An efficient approach to the exponentially correlated Rayleigh distribution

Author

Zogas, D.A. ; Karagiannidis, G.K. ; Kotsopoulos, S.A. ; Mathiopoulos, P.T.

Author_Institution

Electr. & Comput. Eng. Dept., Patras Univ., Greece

Volume

3

fYear

2002

fDate

15-18 Sept. 2002

Firstpage

1195

Abstract

A useful formulation for the multivariate Rayleigh probability density function (PDF) with an exponential form for its correlation matrix is presented. Furthermore, the corresponding multivariate Rayleigh cumulative distribution function (CDF) is derived in a nested infinite series representation, which converges rapidly and can be efficiently used in many wireless applications with diversity reception. Finally, bounds on the error resulting from truncation of the infinite series are also derived.

Keywords

Rayleigh channels; convergence of numerical methods; correlation methods; diversity reception; exponential distribution; matrix algebra; radiocommunication; series (mathematics); CDF; PDF; correlation matrix; cumulative distribution function; diversity reception; error bounds; exponential correlation; exponentially correlated Rayleigh distribution; infinite series truncation; nested infinite series representation; probability density function; series convergence; wireless applications; Application software; Distributed computing; Diversity reception; Fading; Mobile antennas; Observatories; Performance analysis; Probability density function; Rayleigh channels; Remote sensing;

fLanguage

English

Publisher

ieee

Conference_Titel

Personal, Indoor and Mobile Radio Communications, 2002. The 13th IEEE International Symposium on

Print_ISBN

0-7803-7589-0

Type

conf

DOI

10.1109/PIMRC.2002.1045217

Filename

1045217