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Statistica Sinica 18(2008), 187-201





PARAMETER ESTIMATION OF CHIRP SIGNALS

IN PRESENCE OF STATIONARY NOISE


Debasis Kundu and Swagata Nandi


Indian Institute of Technology, Kanpur and Indian Statistical Institute


Abstract: The problem of parameter estimation of the chirp signals in presence of stationary noise has been addressed. We consider the least squares estimators and observe that they are strongly consistent. The asymptotic distributions of the least squares estimators are obtained. The multiple chirp signal model is also considered and we obtain the asymptotic properties of the least squares estimators of the unknown parameters. We perform some small sample simulations to observe how the proposed estimators work.



Key words and phrases: Asymptotic distributions, chirp signals, least squares estimators, multiple chirp signals.

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