本文讨论了文献中提出的利用付氏变换和希氏变换在频率波数域中对垂直地震剖面中的上行波与下行波进行分解的基本原理,并将该方法推广到作倾斜滤波,本文还在文献所提多维快速付氏变换算法的基础上,研制了二维及多维快变程序,使得倾斜滤波更加简便快捷。最后通过对人工合成地震记录和野外实际资料的处理结果,说明了该滤波方法的可靠性及有效性。 In this paper, we discuss the basic principle of decomposing the upgoing and downgoing waves in the vertical seismic section using the Fu’s and Hessian transformations proposed in the literature, and generalize the method to tilt filtering. Based on the multidimensional fast Fourier transform algorithm, two-dimensional and multi-dimensional fast change programs are developed, which makes the tilt filter easier and faster. Finally, the results of the processing of synthetic seismic records and field data show the reliability and effectiveness of the proposed method.