1. Novel Methods for Generating Fox's $H$-Function Distributed Random Variables With Applications.
- Author
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Aborahama, Yousuf, Ismail, Mahmoud H., and Hassan, Mohamed S.
- Subjects
- *
MONTE Carlo method , *PROBABILITY density function , *WIRELESS communications , *ERROR rates , *RANDOM variables - Abstract
We present two novel methods for the generation of Fox's $H$ -function distributed random variables (RVs), which have been recently used to model fading in various wireless communication scenarios. The first proposed method is based on the use of standard normal RVs, whereas the second is based on the use of Gamma RVs. Using Monte Carlo simulations, the proposed methods are tested and are shown to provide indistinguishable results from the corresponding analytical $H$ -function probability density functions (PDFs) for a diverse set of parameters. Moreover, as an application, simulated ergodic capacity and average bit error rate results obtained using the proposed methods are compared to analytical expressions previously obtained in the literature and perfect agreement is observed. Our results also provide valuable insights into what constraints on the $H$ -function parameters are sufficient to guarantee valid $H$ -function PDFs. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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