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

被引：6

作者：

Wen, He ^{[1
]}

Meng, Zhuo ^{[1
]}

Teng, Zhaosheng ^{[1
]}

Guo, Siyu ^{[1
]}

Yang, Yuxiang ^{[2
]}

机构：

[1] Hunan Univ, Coll Elect & Informat Engn, Changsha 410082, Hunan, Peoples R China

[2] Xian Univ Technol, Sch Mech & Precis Instrument Engn, Xian, Peoples R China

来源：

FLUCTUATION AND NOISE LETTERS | 2014年 / 13卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Discrete Fourier transform; frequency estimation; interpolation FFT; noise; spectral analysis; signal processing; FOURIER-TRANSFORM; HARMONIC-ANALYSIS; ACCURACY; WINDOWS; LIDFT;

D O I：

10.1142/S0219477514500199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：11

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