Instantaneous Frequency Demodulation Method of Underwater Acoustic Signal Based on Wavelet Ridge
A technology of underwater acoustic signal and instantaneous frequency, applied in the direction of measuring ultrasonic/sonic wave/infrasonic wave, using wave/particle radiation, measuring devices, etc., can solve the problem of gross error, cannot determine the instantaneous frequency of underwater acoustic signal, and frequency detection accuracy depends on and other issues, to achieve good anti-interference effect
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specific Embodiment approach 1
[0027] Specific embodiment one: a kind of instantaneous frequency demodulation method of underwater acoustic signal based on wavelet ridge described in this embodiment comprises the following steps:
[0028] Step 1, using the Michelson laser interferometry system to detect the water surface;
[0029] Step 2, collecting the laser interference signal, the collection process is: the interference signal is received by the photodetector, and converted into an electrical signal, and the electrical signal is collected by the data acquisition card and then transmitted to the host computer;
[0030] Step 3, performing frequency spectrum analysis on the collected interference signal to determine the frequency distribution range of the underwater acoustic signal;
[0031] Step 4, determining the observation scale of the wavelet transform;
[0032] After step three, the frequency range of the signal spectrum can be known, and the observation scale of the wavelet transform can be determin...
specific Embodiment approach 2
[0066] Embodiment 2: This embodiment differs from Embodiment 1 in that the frequency spectrum analysis described in step 3 refers to the use of a Fast Fourier Transform algorithm, ie, FFT algorithm, for the collected interference signal. Other steps are the same as in the first embodiment.
specific Embodiment approach 3
[0067] Specific embodiment three: the difference between this embodiment and specific embodiment one or two is: the specific process of the wavelet transformation described in step five is:
[0068] Choose Morlet wavelet as the mother wavelet, and its approximate mathematical expression is
[0069]
[0070] In the formula, ω 0 is the central angular frequency of the mother wavelet, σ is the Gaussian function parameter, j is the imaginary number symbol, t is the time, and the corresponding Fourier transform is:
[0071]
[0072] ω is the angular frequency, then the calculation formula for the wavelet transform coefficient of the interference signal is as follows:
[0073]
[0074] In the formula, is a function family with Morlet wavelet as the mother wavelet, a is the scale factor, and b is the translation factor, that is is a function family obtained by shifting and stretching the wavelet mother function, f(t) is the collected interference signal, W f (a, b) are...
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