Exact bit-error probability for optimum combining with a rayleigh fading gaussian cochannel interférer

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

doi:10.1109/26.848546

Exact bit-error probability for optimum combining with a rayleigh fading gaussian cochannel interférer

Amit Shah^*, Alexander M. Haimovich, Marvin K. Simon, Mohamed Slim Alouini

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

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 interférer 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.

Original language	English (US)
Pages (from-to)	908-912
Number of pages	5
Journal	IEEE Transactions on Communications
Volume	48
Issue number	6
DOIs	https://doi.org/10.1109/26.848546
State	Published - 2000
Externally published	Yes

Bibliographical note

Funding Information:
Paper approved by N. C. Beaulieu, the Editor for Wireless Communication Theory of the IEEE Communications Society. Manuscript received May 20, 1999; revised October 4, 1999. This work was supported in part by the Air Force Office of Scientific Research under Grant F49620-97-1-0241 and in part by the New Jersey Center for Wireless Telecommunications.

Keywords

Cochannel interference
Fading channels
Optimum combining
Space diversity

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/26.848546

Cite this

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title = "Exact bit-error probability for optimum combining with a rayleigh fading gaussian cochannel interf{\'e}rer",

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 interf{\'e}rer 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 = "Cochannel interference, Fading channels, Optimum combining, Space diversity",

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note = "Funding Information: Paper approved by N. C. Beaulieu, the Editor for Wireless Communication Theory of the IEEE Communications Society. Manuscript received May 20, 1999; revised October 4, 1999. This work was supported in part by the Air Force Office of Scientific Research under Grant F49620-97-1-0241 and in part by the New Jersey Center for Wireless Telecommunications.",

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doi = "10.1109/26.848546",

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pages = "908--912",

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AU - Haimovich, Alexander M.

AU - Simon, Marvin K.

AU - Alouini, Mohamed Slim

N1 - Funding Information: Paper approved by N. C. Beaulieu, the Editor for Wireless Communication Theory of the IEEE Communications Society. Manuscript received May 20, 1999; revised October 4, 1999. This work was supported in part by the Air Force Office of Scientific Research under Grant F49620-97-1-0241 and in part by the New Jersey Center for Wireless Telecommunications.

PY - 2000

Y1 - 2000

N2 - 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 interférer 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.

AB - 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 interférer 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.

KW - Cochannel interference

KW - Fading channels

KW - Optimum combining

KW - Space diversity

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IS - 6

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Exact bit-error probability for optimum combining with a rayleigh fading gaussian cochannel interférer

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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