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| An algorithm for frequency estimation of signals composed of multiple single-tones |
| Wu Jie-kang, He Ben-teng |
| Department of Electrical Engineering, Guangxi University, Nanning 530004, China; Department of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; 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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Received: 03 November 2004
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