Identification of instantaneous frequency band of time-varying structure based on multi-synchrosqueezing transform with ceiling method

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (21) : 201-208.

LI Yuzu2, LIUJingliang1,2, LIAO Feiyu1,2, LUO Yongpeng1,2, WANG Fang3

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Abstract

In order to address the problem of non-reassigned points in multi-synchrosqueezing transform and its improved algorithm, a new ceiling based multi-synchrosqueezing transform is proposed to identify the instantaneous frequency bands of time-varying structures. In this method, the Brug algorithm is introduced at first to estimate the parameter of an autoregressive model. Then, the target signal is extended by a use of autoregressive model. After that, the ceiling algorithm is applied on the fractional part of the estimated instantaneous frequency twice, leading to overcoming the drawbacks of non-reassigned points and end effects. Two numerical cases and an experiment on a steel cable with linear tension force are investigated to verify the effectiveness of the proposed method. The results demonstrate that the ceiling based multi-synchrosqueezing transform behaves better than multi-synchrosqueezing transform and its improved algorithm. It not only gets rid of the problem of non-reassigned points, but also enhances the accuracy of frequency band identification.
Keywords: time-varying; multi-synchrosqueezing transform; non-reassigned point; ceiling; instantaneous frequency band

Key words

time-varying / multi-synchrosqueezing transform / non-reassigned point / ceiling / instantaneous frequency band

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LI Yuzu2, LIUJingliang1,2, LIAO Feiyu1,2, LUO Yongpeng1,2, WANG Fang3. Identification of instantaneous frequency band of time-varying structure based on multi-synchrosqueezing transform with ceiling method[J]. Journal of Vibration and Shock, 2022, 41(21): 201-208

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