De-noising method based on multiple wavelet transform and novel thresholding function
基于多重小波变换与新阈值函数的去噪方法研究*

:Based on the characteristics of wavelet analysis,proposed a novel de-nosing method which combined multiple wavelet transform with a new thresholding function.The presented novel thresholding function based on the wavelet shrinkage put forward by D.L.Donoho and I.M.Johnstone and had many advantages over traditional thresholding functions. Comparing with the traditional thresholding functions, it is simple in expression, as continuous as the soft-thresholding function, and has a high order derivative which makes some kinds of mathematical disposals convenient .It overcames the shortcoming of the discontinuous character in hard-thresholding function and solves the problem of the permanent bias in soft- thresholding function.Simulation results indicate that the proposed de-noising method gives better SNR gains and MSE performance.