In this paper the contribution of harmonics on frequency estimation obtained by the classical three-point interpolated Fourier method is investigated in the case when noisy and harmonically distorted complex sinusoids are analyzed. To this aim the expressions for the frequency estimation error due to harmonics and the approximated combined variance of the frequency estimator due to both harmonics and wideband noise are derived. Using the obtained expressions the contributions of each harmonic and wideband noise on the frequency estimation error are then compared. The accuracies of the derived expressions are verified through computer simulations.
Analysis of the harmonics contribution on the three-point interpolated DFT frequency estimator / Belega, Daniel; Petri, Dario; Dallet, Dominique. - ELETTRONICO. - (2015), pp. 963-967. (Intervento presentato al convegno 23rd European Signal Processing Conference, EUSIPCO 2015 tenutosi a Nice nel 31 August-4 September 2015) [10.1109/EUSIPCO.2015.7362526].
Analysis of the harmonics contribution on the three-point interpolated DFT frequency estimator
Petri, Dario;
2015-01-01
Abstract
In this paper the contribution of harmonics on frequency estimation obtained by the classical three-point interpolated Fourier method is investigated in the case when noisy and harmonically distorted complex sinusoids are analyzed. To this aim the expressions for the frequency estimation error due to harmonics and the approximated combined variance of the frequency estimator due to both harmonics and wideband noise are derived. Using the obtained expressions the contributions of each harmonic and wideband noise on the frequency estimation error are then compared. The accuracies of the derived expressions are verified through computer simulations.| File | Dimensione | Formato | |
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