| An algorithm for frequency estimation of signals composed of multiple single-tones |
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| 引用本文： | 吴杰康,何奔腾. An algorithm for frequency estimation of signals composed of multiple single-tones[J]. 浙江大学学报(A卷英文版), 2006, 7(2): 179-184. DOI: 10.1631/jzus.2006.A0179 |
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| 作者姓名： | 吴杰康 何奔腾 |
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| 作者单位： | Department of Electrical Engineering Guangxi University，Department of Electrical Engineering Zhejiang University Hangzhou 310027 China，Sanxing Science and Technology Co. Ltd. AUX Group Ningbo 315104 China，Department of Electrical Engineering Zhejiang University Hangzhou 310027 China，Nanning 530004 China |
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| 摘 要： | INTRODUCTION Frequency estimation is the basis of other pa- rameter measurements of signals in intelligent in- struments and meters. Frequency estimation of sinu- soidal or nonsinusoidal signals is easier to realize under non-noisy conditions than under noisy condi- tions. Under noisy conditions, the frequency estima- tion becomes more difficult work due to distortion in sample data. Some pioneering algorithms, such as zero crossing technique (Moore et al., 1996; Begovic et al., 1993), l…
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| 关 键 词： | 频率估算 多分量信号 数值微分法 拉格朗日插值 单音信号 信号构成 |
| 收稿时间： | 2004-11-03 |
| 修稿时间： | 2005-01-05 |
An algorithm for frequency estimation of signals composed of multiple single-tones |
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| Jie-kang Wu,Ben-teng He. An algorithm for frequency estimation of signals composed of multiple single-tones[J]. Journal of Zhejiang University Science, 2006, 7(2): 179-184. DOI: 10.1631/jzus.2006.A0179 |
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| Authors: | Jie-kang Wu Ben-teng He |
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| Affiliation: | (1) Department of Electrical Engineering, Guangxi University, Nanning, 530004, China;(2) Department of Electrical Engineering, Zhejiang University, Hangzhou, 310027, China;(3) Sanxing Science and Technology Co., Ltd., AUX Group, Ningbo, 315104, China |
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| 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. |
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| Keywords: | Multi-component signal Frequency estimation Numerical differentiation Lagrange interpolation |
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