On the Bivariate Nakagami-m Cumulative Distribution Function: Closed-Form Expression and Applications

In this paper, we derive exact closed-form expressions for the bivariate Nakagami-m cumulative distribution function (CDF) with positive integer fading severity index m in terms of a class of hypergeometric functions. Particularly, we show that the bivariate Nakagami-m CDF can be expressed as a fini...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on communications 2013-04, Vol.61 (4), p.1404-1414
Main Authors: Lopez-Martinez, F. J., Morales-Jimenez, D., Martos-Naya, E., Paris, J. F.
Format: Article
Language:English
Subjects:
Access methods and protocols, osi model
Applied sciences
Average fade duration
bivariate Nakagami-m
Closed-form solutions
Correlation
cumulative distribution function
diversity reception
Exact sciences and technology
Indexes
Joints
level crossing rate
Nakagami-m fading
Radiocommunications
Random variables
Rayleigh channels
Telecommunications
Telecommunications and information theory
Teleprocessing networks. Isdn
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we derive exact closed-form expressions for the bivariate Nakagami-m cumulative distribution function (CDF) with positive integer fading severity index m in terms of a class of hypergeometric functions. Particularly, we show that the bivariate Nakagami-m CDF can be expressed as a finite sum of elementary functions and bivariate confluent hypergeometric Φ 3 functions. Direct applications which arise from the proposed closed-form expression are the outage probability (OP) analysis of a dual-branch selection combiner in correlated Nakagami-m fading, or the calculation of the level crossing rate (LCR) and average fade duration (AFD) of a sampled Nakagami-m fading envelope.
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2013.020412.120413