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In this paper, we present a construction method of non-binary low-densityparity-check (LDPC) convolutional codes. Our construction method is anextension of Felstroem and Zigangirov construction for non-binary LDPCconvolutional codes. The rate-compatibility of the non-binary convolutionalcode is also discussed. The proposed rate-compatible code is designed from onesingle mother (2,4)-regular non-binary LDPC convolutional code of rate 1/2.Higher-rate codes are produced by puncturing the mother code and lower-ratecodes are produced by multiplicatively repeating the mother code. Simulationresults show that non-binary LDPC convolutional codes of rate 1/2 outperformstate-of-the-art binary LDPC convolutional codes with comparable constraint bitlength. Also the derived low-rate and high-rate non-binary LDPC convolutionalcodes exhibit good decoding performance without loss of large gap to theShannon limits.

ieice transactions on fundamentals of electronics, communications and computer sciences/ieice transactions on fundamentals of electronics, communications and computer science

Design and Performance of Rate-compatible Non-Binary LDPC Convolutional Codes