A simple approach to probability of error for equal gain combiners over Rayleigh channels

Author

Zhang, Q.T.

Author_Institution

Dept. of Electr. Eng., Ryerson Polytech. Inst., Toronto, Ont., Canada

Volume

48

Issue

4

fYear

1999

fDate

7/1/1999 12:00:00 AM

Firstpage

1151

Lastpage

1154

Abstract

A new technique for determining the probability of error of a general equal gain (EG) combiner over Rayleigh channels is presented in this paper. Unlike the existing methods, the new procedure takes a single step and directly derives the error performance from the characteristic function of the decision variable, thereby avoiding the lengthy process of deriving the distribution of the sum of Rayleigh variates and thus eliminating all approximations required therein. The new solution is exact and much simpler compared to the existing results. It takes the form of a one-fold integral, which can be easily evaluated by using the Hermite numerical method

Keywords

Rayleigh channels; cellular radio; diversity reception; error statistics; Hermite numerical method; Rayleigh channels; characteristic function; decision variable; equal gain combiner; equal gain combiners; error performance; one-fold integral; Closed-form solution; Diversity reception; Error probability; Fading; Fourier series; Gaussian noise; Performance gain; Probability density function; Rayleigh channels; Switches;

fLanguage

English

Journal_Title

Vehicular Technology, IEEE Transactions on

Publisher

ieee

ISSN

0018-9545

Type

jour

DOI

10.1109/25.775364

Filename

775364