Title
Accurate Frequency Estimator of Sinusoid Based on Interpolation of FFT and DTFT.
Abstract
An accurate frequency estimator of complex sinusoid in additive white noise is proposed. It is based on interpolation of Fast Fourier Transform (FFT) and Discrete-Time Fourier Transform (DTFT). Zero-padding is firstly performed before the FFT of the sinusoid sampled data, and the coarse estimate is obtained by searching the discrete frequency index of the maximum FFT spectrum line. Then the fine estimate is obtained by employing the maximum FFT spectrum line and two DTFT sample values located on the left and right side of the maximum spectrum line. The correlation coefficients between the Fourier Transform of the noises on two arbitrarily spaced spectrum lines are derived, and the MSE calculation formula is derived in additive white noise background based on the correlation coefficients. Simulations results demonstrate that the proposed algorithm has lower MSE than the competing algorithms, and its signal-to-noise ratio (SNR) threshold is lower compared with Candan algorithm, AM algorithm and Djukanovic algorithms.
Year
DOI
Venue
2020
10.1109/ACCESS.2020.2977978
IEEE ACCESS
Keywords
DocType
Volume
Frequency estimation,Signal to noise ratio,Estimation,Interpolation,Additive white noise,Correlation coefficient,Fourier transforms,Frequency estimation,FFT,DTFT,interpolation
Journal
8
ISSN
Citations 
PageRank 
2169-3536
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Lei Fan111.70
Guoqing Qi200.34
Jun Xing301.35
Jiyu Jin455.58
Jinyu Liu500.68
Zhisen Wang600.34