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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.2 P.179~184

http://doi.org/10.1631/jzus.2006.A0179


An algorithm for frequency estimation of signals composed of multiple single-tones


Author(s):  Wu Jie-kang, He Ben-teng

Affiliation(s):  Department of Electrical Engineering, Guangxi University, Nanning 530004, China; more

Corresponding email(s):   wujiekang@163.com, Hebt@zju.edu.cn

Key Words:  Multi-component signal, Frequency estimation, Numerical differentiation, Lagrange interpolation


Wu Jie-kang, He Ben-teng. An algorithm for frequency estimation of signals composed of multiple single-tones[J]. Journal of Zhejiang University Science A, 2006, 7(2): 179~184.

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author="Wu Jie-kang, He Ben-teng",
journal="Journal of Zhejiang University Science A",
volume="7",
number="2",
pages="179~184",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A0179"
}

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%T An algorithm for frequency estimation of signals composed of multiple single-tones
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%A He Ben-teng
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%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A0179

TY - JOUR
T1 - An algorithm for frequency estimation of signals composed of multiple single-tones
A1 - Wu Jie-kang
A1 - He Ben-teng
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SP - 179
EP - 184
%@ 1673-565X
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A0179


Abstract: 
The high-accuracy, wide-range frequency estimation algorithm for multi-component signals presented in this paper, is based on a numerical differentiation and central lagrange interpolation. With the sample sequences, which need at most 7 points and are sampled at a sample frequency of 25600 Hz, and computation sequences, using employed a formulation proposed in this paper, the frequencies of each component of the signal are all estimated at an accuracy of 0.001% over 1 Hz to 800 kHz with the amplitudes of each component of the signal varying from 1 V to 200 V and the phase angle of each component of the signal varying from 0° to 360°. The proposed algorithm needs at most a half cycle for the frequencies of each component of the signal under noisy or non-noisy conditions. A testing example is given to illustrate the proposed algorithm in Matlab environment.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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