A nonconvergent example for the iterative water-filling algorithm

Simai He; Min Li; Shuzhong Zhang; Zhi-Quan Luo

doi:10.3934/naco.2011.1.147

Article Contents

2011, Volume 1, Issue 1: 147-150. Doi: 10.3934/naco.2011.1.147

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A nonconvergent example for the iterative water-filling algorithm

1.
Department of Management Sciences, City University of Hong Kong, Kowloon, Hong Kong.
2.
Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, Hong Kong
3.
Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455

Received: August 2010

Revised: November 2010

Published: February 2011

Abstract / Introduction Related Papers Cited by

Abstract

Iterative Water-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.

Keywords:

Iterative water-filling algorithm,
multi-user communication system.

Mathematics Subject Classification: Primary: 91A10; Secondary: 65K05.

Citation:

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References

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