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arXiv · 2108.10610

On the Sum of Extended $\eta$-$\mu$ Variates with MRC Applications

Osamah S. Badarneh·Fares S. Almehmadi
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Abstract

In this paper, the sum of L independent but not necessarily identically distributed (i.n.i.d.) extended $\eta$-$\mu$ variates is considered. In particular, novel expressions for the probability density function and cumulative distribution function are derived in closed-forms. The derived expressions are represented in two different forms, i.e., in terms of confluent multivariate hypergeometric function and general Fox's H-function. Subsequently, closed-form expressions for the outage probability and average symbol error rate are derived. Our analytical results are validated by some numerical and Monte-Carlo simulation results.

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Osamah S. Badarneh, Fares S. Almehmadi. 2021-08-24. On the Sum of Extended $\eta$-$\mu$ Variates with MRC Applications. https://doi.org/10.1109/lcomm.2021.3105923

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