基于维纳滤波器的去噪研究

Denoising Research Based on Wiener Filter

维纳滤波是基于最小均方误差基础上的滤波设计,它使滤波后的输出在最小平方意义下与期望输出达到最佳逼近.本文首先对维纳滤波器进行了介绍,并通过程序仿真进行信号去噪,研究了维纳滤波器的阶数N、信号长度L对于滤波效果的影响.结果显示,N、L越大,精度也越高,滤波效果也更好,并且验证了对于加入高斯白噪声的图像的去噪效果.

Wiener filtering is a filter design based on the minimum mean square error,which makes the filtered output and the desired output to achieve the best approximation in the least squares sense.Firstly the Wiener filter is introduced,and then signal denoising through simulation program.The influence of the order N and the signal length L of the Wiener filter on the filtering effect is studied.The results show that the greater the N,L,the higher the precision and the better filtering performance,and verify the denoising effect for the images adding Gauss white noise.