Title :
On the input-output weight enumerators of product accumulate codes
Author :
Lu, Hsiao-feng ; Kumar, P. Vijay ; Yang, En-Hui
Author_Institution :
Dept. of Commun. Eng., Nat. Chung-Cheng Univ., Chia-Yi, Taiwan
Abstract :
In this letter, a generalized MacWilliams transform that relates the input-redundancy weight enumerator of a systematic binary linear block code to that of its dual code is first presented. Based on this transform, the input-output weight enumerators of direct-product single-parity-check codes and the type-II product-accumulate codes are then derived, and used to analyze the asymptotic bit error performance of these codes.
Keywords :
AWGN channels; binary codes; block codes; dual codes; error correction codes; error statistics; iterative decoding; linear codes; parity check codes; product codes; turbo codes; bit error performance; direct-product single-parity-check code; dual code; generalized MacWilliams transform; input-redundancy weight enumerator; systematic binary linear block code; type-II product-accumulate code; AWGN; Additive white noise; Bit error rate; Block codes; Error correction codes; Hamming weight; Iterative decoding; Parity check codes; Performance analysis; Turbo codes; Input-output weight enumerator; product-accumulate codes;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2004.832779
