Estimation of amplitude and phase parameters of multicomponent signals

Author

Friedlander, Benjamin ; Francos, Joseph M.

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Davis, CA, USA

Volume

43

Issue

4

fYear

1995

fDate

4/1/1995 12:00:00 AM

Firstpage

917

Lastpage

926

Abstract

This paper considers the problem of estimating signals consisting of one or more components of the form a(t)e^jφ(t), where the amplitude and phase functions are represented by a linear parametric model. The Cramer-Rao bound (CRB) on the accuracy of estimating the phase and amplitude parameters is derived. By analyzing the CRB for the single-component case, if 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

Keywords

amplitude estimation; maximum likelihood estimation; phase estimation; signal processing; CRB; Cramer-Rao bound; Monte-Carlo simulations; SNR; amplitude estimation; amplitude functions; estimation accuracy; frequency separation; linear parametric model; maximum likelihood algorithm; maximum likelihood estimation; multicomponent signals; parameter estimation; performance; phase estimation; phase functions; signal components; signal-to-noise ratio; statistical efficiency; Amplitude estimation; Bandwidth; Frequency estimation; Maximum likelihood estimation; Military computing; Parametric statistics; Phase estimation; Signal analysis; Signal to noise ratio; Time frequency analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.376844

Filename

376844