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A fast algorithm for estimating the parameters of a quadratic FM signal

O'Shea, Peter J. (2004) A fast algorithm for estimating the parameters of a quadratic FM signal. IEEE Transactions on Signal Processing, 52(2), pp. 385-393.

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Abstract

This paper describes a fast algorithm that can be used for estimating the parameters of a quadratic frequency modulated (FM) signal. The proposed algorithm is fast in that it requires only one-dimensional (1-D) maximizations. The optimal maximum likelihood method, by contrast, requires a three-dimensional (3-D) maximization, which can only be realized with an exhaustive 3-D grid search. Asymptotic statistical results are derived for all the estimated parameters. The amplitude estimate is seen to be optimal, whereas the phase parameters are, in general, suboptimal. Of the four phase parameter estimates, two approach optimality as the signal-to-noise ratio (SNR) tends to infinity. The other two have mean-square errors that are within 50% of the theoretical lower bounds for high SNR. Simulations are provided to support the theoretical results. Extensions to multiple components and higher order FM signals are also discussed.

Impact and interest:

102 citations in Scopus
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74 citations in Web of Science®

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ID Code: 1859
Item Type: Journal Article
Keywords: Cubic phase function, parameter estimation, polynomial phase signals, statistical signal processing
DOI: 10.1109/TSP.2003.821097
ISSN: 1053-587X
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > ELECTRICAL AND ELECTRONIC ENGINEERING (090600) > Signal Processing (090609)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Copyright Owner: Copyright 2004 IEEE
Copyright Statement: Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Deposited On: 14 Jul 2005
Last Modified: 29 Feb 2012 23:06

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