Abstract: This paper proposes a method to realize noisy blind source separation based on UWT（Undecimated Wavelet Transform） denoising and FastICA（Independent Component Analysis）. The method employs a model of ICA after denoising to implement noisy image separation under the environment of additive Gaussian noise. The simulation results show that the proposed method can separate noisy mixed images efficiently. Compared with the method based on curvelet denosing before ICA, the proposed method can obtain better performance of Peak Signal-to-Noise Ratio（PSNR）.

Key words: blind source separation, Undecimated Wavelet Transform（UWT）, Fast Independent Component Analysis（FastICA）, curvelet transform, Peak Signal-to-Noise Ratio（PSNR）

摘要： 提出了基于UWT（非抽样小波变换）去噪与FastICA（快速独立分量分析）算法相结合的含噪盲源分离方法，采用先去噪后分离的方式实现了在加性高斯噪声环境下混合图像的盲分离。仿真结果表明，该方法能很好地从加性高斯噪声中分离出源图像，与曲波阈值去噪后的FastICA方法相比较，该方法能获得更好的峰值信噪比。

关键词: 盲源分离, 非抽样小波变换（UWT）, 快速独立分量分析, 曲波变换, 峰值信噪比