St. Petersburg paradoxes in performance analysis of adaptive wireless systems

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

Abstract

In this paper we present an adaptive transmission scheme that leads to a surprising situation in analysis of a mathematical model of wireless communications. Namely, the average received energy tends to infinity despite the fact that the average transmitted energy and the representative energy gain of the channel are finite. Yet, it is reasonable to postulate that such a scheme should not be used in any practical wireless system. This anomaly is commonly referred to as St. Petersburg paradox. We discuss possible reasons for the St. Petersburg paradox to occur in analysis of wireless systems and how it can be resolved using suitable performance metrics and fading models. For example, the paradox is resolved by optimizing some performance metric which is either bounded or concave function of the received signal-to-noise ratio. The analysis of St. Petersburg paradox brings new intuition to the normalization of fading channels and optimization of wireless systems.
Original languageEnglish
Title of host publication2010 IEEE 71st Vehicular Technology Conference
PublisherInstitute of Electrical and Electronic Engineers IEEE
Pages1-5
ISBN (Electronic)978-1-4244-2519-8
ISBN (Print)978-1-4244-2518-1
DOIs
Publication statusPublished - 2010
MoE publication typeA4 Article in a conference publication
Event71st IEEE Vehicular Technology Conference, VTC 2010-Spring - Tapei, Taiwan, Province of China
Duration: 16 May 201019 May 2010
Conference number: 71

Conference

Conference71st IEEE Vehicular Technology Conference, VTC 2010-Spring
Abbreviated titleVTC 2010-Spring
CountryTaiwan, Province of China
CityTapei
Period16/05/1019/05/10

Fingerprint

Fading channels
Signal to noise ratio
Mathematical models
Communication

Keywords

  • adaptive transmission
  • fading channels
  • utility theory
  • adaptive systems
  • signal resolution
  • electronic mail
  • measurement
  • performance analysis
  • fading
  • mathematical model
  • H infinity control

Cite this

Kotelba, A., & Mämmelä, A. (2010). St. Petersburg paradoxes in performance analysis of adaptive wireless systems. In 2010 IEEE 71st Vehicular Technology Conference (pp. 1-5). Institute of Electrical and Electronic Engineers IEEE. https://doi.org/10.1109/VETECS.2010.5493778
Kotelba, Adrian ; Mämmelä, Aarne. / St. Petersburg paradoxes in performance analysis of adaptive wireless systems. 2010 IEEE 71st Vehicular Technology Conference. Institute of Electrical and Electronic Engineers IEEE, 2010. pp. 1-5
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Kotelba, A & Mämmelä, A 2010, St. Petersburg paradoxes in performance analysis of adaptive wireless systems. in 2010 IEEE 71st Vehicular Technology Conference. Institute of Electrical and Electronic Engineers IEEE, pp. 1-5, 71st IEEE Vehicular Technology Conference, VTC 2010-Spring, Tapei, Taiwan, Province of China, 16/05/10. https://doi.org/10.1109/VETECS.2010.5493778

St. Petersburg paradoxes in performance analysis of adaptive wireless systems. / Kotelba, Adrian; Mämmelä, Aarne.

2010 IEEE 71st Vehicular Technology Conference. Institute of Electrical and Electronic Engineers IEEE, 2010. p. 1-5.

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

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Kotelba A, Mämmelä A. St. Petersburg paradoxes in performance analysis of adaptive wireless systems. In 2010 IEEE 71st Vehicular Technology Conference. Institute of Electrical and Electronic Engineers IEEE. 2010. p. 1-5 https://doi.org/10.1109/VETECS.2010.5493778