基于频谱搬移的迭代式谐波实信号频率估计算法

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摘要为抑制谐波实信号中频谱泄漏的影响，提出一种基于频谱搬移的迭代式谐波实信号频率估计算法。在估计某一谐波分量的频率时，所有负频率与其他分量的正频率均为产生频谱泄漏的干扰分量。根据干扰分量的频率逐次进行频谱搬移并抑制干扰分量，得到仅含有单一分量的信号，利用抛物线插值算法估计其频率；得到所有谐波分量的频率后，重新进行干扰分量抑制获得单一分量信号，以得到更加精确的频率估计值。仿真实验表明，所提算法抑制了干扰分量，提高了谐波实信号的频率估计精度，频率估计的均方误差更接近于克拉美罗下限（CRLB）。

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	牟泽龙1
	涂亚庆1
	陈鹏2
	刘言1

关键词 ：频率估计, 频谱泄漏, 谐波实信号, 频谱搬移

Abstract：In order to suppress the influence of spectrum leakage of harmonic real signals, an iterative frequency estimation algorithm for harmonic real signals based on spectrum shifting was proposed.When estimating the frequency of a certain harmonic component, all other components with negative frequencies and positive ones were interference components to produce spectrum leakage.According to each interference component’s frequency, the spectrum shifting was done to suppress the interference component until a signal with a single component was obtained, its frequency was estimated with the parabolic interpolation algorithm.After frequencies of all harmonic components were obtained, suppressing interference components was performed again to update a single component signal for the purpose of estimating a more accurate frequency value.Simulation test results showed that the proposed algorithm can suppress interference components, and improve the frequency estimation accuracy of harmonic real signals; the mean square error of frequency estimation is closer to Cramer-Rao low bound (CRLB).

Key words： frequency estimation spectrum leakage harmonic real signal spectrum shifting

收稿日期: 2020-08-11 出版日期: 2021-06-15

引用本文:

牟泽龙1，涂亚庆1，陈鹏2，刘言1. 基于频谱搬移的迭代式谐波实信号频率估计算法[J]. 振动与冲击, 2021, 40(11): 128-133.
MOU Zelong1, TU Yaqing1, CHEN Peng2, LIU Yan1. Iterative frequency estimation algorithm for harmonic real signals based on spectrum shifting. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(11): 128-133.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I11/128

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