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

Author

Alouini, Mohamed-Slim ; Simon, Marvin K.

Author_Institution

Dept. of Electr. & Comput. Eng., Minnesota Univ., Minneapolis, MN, USA

Volume

50

Issue

6

fYear

2001

fDate

11/1/2001 12:00:00 AM

Firstpage

1449

Lastpage

1463

Abstract

We study the exact average output signal-to-noise ratio (SNR) and symbol error rate (SER) of M-ary phaseshift-keying (PSK) signals with coherent equal gain combining reception. The analysis assumes independent Nakagami-m (1960) 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 an 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

Keywords

delays; diversity reception; error statistics; fading channels; integral equations; multipath channels; noise; phase shift keying; BER; Gauss-Hermite quadrature integration; M-ary phase shift-keying; Nakagami-m fading channels; PSK signals; SER; approximate approach; average output SNR; average output signal-to-noise ratio; closed-form expressions; coherent equal gain combining; diversity paths; exponentially decaying power delay profile; finite-range integral; geometric summations; i.i.d. Nakagami-m fading paths; independent identically distributed paths; integral representation; integrand tabulated functions; performance analysis; symbol error rate; Closed-form solution; Delay; Diversity reception; Error analysis; Fading; Gaussian processes; Performance analysis; Performance gain; Phase shift keying; Signal to noise ratio;

fLanguage

English

Journal_Title

Vehicular Technology, IEEE Transactions on

Publisher

ieee

ISSN

0018-9545

Type

jour

DOI

10.1109/25.966576

Filename

966576