Estimation of Amplitude and Phase Parameters of Multicomponent Signals

Benjamin Friedlander, Joseph M. Francos

Research output: Contribution to journalArticlepeer-review

119 Scopus citations

Abstract

This paper considers the problem of estimating signals consisting of one or more components of the form a(t)eJΦ(1), where the amplitude and phase functions are represented by a linear parametric model. The Cramér-Rao bound (CRB) on the accuracy of estimating the phase and amplitude parameters is derived. By analyzing the CRB for the single-component case, it is shown that the estimation of the amplitude and the phase are decoupled. Numerical evaluation of the CRB provides further insight into the dependence of estimation accuracy on signal-to-noise ratio (SNR) and the frequency separation of the signal components. A maximum likelihood algorithm for estimating the phase and amplitude parameters is also presented. Its performance is illustrated by Monte-Carlo simulations, and its statistical efficiency is verified.

Original languageEnglish
Pages (from-to)917-926
Number of pages10
JournalIEEE Transactions on Signal Processing
Volume43
Issue number4
DOIs
StatePublished - 1 Jan 1995

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