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An analytical solution to Jacobsen estimator for windowed signals

Murakami, Takahiro and Wang, Wenwu (2020) An analytical solution to Jacobsen estimator for windowed signals In: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2020), May 4 to 8, 2020, Barcelona, Spain.

MurakamiW_ICASSP_2020.pdf - Accepted version Manuscript

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Interpolated discrete Fourier transform (DFT) is a well-known method for frequency estimation of complex sinusoids. For signals without windowing (or with rectangular-windowing), this has been well investigated and a large number of estimators have been developed. However, very few algorithms have been developed for windowed signals so far. In this paper, we extend the well-known Jacobsen estimator to windowed signals. The extension is deduced from the fact that an arbitrary cosine-sum window functions are composed of complex sinusoids. Consequently, the Jacobsen estimator for windowed signals can be formulated as an algebraic equation with no approximation and thus an analytical solution to the estimator can be obtained. Simulation results show that our approach improves the performance in comparison with the conventional interpolated DFT algorithms for windowed signals.

Item Type: Conference or Workshop Item (Conference Paper)
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
Murakami, Takahiro
Date : 24 January 2020
Uncontrolled Keywords : Frequency estimation, interpolated DFT, Jacob- sen estimator, window function, analytical solution
Depositing User : James Marshall
Date Deposited : 20 Feb 2020 13:43
Last Modified : 20 Feb 2020 13:43

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