An analytical method for performance analysis of binary linear block codes

Author

Abedi, Ali ; Khandani, Amir K.

Author_Institution

Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

fYear

2002

fDate

2002

Firstpage

403

Abstract

An analytical method for performance evaluation of binary linear block codes using an additive white Gaussian noise (AWGN) channel model with binary phase shift keying (BPSK) modulation is presented. We focus on the probability distribution function (pdf) of the bit log-likelihood ratio (LLR) which is expressed in terms of the Gram-Charlier series expansion. This expansion requires knowledge of the statistical moments of the bit LLR. We introduce an analytical method for calculating these moments. It is shown that the estimate of the bit error probability provided by the proposed method will asymptotically converge to the true bit error performance.

Keywords

AWGN channels; binary codes; block codes; error statistics; linear codes; phase shift keying; AWGN channel; BPSK modulation; Gram-Charlier series expansion; additive white Gaussian noise channel; analytical method; binary linear block codes; binary phase shift keying; bit error probability; bit log-likelihood ratio; performance evaluation; probability distribution function; statistical moments; AWGN; Binary phase shift keying; Block codes; Decoding; Gaussian noise; Modulation coding; Performance analysis; Phase modulation; Probability distribution; Taylor series;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on

Print_ISBN

0-7803-7501-7

Type

conf

DOI

10.1109/ISIT.2002.1023675

Filename

1023675