NDLI: A more accurate one-dimensional analysis and design of irregular LDPC codes

Content Provider	IEEE Xplore Digital Library
Author	Ardakani, M. Kschischang, F.R.
Copyright Year	1972
Abstract	We introduce a new one-dimensional (1-D) analysis of low-density parity-check (LDPC) codes on additive white Gaussian noise channels which is significantly more accurate than similar 1-D methods. Our method assumes a Gaussian distribution in message-passing decoding only for messages from variable nodes to check nodes. Compared to existing work, which makes a Gaussian assumption both for messages from check nodes and from variable nodes, our method offers a significantly more accurate estimate of convergence behavior and threshold of convergence. Similar to previous work, the problem of designing irregular LDPC codes reduces to a linear programming problem. However, our method allows irregular code design in a wider range of rates without any limit on the maximum variable-node degree. We use our method to design irregular LDPC codes with rates greater than 1/4 that perform within a few hundredths of a decibel from the Shannon limit. The designed codes perform almost as well as codes designed by density evolution.
Starting Page	2106
Ending Page	2114
Page Count	9
File Size	510260
File Format	PDF
ISSN	00906778
Volume Number	52
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-12-01
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 Convergence Iterative decoding Iterative methods Additive white noise Gaussian distribution Linear programming Design methodology Algorithm design and analysis irregular low-density parity-check (LDPC) codes Degree distribution density evolution extrinsic information transfer (EXIT) charts Gaussian assumption
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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