NDLI: Low-Rate Repeat-Zigzag-Hadamard Codes

Content Provider	IEEE Xplore Digital Library
Author	Kai Li Guosen Yue Xiaodong Wang Li Ping
Copyright Year	1963
Abstract	In this paper, we propose a new class of low-rate error correction codes called repeat-zigzag-Hadamard (RZH) codes featuring simple encoder and decoder structures, and flexible coding rate. RZH codes are serially concatenated turbo-like codes where the outer code is a repetition code and the inner code is a punctured zigzag-Hadamard (ZH) code. By analyzing the code structure of RZH codes, we prove that both systematic and nonsystematic RZH codes are good codes, in the sense that for an RZH code ensemble, there exists a positive number gamma₀ such that for any binary-input memoryless channel whose Bhattacharyya noise parameter is less than , the average block error probability of maximum-likelihood (ML) decoding approaches zero. Two decoding algorithms-serial and parallel decoders for RZH codes-are proposed. We then employ the extrinsic information transfer (EXIT) chart technique to design irregular RZH codes. Results show that the optimized irregular RZH codes exhibit a performance that is very close to capacity in the low-rate regime.
Sponsorship	IEEE Information Theory Society
Starting Page	531
Ending Page	543
Page Count	13
File Size	545472
File Format	PDF
ISSN	00189448
Volume Number	54
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Maximum likelihood decoding Concatenated codes Error correction codes Parity check codes Memoryless systems Additive white noise Gaussian noise Error probability Additive noise Signal to noise ratio zigzag-Hadamard codes Irregular code design low-rate codes serial concatenation
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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