On the Bivariate Nakagami-$m$ Cumulative Distribution Function: Closed-form Expression and Applications
Information Theory
2024-10-30 v1 math.IT
Abstract
In this paper, we derive exact closed-form expressions for the bivariate Nakagami- cumulative distribution function (CDF) with positive integer fading severity index in terms of a class of hypergeometric functions. Particularly, we show that the bivariate Nakagami- CDF can be expressed as a finite sum of elementary functions and bivariate confluent hypergeometric 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- fading, or the calculation of the level crossing rate (LCR) and average fade duration (AFD) of a sampled Nakagami- fading envelope.
Keywords
Cite
@article{arxiv.1206.3965,
title = {On the Bivariate Nakagami-$m$ Cumulative Distribution Function: Closed-form Expression and Applications},
author = {F. J. Lopez-Martinez and D. Morales-Jimenez and E. Martos-Naya and J. F. Paris},
journal= {arXiv preprint arXiv:1206.3965},
year = {2024}
}
Comments
This work has been submitted to the IEEE for possible publication