Asymptotic properties of the least squares estimators of the parameters of the chirp signals |
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| Authors: | Swagata Nandi Debasis Kundu |
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| Institution: | 1.Institut für Angewandte Mathematik,Ruprecht-Karls-Universit?t Heidelberg,Heidelberg,Germany;2.Department of Mathematics,Indian Institute of Technology Kanpur,Kanpur,India |
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| Abstract: | Chirp signals are quite common in different areas of science and engineering. In this paper we consider the asymptotic properties
of the least squares estimators of the parameters of the chirp signals. We obtain the consistency property of the least squares
estimators and also obtain the asymptotic distribution under the assumptions that the errors are independent and identically
distributed. We also consider the generalized chirp signals and obtain the asymptotic properties of the least squares estimators
of the unknown parameters. Finally we perform some simulations experiments to see how the asymptotic results behave for small
sample and the performances are quite satisfactory. |
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| Keywords: | Chirp signal least squares estimators asymptotic distribution consistent estimators |
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