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System identification of ambient vibration structures using output-only identification techniques has become a key issue in the structural health monitoring and the assessment of engineering structures. Modal parameters of the ambient vibration structures consist of natural frequencies, mode shapes and modal damping ratios. So far, a number of math...
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... of the time-frequency resolution is inevitable for the close frequency identification and the high-mode parameter identification using the wavelet transform. Time-frequency resolution plane of the wavelet transform is shown in Figure 2, in which high frequency resolution and low time resolution are used for low frequency band, and inversely. The Heisenberg's uncertainty principle revealed us that it is impossible to simultaneously obtain optimal time resolution and optimal frequency resolution. ...
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![Figure 3a: Haar wavelet: (a) scaling function, (b) mother wavelet [17].](profile/Muhammad-Zainuddin-Lubis/publication/303922065/figure/fig2/AS:372376782032897@1465792951292/a-Haar-wavelet-a-scaling-function-b-mother-wavelet-17_Q320.jpg)
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