Stochastic ordering of fading channels

Cihan Tepedelenlioglu; Adithya Rajan; Yuan Zhang

doi:10.1109/SPAWC.2011.5990397

Stochastic ordering of fading channels

Cihan Tepedelenlioglu, Adithya Rajan, Yuan Zhang

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

2 Scopus citations

Abstract

This paper introduces stochastic ordering of the instantaneous SNRs of fading channels as a tool to relate and compare the average performance of communication systems over different channels by harnessing the relation between completely monotone (c.m.) functions and the stochastic Laplace transform (LT) order. Toward this goal, instantaneous error rates of M-QAM and M-PSK modulations are shown to be c.m. functions of the instantaneous SNR, while the instantaneous capacity is seen to have a completely monotonic derivative (c.m.d.). Further, examples of commonly used parametric fading distributions which exhibit a monotonicity in the parameter with respect to the LT order are developed.

Original language	English (US)
Title of host publication	2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011
Pages	211-215
Number of pages	5
DOIs	https://doi.org/10.1109/SPAWC.2011.5990397
State	Published - 2011
Event	2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011 - San Francisco, CA, United States Duration: Jun 26 2011 → Jun 29 2011

Publication series

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

Other

Other	2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011
Country/Territory	United States
City	San Francisco, CA
Period	6/26/11 → 6/29/11

ASJC Scopus subject areas

Electrical and Electronic Engineering
Computer Science Applications
Information Systems

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10.1109/SPAWC.2011.5990397

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Stochastic ordering of fading channels. / Tepedelenlioglu, Cihan; Rajan, Adithya; Zhang, Yuan.
2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011. 2011. p. 211-215 5990397 (IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC).

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

Tepedelenlioglu, C, Rajan, A & Zhang, Y 2011, Stochastic ordering of fading channels. in 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011., 5990397, IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC, pp. 211-215, 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011, San Francisco, CA, United States, 6/26/11. https://doi.org/10.1109/SPAWC.2011.5990397

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abstract = "This paper introduces stochastic ordering of the instantaneous SNRs of fading channels as a tool to relate and compare the average performance of communication systems over different channels by harnessing the relation between completely monotone (c.m.) functions and the stochastic Laplace transform (LT) order. Toward this goal, instantaneous error rates of M-QAM and M-PSK modulations are shown to be c.m. functions of the instantaneous SNR, while the instantaneous capacity is seen to have a completely monotonic derivative (c.m.d.). Further, examples of commonly used parametric fading distributions which exhibit a monotonicity in the parameter with respect to the LT order are developed.",

author = "Cihan Tepedelenlioglu and Adithya Rajan and Yuan Zhang",

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year = "2011",

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AB - This paper introduces stochastic ordering of the instantaneous SNRs of fading channels as a tool to relate and compare the average performance of communication systems over different channels by harnessing the relation between completely monotone (c.m.) functions and the stochastic Laplace transform (LT) order. Toward this goal, instantaneous error rates of M-QAM and M-PSK modulations are shown to be c.m. functions of the instantaneous SNR, while the instantaneous capacity is seen to have a completely monotonic derivative (c.m.d.). Further, examples of commonly used parametric fading distributions which exhibit a monotonicity in the parameter with respect to the LT order are developed.

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Stochastic ordering of fading channels

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