Time-frequency analysis method based on nonlinear mode decomposition and adaptive optimal kernel
A technology of mode decomposition and time-frequency analysis, applied in the field of time-frequency analysis of non-stationary signals, can solve the problems of noise sensitivity and insufficiency
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[0085] In the following, a multi-component non-stationary simulation signal is taken as an example to describe in detail the implementation and advantages of the present invention.
[0086] Suppose s(t) is a multi-component signal containing Gaussian white noise:
[0087] s(t)=s d (t)+n(t)
[0088] s d (t)=cos(20πt)+sin(200πt)+sin(400πt)+sin(100π(t-0.5) 2 )
[0089] In the formula, n(t) represents Gaussian white noise; s d (t) is an ideal multi-component signal. Set the sampling frequency to 1kHz, the sampling time to 1s, and the data length to 1000. Set the window length 2T=128, and the kernel function volume limit is β=5.
[0090] The process of the present invention is as figure 1 As shown, including the following steps:
[0091] Step A: Prepare the signal s(t) to be processed, the sampling frequency of which is f s , The data length is N;
[0092] Step B: Perform NMD analysis on the signal s(t);
[0093] Step B-1: Calculate the wavelet transform (Wavelet Transform, WT) W of the sign...
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