Performance of binary block codes at low signal-to-noise ratios

Author

Chao, Chi-chao ; Mceliece, Robert J. ; Swanson, Laif ; Rodemich, Eugene R.

Author_Institution

Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan

Volume

38

Issue

6

fYear

1992

fDate

11/1/1992 12:00:00 AM

Firstpage

1677

Lastpage

1687

Abstract

The performance of general binary block codes on an unquantized additive white Gaussian noise (AWGN) channel at low signal-to-noise ratios is considered. Expressions are derived for both the block error and the bit error probabilities near the point where the bit signal-to-noise ratio is zero. These expressions depend on the global geometric structure of the code, although the minimum distance still seems to play a crucial role. Examples of codes such as orthogonal codes, biorthogonal codes, the (24,12) extended Golay code, and the (15,6) expurgated BCH code are discussed. The asymptotic coding gain at low signal-to-noise ratios is also studied

Keywords

BCH codes; block codes; telecommunication channels; white noise; (15,6) expurgated BCH code; (24,12) extended Golay code; AWGN channel; asymptotic coding gain; binary block codes; biorthogonal codes; bit error probability; block error probability; global geometric structure; low signal-to-noise ratios; minimum distance; orthogonal codes; unquantized additive white Gaussian noise; AWGN channels; Additive white noise; Block codes; Chaos; Error probability; Maximum likelihood decoding; Phase shift keying; Propulsion; Signal to noise ratio; Space technology;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.165442

Filename

165442