Applications of Tauberian theorem for high-SNR analysis of performance over fading channels

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

This paper derives high-SNR asymptotic error rates for communications over fading channels by relating them to the asymptotic property of the channel distribution at deep fading, under mild assumptions. The analysis is based on Tauberian theorem and its underlying mathematical theory called regular variation, and applies to a wide range of channel distributions. It is proved that the diversity order being d and the cumulative distribution function (CDF) of the channel power gain having variation exponent d at 0 imply each other, provided that the instantaneous error rate is upper bounded by an exponential function of the instantaneous SNR. This establishes a sufficient condition for the outage event to dominate the error rate performance. Also, asymptotic error rate expressions are derived for practical cases of instantaneous error rate at high average SNR, and turn out to be related to the CDF of the channel power gain in a much simpler manner than existing results. In addition, the high-SNR asymptotic error rate is also characterized under diversity combining schemes, showing the advantage of the approach used herein for analyzing communication systems involving multiple random variables. Numerical results are shown to corroborate our theoretical analysis.

Original languageEnglish (US)
Title of host publication2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011
Pages191-195
Number of pages5
DOIs
StatePublished - Sep 16 2011
Event2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011 - San Francisco, CA, United States
Duration: Jun 26 2011Jun 29 2011

Publication series

NameIEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC

Other

Other2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011
CountryUnited States
CitySan Francisco, CA
Period6/26/116/29/11

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Information Systems

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  • Cite this

    Zhang, Y., & Tepedelenlioglu, C. (2011). Applications of Tauberian theorem for high-SNR analysis of performance over fading channels. In 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2011 (pp. 191-195). [5990392] (IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC). https://doi.org/10.1109/SPAWC.2011.5990392