Comparative Study of Influence of Noise on Power Frequency Estimation of Sine wave Using Interpolation FFT-Reference-Cited by-同舟云学术

Comparative Study of Influence of Noise on Power Frequency Estimation of Sine wave Using Interpolation FFT

Published:2014-07-20 Issue:03 Volume:13 Page:1450019
ISSN:0219-4775
Container-title:Fluctuation and Noise Letters
language:en
Short-container-title:Fluct. Noise Lett.

Author:

Wen He¹,Meng Zhuo¹,Teng Zhaosheng¹,Guo Siyu¹,Yang Yuxiang²

Affiliation:

1. College of Electrical and Information Engineering, Hunan University, P. R. China

2. School of Mechanical and Precision Instrument Engineering, Xi'an University of Technology, P. R. China

Abstract

This paper compares performances of frequency estimations provided by different interpolation fast Fourier transform (FFT) algorithms under white Gaussian noises. Firstly, accuracies of frequency estimation algorithms are evaluated by deriving analytical expressions of variances of frequency estimation. Then, theoretical results are validated by means of computer simulations. It is shown that the trade-off between biases and variances of frequency estimation is unavoidable. From both theoretical and simulation results, it can be concluded that variances of frequency estimation are proportional to the noise variance and inverse proportional to the length of FFT.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219477514500199

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