A general framework for continuous time power control in time varying long term fading wireless networks

Mohammed M. Olama, Seddik M. Djouadi, Charalambos D. Charalambous

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

4 Scopus citations

Abstract

In this paper, a general framework for continuous time power control algorithm under time varying long term fading wireless channels is developed. This contrasts most of the power control algorithms introduced in the literature that assume power control takes place in discrete time intervals and can only be used as long as the time duration for successive adjustments of transmitter powers is less than the coherence time of the channel. In continuous time power control, there is no restriction on how fast the wireless channel is varying. Moreover, a sufficient condition for the existence of the optimal continuous time power is derived. The optimal continuous time power control algorithm is developed under time varying long term fading wireless channels, which are based on stochastic differential equations.

Original languageEnglish
Title of host publicationProceedings of the 9th IASTED International Conference on Control and Applications, CA 2007
Pages69-74
Number of pages6
StatePublished - 2007
Externally publishedYes
Event9th IASTED International Conference on Control and Applications, CA 2007 - Montreal, QC, Canada
Duration: May 30 2007Jun 1 2007

Publication series

NameProceedings of the 9th IASTED International Conference on Control and Applications, CA 2007

Conference

Conference9th IASTED International Conference on Control and Applications, CA 2007
Country/TerritoryCanada
CityMontreal, QC
Period05/30/0706/1/07

Keywords

  • Banach space
  • Long term fading
  • Modelling
  • Power control
  • Stochastic differential equation

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