Nonconvergent example for the iterative water-filling algorithm

Simai He, Min Li, Shuzhong Zhang, Zhi Quan Luo

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


IterativeWater-filling Algorithm (IWFA) is a well-known distributed multi-carrier power control method for multi-user communication. It was empirically observed (and conjectured) to be convergent under all channel conditions. In this paper, we present an example showing that IWFA can oscillate, therefore disproving the conjecture.

Original languageEnglish (US)
Pages (from-to)147-150
Number of pages4
JournalNumerical Algebra, Control and Optimization
Issue number1
StatePublished - Feb 2011


  • Iterative water-filling algorithm
  • Multi-user communication system


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