The Trivariate Weibull Distribution with Arbitrary Correlation

Author

Papadimitriou, Zafiro G. ; Sagias, Nikos C. ; Bithas, Petros S. ; Mathiopoulos, P. Takis ; Merakos, Lazaros

Author_Institution

Dept. of Informatics & Telecommun., Athens Univ.

fYear

2006

fDate

14-15 Sept. 2006

Firstpage

249

Lastpage

253

Abstract

In this paper an analytical framework for analyzing the arbitrarily correlated trivariate Weibull distribution is introduced. For this distribution infinite series representations for the joint probability density function, the cumulative distribution function (CDF) and the moments are derived. Two special correlation cases of the distribution are studied: the exponential and the constant. These series representations are readily applicable to the performance analysis of a 3-branch selection combining (SC) receiver operating in a Weibull correlation fading environment and the outage probability is derived. The proposed mathematical analysis is complemented by various numerical results, showing the effects of fading severity, correlation and the power decay factor

Keywords

Weibull distribution; correlation methods; diversity reception; fading channels; CDF; arbitrary correlation; cumulative distribution function; joint probability density function; trivariate Weibull distribution fading environment; Distribution functions; Diversity reception; Informatics; MIMO; Performance analysis; Power system modeling; Probability density function; Random variables; Weibull distribution; Weibull fading channels;

fLanguage

English

Publisher

ieee

Conference_Titel

Satellite and Space Communications, 2006 International Workshop on

Conference_Location

Madrid

Print_ISBN

1-4244-0118-6

Electronic_ISBN

1-4244-0119-4

Type

conf

DOI

10.1109/IWSSC.2006.256036

Filename

4023281