NDLI: Spatial Coupling of Generator Matrices: A General Approach to Design Good Codes at a Target BER

Content Provider	IEEE Xplore Digital Library
Author	Chulong Liang Xiao Ma Qiutao Zhuang Baoming Bai
Copyright Year	1972
Abstract	For any given short code (referred to as the basic code), block Markov superposition transmission (BMST) provides a simple way to obtain predictable extra coding gain by spatially coupling the generator matrix of the basic code. This paper presents a systematic design methodology for BMST systems to approach the channel capacity at any given target bit error rate (BER) of interest. To simplify the design, we choose the basic code as the Cartesian product of a short block code. The encoding memory is then inferred from the genie-aided lower bound according to the performance gap of the short block code to the corresponding Shannon limit at the target BER. In addition to the sliding-window decoding algorithm, we propose to perform one more phase decoding to remove residual (rare) errors. A new technique that assumes a noisy genie is proposed to upper bound the performance. Under some mild assumptions, these genie-aided bounds can be used to predict the performance of the proposed two-phase decoding algorithm in the extremely low BER region. Using the Cartesian product of a repetition code as the basic code, we construct a BMST system with an encoding memory 30 whose performance at the BER of 10^-15 can be predicted within 1 dB away from the Shannon limit over the binary-input additive white Gaussian noise channel.
Starting Page	4211
Ending Page	4219
Page Count	9
File Size	1681501
File Format	PDF
ISSN	00906778
Volume Number	62
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Bit error rate Decoding Iterative decoding Block codes Convolutional codes two-phase decoding. Big convolutional codes block Markov superposition transmission (BMST) capacity-approaching codes genieaided bounds spatial coupling two-phase decoding (TPD) genie-aided bounds
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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