Estimation of parameters of two-dimensional random amplitude chirp signal in additive noise

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Research Article

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Multidimensional Systems and Signal Processing


In this paper, we consider a two-dimensional random amplitude chirp signal model. It is assumed that the additive error is independent and identically distributed. This is an extension of the one dimensional random amplitude chirp model proposed by Besson et al. (IEEE Trans Signal Process 47(12):3208–3219, 1999) to two-dimension. The random amplitudes can be thought of as a multiplicative error and are assumed to be independent and identically distributed with non-zero mean such that the fourth order moment exists. The parameters are estimated by maximizing a two-dimensional chirp periodogram like function and discuss their theoretical properties. The proposed estimators are consistent and we obtain the asymptotic distribution as multivariate normal. Under normality of the additive error, the proposed estimator attains the Cramer–Rao lower bound. We propose a general multicomponent two-dimensional model of similar form. The performances of the proposed estimators for finite samples are evaluated based on numerical experiments and are reported graphically.

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