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On the Computation of the Higher Order Statistics of the Channel Capacity over Generalized Fading Channels
The higher-order statistics (HOS) of the channel capacity
, where 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 (i.e., the sum of the correlated noncentral chi-squared
distributions / the correlated generalized Rician distributions). The
mathematical formalism is illustrated by some numerical examples focussing on
the correlated generalized fading environments.Comment: Submitted to IEEE Wireless Communications Letter, February 18, 201
On the Calculation of the Incomplete MGF with Applications to Wireless Communications
(c) 20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. DOI: 10.1109/TCOMM.2016.2626440The incomplete moment generating function (IMGF) has paramount relevance in communication theory, since it appears in a plethora of scenarios when analyzing the performance of communication systems. We here present a general method for calculating the IMGF of any arbitrary fading distribution. Then, we provide exact closed-form expressions for the IMGF of the very general κ-μ shadowed fading model, which includes the popular κ-μ, η-μ, Rician shadowed, and other classical models as particular cases. We illustrate the practical applicability of this result by analyzing several scenarios of interest in wireless communications: 1) physical layer security in the presence of an eavesdropper; 2) outage probability analysis with interference and background noise; 3) channel capacity with side information at the transmitter and the receiver; and 4) average bit-error rate with adaptive modulation, when the fading on the desired link can be modeled by any of the aforementioned distributions.Universidad de Málaga. Campus de Execelencia Internacional. Andalucía Tech
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