Asymptotic performance of single parity-check product codes

Author

Rankin, David M. ; Gulliver, T. Aaron ; Taylor, Desmond P.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Canterbury, Christchurch, New Zealand

Volume

49

Issue

9

fYear

2003

Firstpage

2230

Lastpage

2235

Abstract

This article investigates the asymptotic performance of single parity-check (SPC) product codes (PCs) from a decoding point of view. Specifically, the probability of bit error is bounded before and after the decoding of each dimension, similar to the analysis of "iterated codes" by Elias (1954). It is shown that the asymptotic probability of bit error can be driven to zero as the number of dimensions, and hence the block length, increases at signal-to-noise ratios (SNRs) within 2 dB of capacity over the additive white Gaussian noise (AWGN) channel.

Keywords

AWGN channels; channel capacity; decoding; error statistics; parity check codes; product codes; SNR; asymptotic bit error probability; asymptotic performance; binary-input AWGN channel; block length; decoding; iterated codes; signal-to-noise ratio; single parity-check product codes; AWGN channels; Additive white noise; Capacity planning; Iterative decoding; Numerical simulation; Parity check codes; Performance analysis; Personal communication networks; Product codes; Signal to noise ratio;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2003.815802

Filename

1226609