Iterative sine-wave frequency estimation by generalized Fourier interpolation algorithms

Abstract : In this paper two iterative interpolation algorithms proposed in the scientific literature for estimating the frequency of complex-valued sine-waves are generalized to a generic Maximum Sidelobe Decay (MSD) window in order to achieve highly accurate estimates even when real-valued pure or harmonically distorted sine-waves are analyzed. The analytical expressions for the frequency estimations formulas are derived. Moreover the accuracy achieved when pure, noisy, and noisy and harmonically distorted sine-waves are analyzed is compared with those provided by the classical Interpolated Discrete Fourier Transform (IpDFT) and three-point IpDFT algorithms through computer simulations. The performed comparison allows us to determine in which situations the proposed algorithms can be advantageously used.
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https://hal.archives-ouvertes.fr/hal-01263316
Contributor : Dominique Dallet <>
Submitted on : Wednesday, January 27, 2016 - 4:20:36 PM
Last modification on : Tuesday, February 13, 2018 - 9:43:21 AM

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Daniel Belega, Dario Petri, Dominique Dallet. Iterative sine-wave frequency estimation by generalized Fourier interpolation algorithms. 2014 11th International Symposium on Electronics and Telecommunications (ISETC), Nov 2014, Timisoara, Romania. pp.1-4, ⟨10.1109/ISETC.2014.7010759⟩. ⟨hal-01263316⟩

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