Optimal power control for multi-user relay networks over fading channels

Di Wang, Xin Wang, Xiaodong Cai

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


In energy-constrained wireless networks such as sensor networks, it is important to maximize power efficiency by minimizing power consumption for a given quality of service such as the data rate; it is equally important to evenly or fairly distribute power consumption to all nodes to maximize the network life. In this paper, we develop optimal power control methods to balance the tradeoff between energy efficiency and fairness for wireless cooperative networks where several relays assist the communication of multiple source-destination pairs. Our optimal power control policy is derived in a quasi-closed form by solving a convex optimization problem with a properly chosen cost-function. We further develop novel stochastic optimization algorithms to dynamically learn the statistics of the wireless channels on-the-fly to approach the optimal power control policy. Moreover, our power control algorithm can be implemented distributedly at relays requiring each relay to know its local channel state information. Simulation results demonstrate the merits of our power control methods.

Original languageEnglish (US)
Article number5610976
Pages (from-to)199-207
Number of pages9
JournalIEEE Transactions on Wireless Communications
Issue number1
StatePublished - Jan 2011


  • convex optimization
  • Energy-efficient design
  • stochastic approximation
  • wireless relay networks

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Applied Mathematics


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