Novel asymptotic results on the high-order statistics of the channel capacity over generalized fading channels

Ferkan Yilmaz; Mohamed Slim Alouini

doi:10.1109/SPAWC.2012.6292934

Novel asymptotic results on the high-order statistics of the channel capacity over generalized fading channels

Ferkan Yilmaz^*, Mohamed Slim Alouini

^*Corresponding author for this work

King Abdullah University of Science and Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

88 Citations (Scopus)

Abstract

The exact analysis of the higher-order statistics of the channel capacity (i.e., higher-order ergodic capacity) often leads to complicated expressions involving advanced special functions. In this paper, we provide a generic framework for the computation of the higher-order statistics of the channel capacity over generalized fading channels. As such, this novel framework for the higher-order statistics results in simple, closed-form expressions which are shown to be asymptotically tight bounds in the high signal-to-noise ratio (SNR) regime of a variety of fading environment. In addition, it reveals the existence of differences (i.e., constant capacity gaps in log-domain) among different fading environments. By asymptotically tight bound we mean that the high SNR limit of the difference between the actual higher-order statistics of the channel capacity and its asymptotic bound (i.e., lower bound) tends to zero. The mathematical formalism is illustrated with some selected numerical examples that validate the correctness of our newly derived results.

Original language	English
Title of host publication	2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2012
Pages	389-393
Number of pages	5
DOIs	https://doi.org/10.1109/SPAWC.2012.6292934
Publication status	Published - 2012
Externally published	Yes
Event	2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2012 - Cesme, Turkey Duration: 17 Jun 2012 → 20 Jun 2012

Publication series

Name	IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC

Conference

Conference	2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2012
Country/Territory	Turkey
City	Cesme
Period	17/06/12 → 20/06/12

Keywords

ergodic capacity
generalized fading channels
higher-order amount-of-fading
higher-order ergodic capacity
Higher-order statistics

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10.1109/SPAWC.2012.6292934

Cite this

Yilmaz, F., & Alouini, M. S. (2012). Novel asymptotic results on the high-order statistics of the channel capacity over generalized fading channels. In 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2012 (pp. 389-393). Article 6292934 (IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC). https://doi.org/10.1109/SPAWC.2012.6292934

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title = "Novel asymptotic results on the high-order statistics of the channel capacity over generalized fading channels",

abstract = "The exact analysis of the higher-order statistics of the channel capacity (i.e., higher-order ergodic capacity) often leads to complicated expressions involving advanced special functions. In this paper, we provide a generic framework for the computation of the higher-order statistics of the channel capacity over generalized fading channels. As such, this novel framework for the higher-order statistics results in simple, closed-form expressions which are shown to be asymptotically tight bounds in the high signal-to-noise ratio (SNR) regime of a variety of fading environment. In addition, it reveals the existence of differences (i.e., constant capacity gaps in log-domain) among different fading environments. By asymptotically tight bound we mean that the high SNR limit of the difference between the actual higher-order statistics of the channel capacity and its asymptotic bound (i.e., lower bound) tends to zero. The mathematical formalism is illustrated with some selected numerical examples that validate the correctness of our newly derived results.",

keywords = "ergodic capacity, generalized fading channels, higher-order amount-of-fading, higher-order ergodic capacity, Higher-order statistics",

author = "Ferkan Yilmaz and Alouini, {Mohamed Slim}",

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Yilmaz, F & Alouini, MS 2012, Novel asymptotic results on the high-order statistics of the channel capacity over generalized fading channels. in 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2012., 6292934, IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC, pp. 389-393, 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2012, Cesme, Turkey, 17/06/12. https://doi.org/10.1109/SPAWC.2012.6292934

Novel asymptotic results on the high-order statistics of the channel capacity over generalized fading channels. / Yilmaz, Ferkan; Alouini, Mohamed Slim.
2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2012. 2012. p. 389-393 6292934 (IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - The exact analysis of the higher-order statistics of the channel capacity (i.e., higher-order ergodic capacity) often leads to complicated expressions involving advanced special functions. In this paper, we provide a generic framework for the computation of the higher-order statistics of the channel capacity over generalized fading channels. As such, this novel framework for the higher-order statistics results in simple, closed-form expressions which are shown to be asymptotically tight bounds in the high signal-to-noise ratio (SNR) regime of a variety of fading environment. In addition, it reveals the existence of differences (i.e., constant capacity gaps in log-domain) among different fading environments. By asymptotically tight bound we mean that the high SNR limit of the difference between the actual higher-order statistics of the channel capacity and its asymptotic bound (i.e., lower bound) tends to zero. The mathematical formalism is illustrated with some selected numerical examples that validate the correctness of our newly derived results.

AB - The exact analysis of the higher-order statistics of the channel capacity (i.e., higher-order ergodic capacity) often leads to complicated expressions involving advanced special functions. In this paper, we provide a generic framework for the computation of the higher-order statistics of the channel capacity over generalized fading channels. As such, this novel framework for the higher-order statistics results in simple, closed-form expressions which are shown to be asymptotically tight bounds in the high signal-to-noise ratio (SNR) regime of a variety of fading environment. In addition, it reveals the existence of differences (i.e., constant capacity gaps in log-domain) among different fading environments. By asymptotically tight bound we mean that the high SNR limit of the difference between the actual higher-order statistics of the channel capacity and its asymptotic bound (i.e., lower bound) tends to zero. The mathematical formalism is illustrated with some selected numerical examples that validate the correctness of our newly derived results.

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Yilmaz F, Alouini MS. Novel asymptotic results on the high-order statistics of the channel capacity over generalized fading channels. In 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2012. 2012. p. 389-393. 6292934. (IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC). doi: 10.1109/SPAWC.2012.6292934

Novel asymptotic results on the high-order statistics of the channel capacity over generalized fading channels

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