Exact bit-error probability for optimum combining with a Rayleigh fading Gaussian cochannel interferer

Author

Shah, Amit ; Haimovich, Alexander M. ; Simon, Marvin K. ; Alouini, Mohamed-Slim

Author_Institution

Wireless Networks Group, Lucent Technol. Bell Labs., Whippany, NJ, USA

Volume

48

Issue

6

fYear

2000

fDate

6/1/2000 12:00:00 AM

Firstpage

908

Lastpage

912

Abstract

We derive expressions for the exact bit-error probability (BEP) for the detection of coherent binary phase-shift keying signals of the optimum combiner employing space diversity when both the desired signal and a Gaussian cochannel interferer are subject to flat Rayleigh fading. Two different methods are employed to reach two different, but numerically identical, expressions. With the direct method, the conditional BEP is averaged over the fading of both signal and interference, With the moment generating function based method, expressions are derived from an alternative representation of the Gaussian Q-function

Keywords

Gaussian channels; Rayleigh channels; diversity reception; error statistics; phase shift keying; radiofrequency interference; signal detection; BPSK signal detection; Gaussian Q-function; Gaussian cochannel interferer; coherent binary phase-shift keying signals; conditional BEP; direct method; exact bit-error probability; flat Rayleigh fading; moment generating function based method; optimum combining; space diversity; Antenna arrays; Binary phase shift keying; Closed-form solution; Diversity reception; Fading; Phase detection; Phase shift keying; Radiofrequency interference; Rayleigh channels; Signal to noise ratio;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.848546

Filename

848546