A fitting method of lamb wave spatial sampling signal based on morlet mother wavelet
A space sampling and signal technology, applied in pattern recognition, instruments, and complex mathematical operations in signals, can solve the problem of limited spatial resolution and length of Lamb wave spatial signals, affecting space-wavenumber domain signal processing methods, and damage monitoring errors and other problems, to achieve the effect of reducing the number of layouts, improving spatial resolution, and reducing damage monitoring errors
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[0048] Embodiment comprises the steps:
[0049] Step 1: Initialize settings
[0050] ①Set the center frequency of the Morlet mother wavelet as c=1Hz, the sampling frequency as d=50Hz, the sampling time as t=[-70,70], and the sampling time resolution as Δt=1 / d.
[0051] ②According to the number of peaks of the Lamb wave excitation signal (sinusoidally modulated five-peak narrow-band signal, n=5), use the formula (1) to construct the corresponding Lamb wave excitation simulation signal s 1 , the center frequency of the simulated signal is c 1 =c=1Hz, the sampling frequency is d 1 =d=50Hz, sampling time is t 1 =t=[-70,70], such as Figure 4 shown.
[0052]
[0053] In the formula: c 1 is the center frequency of the Lamb wave excitation simulation signal, t 1 is the sampling time of the Lamb wave excitation simulation signal, n is the peak number of the Lamb wave excitation simulation signal, and π is the circumference ratio.
[0054] Step 2: Calculate the bandwidth par...
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