基于一种新阈值函数的小波阈值去噪研究

基于Donoho提出的传统的阈值去噪方法,提出一种新的阈值函数。新阈值函数克服了软阈值函数中小波系数估计和原系数之间的具有固定偏差的缺点。同时,该函数克服了硬阈值函数不连续的缺点。通过调节N（任意正常数）取值可以改变新阈值函数的趋向,这也体现了新阈值函数的灵活性。实验仿真表明了新阈值函数的可行性和优越性。

A De-nosing Algorithm of Wavelet Threshold Based on a New Thresholding Function

A novel thresholding function is presented based on the traditional wavelet threshold method on de-nosing put forward by Donoho.This new thresholding function overcomes the shortcoming that there is an invariable dispersion between the estimated wavelet coefficients and the decomposed wavelet coefficients of the soft-thresholding method.At the same time,this new function overcomes the shortcoming of the hard-thresholding method with discontinuous function.By changing N(const.),we can change the trend of this new function,which can illuminate the elasticity of the new function.The simulation result indicates that the new threshold function is feasible and effective.