Title :
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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.815802
