Abstract
<p class="Abstract">This article investigates the contribution of a small-amplitude interharmonic component to the sine-wave parameter estimators returned by the classical interpolated discrete Fourier transform (IpDFT) algorithm. The analytical expressions for the frequency, amplitude, and phase estimation errors are derived herein by considering the IpDFT algorithm based on the maximum sidelobe decay (MSD) windows and by assuming the interharmonic frequency located at least one bin apart the unknown sine-wave frequency. The derived expressions allow us to analyse the impact of an interharmonic on the accuracies of the IpDFT frequency, amplitude, and phase estimators. The accuracies of the derived expressions are verified by means of both computer simulations and experimental results.</p>
Highlights
Frequency-domain algorithms based on the discrete Fourier transform (DFT) return highly accurate sine-wave parameters estimates under coherent sampling conditions [1]
interpolated discrete Fourier transform (IpDFT) estimators are expressed by very simple expressions when maximum sidelobe decay (MSD) windows are employed [4], [22]
The sine-wave parameter estimation errors due to the interharmonic are almost independent of the integer part of the number of observed sine-wave cycles, as they mainly end on the inter-bin frequency location
Summary
Frequency-domain algorithms based on the discrete Fourier transform (DFT) return highly accurate sine-wave parameters estimates under coherent sampling conditions [1]. When noncoherent sampling occurs, the sine-wave parameter estimates provided by DFT-based algorithms are affected by both spectral leakage [4] and picket-fence effects [5]. When the classical IpDFT algorithm based on an MSD window is applied, expressions for the frequency error and the amplitude and phase errors due to short-range interference from both the image component and harmonics have been derived in [23] and [24], respectively. Our aim in this article is to extend that result by deriving the expressions for the amplitude and phase estimation errors that affect the classical IpDFT algorithm based on an MSD window. The derived expressions generalise the results related to the sine-wave affected by one harmonic They allow us to analyse the contribution of an interharmonic on the amplitude and phase estimates returned by the IpDFT algorithm.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
