基于一种新阈值函数在信号去噪中的应用

A new threshold function based on its application in signal de-noising

小波理论去噪方法有很多种,小波阈值去噪方法,理论较为成熟,算法更加简单,数值的稳定性高,去噪的效果好。软阈值函数方法和硬阈值函数方法去噪在实际应用中使用很广泛,但总有一些不足的地方,因为软、硬阈值函数自身的结构都有一定的缺陷。本人提出一种新的阈值函数,它有较好的光滑性,随着参数取值的变化,新阈值函数介于在软、硬阈值函数之间,而且表达式简单,计算方便。最后,在MATLAB环境下,对加入高斯白噪声的信号进行了去噪的仿真实验,结果表明:新阈值函数去噪方法好于软、硬阈值去噪方法。

Denoising method using wavelet theory has a lot of kinds,the wavelet threshold denoising method,the theory is relatively mature,the algorithm is more simple,high numerical stability,the denoising effect is good.Method of soft threshold function and hard threshold denoising function method is widely used in practical application,but there are some shortage of place,because the structure of the soft and hard thresholding function itself has certain defects.I put forward a new threshold function,it has good smoothness,as the change of parameter selection,a new threshold function between the soft and hard threshold function,and the expression is simple and convenient calculation.Finally,in the MATLAB environment,and to join the gaussian white noise signal,the denoising simulation experiment results show that the new threshold function good denoising method for soft and hard threshold denoising methods.