Wavelet denoising method for adaptively determining wavelet hierarchical series
A wavelet denoising and self-adaptive technology, applied in the field of radar and sonar, can solve the problems of cumbersome process and low efficiency of decomposition layer determination, and achieve the effect of solving the cumbersome operation process and simplifying the wavelet denoising method
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[0077] The present invention will be further described below in conjunction with the accompanying drawings. The following examples are only used to more clearly illustrate the technical scheme of the present invention, but cannot limit the protection scope of the present invention with this. 1. Wavelet noise reduction based on spectrum analysis to determine the number of decomposition layers
[0078] A one-dimensional signal model including noise can be expressed as follows:
[0079] x(t)=s(t)+n 0 (t) (1-1)
[0080] In the formula, s(t) is the real signal, n 0 (t) is a noise signal. Processing flow such as figure 1 Shown:
[0081] Depend on figure 1 It can be seen that the wavelet noise reduction process of one-dimensional signal based on spectrum analysis to determine the number of decomposition layers is roughly divided into six steps:
[0082] (1) Selection of wavelet basis functions. According to the original signal to obtain the wavelet basis function, selecting ...
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