Denoising method based on lifting static wavelet transforms

The method of adaptive denoising based on discrete wavelet transform (DWT) provides a feasible solution for radar signal filtering, but DWT has not the characteristic of translation invariance of the wavelet coefficients. If the signal reconstruction is not with the same wavelet, it will bring greater reconstruction error. Aiming at this phenomenon, an adaptive denoising method based on the lifting static wavelet transform (SWT) is proposed. Firstly, the lifting and dual lifting method of SWT based on the lifting method of DWT are educed. Then the signal is decomposed as multisub-bands by lifting SWT, and adaptive match is made by using the weights coefficients iterative formula which has more momentum factors. Finally, the second adaptive filter of the matched results is taken to acquire the fitted signal. Simulation results show that the method can further improve the filtering performance if there is not a much increase in the calculation amount.