分数傅里叶变换啁啾滤波

Chirp Filtering in Terms of Fractional Fourier Transform

针对常规傅里叶变换所不能解决的啁啾噪声滤除问题,利用Wigner分布函数分析分数傅里叶变换的空域和频域特性,提出在分数傅里叶变换域进行啁啾滤波的方法。并将该方法应用到图像处理中,对分数傅里叶变换滤除一维和二维图像的啁啾噪声进行了计算机仿真,获得了满意的效果,结果表明该方法在图像处理中的有效性。

Chirp noise is not well filtered by the conventional Fourier transform. The characteristics of fractional Fourier transform in spatial domain and frequency domain are discussed using Wigner distribution. The principle of chirp filtering in fractional Fourier domain is proposed. Then, a method of chirp filtering is presented in image processing. The computer simulation results of chirp filtering for 1D and 2D image are obtained, which have shown the availability of this method in image processing.