On the computation of the higher-order statistics of the channel capacity over generalized fading channels

Ferkan Yilmaz*, Mohamed Slim Alouini

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

The higher-order statistics (HOS) of the channel capacity μn=E[logn (1+γ end)], where n ∈ N denotes the order of the statistics, has received relatively little attention in the literature, due in part to the intractability of its analysis. In this letter, we propose a novel and unified analysis, which is based on the moment generating function (MGF) technique, to exactly compute the HOS of the channel capacity. More precisely, our mathematical formalism can be readily applied to maximal-ratio-combining (MRC) receivers operating in generalized fading environments. The mathematical formalism is illustrated by some numerical examples focusing on the correlated generalized fading environments.

Original languageEnglish
Article number6276204
Pages (from-to)573-576
Number of pages4
JournalIEEE Wireless Communications Letters
Volume1
Issue number6
DOIs
Publication statusPublished - 2012
Externally publishedYes

Funding

Manuscript received April 17, 2012. The associate editor coordinating the review of this letter and approving it for publication was T. J. Lim. This work was supported by King Abdullah University of Science and Technology (KAUST). The authors are with KAUST, Al-Khawarizmi Applied Math. Building, Thuwal 23955-6900, Makkah Province, Saudi Arabia (e-mail: {ferkan.yilmaz, slim.alouini}@kaust.edu.sa). Digital Object Identifier 10.1109/WCL.2012.081312.120285

FundersFunder number
King Abdullah University of Science and Technology

    Keywords

    • correlated fading distributions
    • correlated non-central chi-squared distributions
    • ergodic capacity
    • Higher-order statistics of the channel capacity
    • maximal-ratio combining

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