannel (concatenation of the ID channels and trellis codes).