Performance analysis of coherent equal gain combining over Nakagami-m fading channels

Mohamed Slim Alouini; Marvin K. Simon

doi:10.1109/25.966576

Performance analysis of coherent equal gain combining over Nakagami-m fading channels

Mohamed Slim Alouini^*, Marvin K. Simon

^*Corresponding author for this work

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

60 Scopus citations

Abstract

We study the exact average output signal-to-noise ratio (SNR) and symbol error rate (SER) of M-ary phase-shift-keying (PSK) signals with coherent equal gain combining reception. The analysis assumes independent Nakagami-m fading paths, which are not necessarily identically distributed. On one hand, we use geometric summations to obtain closed-form expressions for the average output SNR over diversity paths with an exponentially decaying power delay profile. On the other hand, capitalizing on an alternative integral representation of the conditional SER along with Gauss-Hermite quadrature integration, we derive average SER expression in the form of a single finite-range integral and an integrand composed of tabulated functions. We also present a simpler but approximate approach for the closed-form evaluation of the SER of these signals over independent identically distributed Nakagami-m fading paths.

Original language	English (US)
Pages (from-to)	1449-1463
Number of pages	15
Journal	IEEE Transactions on Vehicular Technology
Volume	50
Issue number	6
DOIs	https://doi.org/10.1109/25.966576
State	Published - Nov 2001
Externally published	Yes

Keywords

Diversity combining
Equal gain combining
Nakagami-fading channels

ASJC Scopus subject areas

Aerospace Engineering
Electrical and Electronic Engineering
Computer Networks and Communications
Automotive Engineering

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10.1109/25.966576

Cite this

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title = "Performance analysis of coherent equal gain combining over Nakagami-m fading channels",

abstract = "We study the exact average output signal-to-noise ratio (SNR) and symbol error rate (SER) of M-ary phase-shift-keying (PSK) signals with coherent equal gain combining reception. The analysis assumes independent Nakagami-m fading paths, which are not necessarily identically distributed. On one hand, we use geometric summations to obtain closed-form expressions for the average output SNR over diversity paths with an exponentially decaying power delay profile. On the other hand, capitalizing on an alternative integral representation of the conditional SER along with Gauss-Hermite quadrature integration, we derive average SER expression in the form of a single finite-range integral and an integrand composed of tabulated functions. We also present a simpler but approximate approach for the closed-form evaluation of the SER of these signals over independent identically distributed Nakagami-m fading paths.",

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AB - We study the exact average output signal-to-noise ratio (SNR) and symbol error rate (SER) of M-ary phase-shift-keying (PSK) signals with coherent equal gain combining reception. The analysis assumes independent Nakagami-m fading paths, which are not necessarily identically distributed. On one hand, we use geometric summations to obtain closed-form expressions for the average output SNR over diversity paths with an exponentially decaying power delay profile. On the other hand, capitalizing on an alternative integral representation of the conditional SER along with Gauss-Hermite quadrature integration, we derive average SER expression in the form of a single finite-range integral and an integrand composed of tabulated functions. We also present a simpler but approximate approach for the closed-form evaluation of the SER of these signals over independent identically distributed Nakagami-m fading paths.

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Performance analysis of coherent equal gain combining over Nakagami-m fading channels

Abstract

Keywords

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