Abstract: A method based on fractional Fourier domain removing the chirp noise of digital image is proposed, as the traditional filtering methods are difficult to realize signal-noise separation effectively. This method is a new measure to improve the quality of image. It introduces fractional Fourier domain filtering algorithm of chirp signal into the process of digital images. The simulation results show that, for this particular image interfered by chirp noise of degradation model, compared with the common Fourier domain filter and Linear smoothing filter, adopting the Fractional Fourier Transform filter under the best estimate has a better effect of recovery. This method can remove the chirp noise of digital image effectively.

Key words: fractional Fourier transform, digital image, chirp noise, filter

摘要： 针对含有chirp噪声的图像，应用传统的滤波方法难以实现有效的信噪分离，提出了一种基于分数阶傅里叶变换域的数字图像chirp噪声的抑制方法。该方法是将chirp信号分数阶傅里叶域的滤波算法引入到数字图像的处理中，是一种新的改善图像质量的手段。仿真结果表明，对于含有chirp噪声干扰这一特定退化模型的图像，采取最优估计下的分数阶傅里叶变换相比普通傅里叶变换和线性平滑滤波，图像恢复的效果更佳，它能有效地去除图像中的chirp噪声。

关键词: 分数阶傅里叶变换, 数字图像, chirp噪声, 滤波