On the convergence of linear power control for cellular radio systems

R. Jäntti*, S. L. Kim

*Corresponding author for this work

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

1 Citation (Scopus)


So far most of the linear power control algorithms, such as the algorithm suggested by Foschini and Miljanic [6], have been of first-order. That is, the algorithms have utilized only measurements of current power and carrier-to-interference plus noise power ratio (CIR) for computing the power update. Recently, two second-order algorithms [4, 5] utilizing both current and previous powers and CIR values have been suggested. The gain of using higher order dynamics is faster convergence. Another reason for using higher order algorithms is to take the CIR estimation dynamics into account. For example, it has been suggested in [2] that the received interference power should first be filtered with the first-order infinite impulse response (IIR) filter before the CIR estimate is calculated. In this paper, we suggest a general linear distributed power control (GLDPC) algorithm, which contains many of the earlier algorithms as a special case and the ability to incorporate CIR estimator dynamics. The convergence of GLDPC is shown to depend on the Schur stability of a certain polynomial, which in turn can be investigated by the Nyquist criterion [8].

Original languageEnglish
Title of host publicationIEEE VTS 53rd Vehicular Technology Conference, 2001. VTC 2001 Spring
Number of pages5
ISBN (Print)0-7803-6728-6
Publication statusPublished - 2001
MoE publication typeA4 Article in a conference publication
EventIEEE Vehicular Technology Conference - Rhodes, Greece
Duration: 6 May 20019 May 2001
Conference number: 53

Publication series

NameIEEE VTS Vehicular Technology Conference Proceedings
ISSN (Print)1090-3038


ConferenceIEEE Vehicular Technology Conference
Abbreviated titleVTC

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