On the Fast and Precise Evaluation of the Outage Probability of Diversity Receivers over α - μ, κ - μ, and η - μ Fading Channels

Chaouki Ben Issaid*, Mohamed Slim Alouini, Raul Tempone

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

In this paper, we are interested in determining the cumulative distribution function of the sum of α - μ, κ - μ, and η - μ random variables in the setting of rare event simulations. To this end, we present a simple and efficient importance sampling approach. The main result of this work is the bounded relative error property of the proposed estimators. Capitalizing on this result, we accurately estimate the outage probability of multibranch maximum ratio combining and equal gain diversity receivers over α - μ, κ - μ, and η - μ fading channels. Selected numerical simulations are discussed to show the robustness of our estimators compared with naive Monte Carlo estimators.

Original languageEnglish (US)
Article number8125718
Pages (from-to)1255-1268
Number of pages14
JournalIEEE Transactions on Wireless Communications
Volume17
Issue number2
DOIs
StatePublished - Feb 2018

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

Keywords

  • Monte Carlo
  • bounded relative error
  • diversity techniques
  • importance sampling
  • outage probability
  • α - μ
  • η - μ
  • κ - μ

ASJC Scopus subject areas

  • Applied Mathematics
  • Electrical and Electronic Engineering
  • Computer Science Applications

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