A Novel Three-Point Windowed Interpolation DFT Method for Frequency Measurement of Real Sinusoid Signal

Kai WANG  Yiting GAO  Lin ZHOU  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E102-A   No.12   pp.1940-1945
Publication Date: 2019/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E102.A.1940
Type of Manuscript: PAPER
Category: Digital Signal Processing
Keyword: 
frequency estimation,  windowed interpolated discrete Fourier transform (WIpDFT),  real-valued sinusoid signals,  spectral superposition,  

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Summary: 
The windowed interpolation DFT methods have been utilized to estimate the parameters of a single frequency and multi-frequency signal. Nevertheless, they do not work well for the real-valued sinusoids with closely spaced positive- and negative- frequency. In this paper, we describe a novel three-point windowed interpolation DFT method for frequency measurement of real-valued sinusoid signal. The exact representation of the windowed DFT with maximum sidelobe decay window (MSDW) is constructed. The spectral superposition of positive- and negative-frequency is considered and calculated to improve the estimation performance. The simulation results match with the theoretical values well. In addition, computer simulations demonstrate that the proposed algorithm provides high estimation accuracy and good noise suppression capability.