The Fisher-Snedecor $mathcal$ distribution has been recently proposed as a more accurate and mathematically tractable composite fading model than traditional established models in some practical cases. In this paper, we firstly derive exact closed-form expressions for the main statistical characterizations of the ratio of products of $mathcal$ -distributed random variables, including the probability density function, the cumulative distribution function and the moment generating function. Secondly, simple and tight approximations to the distribution of products and ratio of products of $mathcal$ -distributed random variables are presented. These analytical results can be readily employed to evaluate the performance of several emerging system configurations, including full-duplex relaying systems operating in the presence of co-channel interference and wireless communication systems enhanced with physical-layer security. The proposed mathematical analysis is substantiated by numerically evaluated results, accompanied by equivalent ones obtained using Monte Carlo simulations.
On the distribution of the ratio of products of fisher-snedecor F random variables and its applications
IEEE Transactions on Vehicular Technology, Vol.69, N°2, February 2020
Type:
Journal
Date:
2019-12-23
Department:
Systèmes de Communication
Eurecom Ref:
6153
Copyright:
© 2019 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
See also:
PERMALINK : https://www.eurecom.fr/publication/6153