Parameter Estimation for Linear AM/FM Sinusoids using Frequency Domain Demodulation

A. Röbel (France)

Keywords

sinusoidal parameter estimation, estimation bias, FM de modulation, AM/FM sinusoid.

Abstract

This article deals with the estimation of sinusoidal param eters for non stationary sinusoids. It will be shown that for linear amplitude and frequency modulation only the fre quency modulation creates additional estimation bias for the standard sinusoidal parameter estimator. Then a new algorithm for frequency domain demodulation of spectral peaks is proposed that can be used to obtain an approxi mate maximum likelihood estimate of the frequency slope, and an estimate of the amplitude, phase and frequency pa rameter with significantly reduced bias. An experimental evaluation compares the new estimation scheme with some previously existing methods. It shows that significant bias reduction is achieved for a large range of slopes and zero padding factors. A real world example demonstrates the benefits of the new method.

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