DocumentCode :
3605423
Title :
Product of 
– 
Variates
Author :
Leonardo, Elvio J. ; Yacoub, Michel D.
Author_Institution :
Dept. of Inf., State Univ. of Maringa, Maringa, Brazil
Volume :
4
Issue :
6
fYear :
2015
Firstpage :
637
Lastpage :
640
Abstract :
Exact closed-form expressions for the probability density function and the cumulative distribution function for the product of an arbitrary number of independent non-identically distributed α-μ variates are derived. The expressions are given in terms of the Meijer G-function, and in terms of afinite sum of hypergeometric functions, and can be easily computed by means of well-known mathematical software tools. As a consequence of the generality of the α-μ distribution as well as of the results, these statistics comprise those for the product of arbitrary combinations of other useful distributions such as One-Sided Gaussian, Negative Exponential, Rayleigh, Weibull, Gamma, and Nakagami-m. As an application example, the outage probability for the cascade channel is presented.
Keywords :
MIMO communication; fading channels; statistical distributions; telecommunication network reliability; α-μ distribution; MIMO system; Meijer G-function; cascade fading channel outage probability; closed-form expression; cumulative distribution function; hypergeometric function; independent nonidentically distributed α-μ variate product; probability density function; Diversity reception; Fading; Probability density function; Wireless communication; $alpha$??? $mu$ distribution; -μ distribution; Cascade fading channel; Multipath fading; cascade fading channel; multipath fading;
fLanguage :
English
Journal_Title :
Wireless Communications Letters, IEEE
Publisher :
ieee
ISSN :
2162-2337
Type :
jour
DOI :
10.1109/LWC.2015.2476791
Filename :
7243294
Link To Document :
