基于模态准小波的密频模态参数识别
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浙江省教育厅基金资助项目(Y200908502);国家自然科学基金资助项目(61071198)

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Parameter identification for concentrated modal based on modal quasi-wavelet
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    摘要:

    基于Morlet小波连续变换的模态参数识别算法在故障识别和多模态参数提取中起到了重要作用,然而在密频情况下,Morlet小波连续变换尺度图上模态极值线相互混叠严重,难以有效分离模态。本文提出一种新型的模态准小波函数,运用连续小波变换理论,推导和证明了模态准小波的连续变换可以有效分离密频模态,并给出了固有频率和阻尼系数的识别公式与整体识别算法。文章针对新型的模态准小波进行了大量的仿真实验,证实了该小波在密频模态分离与参数识别方面的优越性,为密频模态参数提取提供新的思路与手段。

    Abstract:

    Modal parameters identification algorithm based on continuous wavelet transformation of the Morlet wavelet is an important algorithm in fault diagnosis and multi-modal parameters identification area. However, on the time-scale image of wavelet continuous transformation of the Morlet wavelet, there will appear aliasing phenomenon between two modals while vibration modals are concentrated, and it is hard to separate these concentrated modals. A new wavelet function called modal quasi-wavelet is proposed in this paper. The continuous transformation of modal quasi-wavelet can split two concentrated modals effectively. And the new algorithm of modal parameters identification is put forward. Numerous experiments of the new algorithm indicate that the modal quasi-wavelet shows better performance than Morlet wavelet. The proposed method provides a new approach for concentrated modal parameters identification.

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叶庆卫,赵挺凯,周 宇,王晓东.基于模态准小波的密频模态参数识别[J].太赫兹科学与电子信息学报,2011,9(2):195~201

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  • 收稿日期:2010-07-06
  • 最后修改日期:2010-10-12
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