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Exponential signals with time-varying amplitude: Parameter estimation via polar decomposition
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Automatic control.
1998 (English)In: Signal Processing, Vol. 66, no 1, 27-43 p.Article in journal (Refereed) Published
Abstract [en]

This paper addresses the estimation of the center frequency of complex exponential signals with time-varying amplitude. A method which requires few assumptions regarding the signal’s envelope is proposed. It is based on the polar decomposition of a certain covariance matrix. The polar decomposition, a generalization to matrices of the complex number representation z=reiθ with r>0, is particularly suitable for the application considered. The notion of truncated polar decomposition is introduced. Simple schemes for estimating the signal’s frequency are presented, based on these decompositions. In contrast to most existing methods, the methods presented herein do not rely on any assumed structure for the time-varying amplitude, and they are shown to possess good performances in a large class of signals. The effectiveness and robustness of our approach are demonstrated on real radar data.

Place, publisher, year, edition, pages
1998. Vol. 66, no 1, 27-43 p.
Identifiers
URN: urn:nbn:se:uu:diva-25020OAI: oai:DiVA.org:uu-25020DiVA: diva2:52794
Available from: 2007-02-08 Created: 2007-02-08 Last updated: 2011-01-14

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Stoica, P

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