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Comparisons of Parameter Estimation Methods for an Exponential Polynomial Sound Signal Model

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In this paper, we present comparisons of non-stationary sinusoidal parameter estimation methods for an exponential polynomial signal model. We compare the estimations of the Distribution Derivative Method (DDM), the Generalized Derivative Method (GDM), the Generalized Reassignment Method (GRM), and the Quadratically Interpolated Fast Fourier Transform (QIFFT) method with the Cram´er-Rao bounds. We test these methods on three exponential polynomial signal models: first-order amplitude modulation (AM) with first-order frequency modulation (FM), second-order AM with first-order FM, and third-order AM with second-order FM. Practical implementation issues and sources of discrete bias are discussed.

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