On the relationship between mutual information and bit error probability for some linear dispersion codes

Author

Jin, Xianglan ; Yang, Jae-Dong ; Song, Kyoung-Young ; No, Jong-Seon ; Shin, Dong-Joon

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ., Seoul

Volume

8

Issue

1

fYear

2009

Firstpage

90

Lastpage

94

Abstract

In this paper, we derive the relationship between the bit error probability (BEP) of maximum a posteriori (MAP) bit detection and the bit minimum mean square error (BMMSE). By using this result, the relationship between the mutual information and the BEP is derived for multiple-input multiple-output (MIMO) communication systems with the bit-linear linear-dispersion (BLLD) codes for the Gaussian channel. From the relationship, the lower and upper bounds on the mutual information can be derived.

Keywords

Gaussian channels; MIMO communication; error statistics; least mean squares methods; linear codes; maximum likelihood estimation; Gaussian channel; MIMO system; bit error probability; bit minimum mean square error; bit-linear linear-dispersion codes; linear dispersion codes; maximum a posteriori bit detection; multiple-input multiple-output communication systems; Binary phase shift keying; Dispersion; Error probability; Gaussian channels; MIMO; Mean square error methods; Mutual information; Quadrature phase shift keying; Signal to noise ratio; Upper bound; Bit error probability (BEP); bit-linear linear-dispersion (BLLD) codes; maximum a posteriori (MAP) bit detection; minimum mean square error (MMSE); multiple-input multiple-output (MIMO); mutual information;

fLanguage

English

Journal_Title

Wireless Communications, IEEE Transactions on

Publisher

ieee

ISSN

1536-1276

Type

jour

DOI

10.1109/T-WC.2009.080200

Filename

4786486