小波变换域的局部自适应Wiener滤波器设计方法研究

The Design of Wavelet Transform Domain Locally Adaptive Wiener Filter

小波阈值去噪方法被广泛地用在信号去噪中,这个方法在很多信号空间上是近似最优的。但在MSE意义上最优的信号估计是Wiener滤波器,鉴于传统小波变换域Wiener滤波器的缺点,本文设计了小波域局部自适应Wiener滤波器。实验仿真验证本方法具有较好的去噪效果。

Thresholding methods were widely used to signal denoising. This method is nearly optimal in many signal space. But the Wiener filter is optimal for any signal in the sense of MSE. In this paper, two kinds of locally adaptive Wiener filter in wavelet domain were provided. Typical signals were processed by locally adaptive Wiener filter and other denoising methods. Experiment results show that our methods have better performance.