ESTIMATION OF PARAMETERS OF THE EXPONENTIALLY DAMPED SINUSOIDAL SIGNALS IN THE FREQUENCY DOMAIN

Dušan Agrež

Abstract

In this paper, the exponentially damped sinusoidal signals are analyzed. Simple algorithms for fast measurement and estimation of the unknown damping, frequency, amplitude and phase are presented. The peaks of the discrete Fourier transform (DFT) results are adopted to obtain the parameters. The idea of the quotient interpolation using the Hanning window for the basic three parameters can be adopted also for the damping. The Hanning window very efficiently reduce the systematic error in the case of damping estimation, but price for this is in increasing of the estimatation standard deviation in comparison with the rectangular window.

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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