基于双Haar小波的软门限去噪

Double Haar Wavelet Based Soft Thresholding

小波变换是用于信号多尺度表示的非常有用的工具。在一些实际问题的应用中,如何选取最佳的小波,是一个非常重要的问题。本文首先提出了一种双Haar小波,它可以看作是Haar小波在三通道小波变换的推广。然后,给出了该小波在信号去噪中的应用。实例表明与Haar小波相比较,双Haar小波在信号去噪中可以给出更好的结果。

Wavelet transform is a very useful tool of signal processing. In many applications, how to select the best wavelet basis is very important. In this paper, a double Haar wavelet is developed, which can be consider as an extension of the Haar wavelet. Then the application of the double Haar wavelet in signal denoising is introduced. Examples show that the double Haar wavelet can give better results than the Haar wavelet.