Contribution of the Spectral Interference from the Image Component to the Discrete Spectrum of a Sine-Wave

Daniel Belega, Dominique Dallet, Dario Petri

Abstract

In this paper the analytical expression of the contribution of the fundamental image component to the discrete spectrum of a sine-wave weighted by a cosine class window is derived. It is then analysed for some commonly used windows in the case when the considered Discrete Fourier Transform (DFT) samples fall either inside or outside the band defined by the window spectrum main lobe centred at the sine-wave fundamental frequency. From the achieved results some conclusions about the behaviour of the image component contribution to the discrete spectrum of a sine-wave are drawn. The accuracies of the derived expressions are verified through computer simulations.

Keywords

frequency estimator, IpDFT

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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