On the Computation of the Higher Order Statistics of the Channel Capacity over Generalized Fading Channels

Details On the Computation of the Higher Order Statistics of the Channel Capacity over Generalized Fading Channels On the Computation of the Higher Order Statistics of the Channel Capacity over Generalized Fading Channels

2012-04-17

arxiv.org/abs/1204.3719v2

Computer Science

Information Theory

Submitted to IEEE Wireless Communications Letter, February 18, 2012

Scientific paper

The higher-order statistics (HOS) of the channel capacity $\mu_n=\mathbb{E}[\log^n(1+\gamma_{end})]$, where $n\in\mathbb{N}$ 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 focussing on the correlated generalized fading environments.

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