NDLI: Interactive Encoding and Decoding Based on Binary LDPC Codes With Syndrome Accumulation

Content Provider	IEEE Xplore Digital Library
Author	Jin Meng En-Hui Yang
Copyright Year	1963
Abstract	Interactive encoding and decoding based on binary low-density parity-check codes with syndrome accumulation (SA-LDPC-IED) is proposed and investigated. Assume that the source alphabet is GF(2), and the side information alphabet is finite. It is first demonstrated how to convert any classical universal lossless code Cn (with block length n and side information available to both the encoder and decoder) into a universal SA-LDPC-IED scheme. It is then shown that with the word error probability approaching 0 subexponentially with n , the compression rate (including both the forward and backward rates) of the resulting SA-LDPC-IED scheme is upper bounded by a functional of that of Cn, which in turn approaches the compression rate of Cn for each and every individual sequence pair (xn, yn) and the conditional entropy rate H (X \|Y) for any stationary, ergodic source and side information (X, Y) as the average variable node degree l̅ of the underlying LDPC code increases without bound. When applied to the class of binary source and side information (X, Y) correlated through a binary symmetrical channel with crossover probability unknown to both the encoder and decoder, the resulting SA-LDPC-IED scheme can be further simplified, yielding even improved rate performance versus the bit error probability when l̅ is not large. Simulation results (coupled with linear time belief propagation decoding) on binary source-side information pairs confirm the theoretic analysis and further show that the SA-LDPC-IED scheme consistently outperforms the Slepian-Wolf coding scheme based on the same underlying LDPC code. As a by-product, probability bounds involving LDPC established in the course are also interesting on their own and expected to have implications on the performance of LDPC for channel coding as well.
Sponsorship	IEEE Information Theory Society
Starting Page	3068
Ending Page	3103
Page Count	36
File Size	11313208
File Format	PDF
ISSN	00189448
Volume Number	59
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Parity check codes Encoding Error probability Maximum likelihood decoding Complexity theory Entropy syndrome accumulation (SA) Belief propagation (BP) decoding distributed source coding entropy interactive encoding and decoding (IED) low-density parity-check (LDPC) code rateless Slepian–Wolf coding (SWC)
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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