On the Sum of Fisher-Snedecor F Variates and its Application to Maximal-Ratio Combining

Osamah S. Badarneh, Daniel B. da Costa, Paschalis C. Sofotasios, Sami Muhaidat, Simon L. Cotton

    Research output: Contribution to journalArticleScientificpeer-review

    33 Citations (Scopus)


    Capitalizing on the recently proposed Fisher-Snedecor F composite fading model, in this letter, we investigate the sum of independent but not identically distributed (i.n.i.d.) Fisher-Snedecor F variates. First, a novel closed-form expression is derived for the moment generating function of the instantaneous signal-to-noise ratio. Based on this, the corresponding probability density function and cumulative distribution function of the sum of i.n.i.d. Fisher-Snedecor F variates are derived, which are subsequently employed in the analysis of multiple branch maximal-ratio combining (MRC). Specifically, we investigate the impact of multipath and shadowed fading on the outage probability and outage capacity of MRC based receivers. In addition, we derive exact closed-form expressions for the average bit error rate of coherent binary modulation schemes followed by an asymptotic analysis which provides further insights into the effect of the system parameters on the overall performance. Importantly, it is shown that the effect of multipath fading on the system performance is more pronounced than that of shadowing.

    Original languageEnglish
    Pages (from-to)966-969
    JournalIEEE Wireless Communications Letters
    Issue number6
    Early online date14 May 2018
    Publication statusPublished - Dec 2018
    Publication typeA1 Journal article-refereed


    • Bit error rate
    • Diversity methods
    • Diversity reception
    • Fading channels
    • Fisher-Snedecor F distribution
    • maximal-ratio combining (MRC)
    • Probability
    • Receivers
    • Signal to noise ratio
    • sum of random variables.

    Publication forum classification

    • Publication forum level 1

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Electrical and Electronic Engineering


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