Harmonic wavelet frequency domain extraction and vibration source identification method for weak vibration signal
A technology of harmonic wavelet and weak vibration, which is used in the measurement of ultrasonic/sonic/infrasonic waves, measuring devices, instruments, etc. Independence, etc. are not satisfied
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[0036] The implementation of the invention will be further described below in conjunction with the accompanying drawings. figure 1 It is a flow chart of the method of the present invention, such as figure 1 As shown, the method includes the following four steps.
[0037] Step 1: Decompose the signal using harmonic wavelet transform.
[0038] Depend on
[0039]
[0040]
[0041] The real function Ψ of the Haar wavelet function determined by the inverse Fourier transform of e and Ψ o (Subscripts e and o indicate that the real number is an even function and an odd function of the variable x respectively) can be combined into a complex function
[0042] Ψ(x)=Ψ e(x)+iΨ o (x) (2)
[0043] Its frequency-domain waveform has excellent tight support and box-shaped characteristics. From this, the complex function can be defined
[0044] Ψ(x)=(e i4πx -e i2πx ) / i2πx (3)
[0045] is a harmonic wavelet. Use (2 j x-k) instead of x in formula (4) (where j and k are both int...
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