Frequency hopping signal detection method based on fractional order wavelet transform and Hilbert-Huang transform
A technology of frequency hopping signal and wavelet transform, applied in the field of signal processing, to avoid the influence of window function and improve the estimation accuracy
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[0050] refer to figure 1 , a frequency-hopping signal detection method based on fractional wavelet transform and Hilbert-Huang transform, comprising the following steps:
[0051] 1) Input the frequency hopping signal to be processed: the signal model x(t) of the frequency hopping signal to be processed with noise can be expressed as formula (1):
[0052]
[0053] Among them, T is the observation time, T 0 is the take-off time, T h is the frequency hopping period, f k is the kth frequency hopping frequency, n(t) is additive Gaussian white noise,
[0054] 2) Set the range of the order p and the search step size, and perform fractional Fourier transform on the frequency hopping signal: set the range of the order p and the search step size, and for the collected frequency hopping signal x(t), Do fractional Fourier transform to get fractional domain signal X p (u) can be expressed as formula (2):
[0055]
[0056] Among them, K p(u,t) is the kernel function, that is,...
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