关键词: 小波, Wiener滤波, 自适应, 最小均方误差

Abstract: Using the characteristics of wavelet domain adaptive Wiener filtering and spatial domain adaptive Wiener filtering，this paper presents a combined filtering method based on an adaptive Wiener filtering in wavelet domain and an adaptive Wiener filter in spatial domain.Firstly a pre-denoised image is obtained with the thresholding denoising in wavelet domain and the residual noise variance of that is re-estimated.Then an adaptive Wiener filtering in spatial domain is applied to the reconstructed image to improve the accuracy.Computer simulation results show that，compared with a separate wavelet and spatial domain Wiener filtering，the mean squared error of the proposed method is the smallest and it obtains better denoising results.

Key words: wavelet, wiener filter, adaptive, mean squared error