小波变换与F—K算法在滤波中的应用

陆地地震勘探资料通常含有不同类型的噪声。有效地消除这些噪声，提高分辨率是地震数据处理的主要内容之一。作为一种时频分解方法，小波变换是一种有效的时变滤波工具。本文这了小波变换的有关理论，阐述了它的滤波原理，并借助于Ｆ－Ｋ滤波方法，将小波变换成功地应用于地震信号的滤波之中。具体方法是：将一维信号变换到二维Ｆ－Ｔ平面上，通过改变不同的尺度因子，把信号的不同频率分量刻画出发，再通过改变位移参数来描述信号的

Application of wavelet transform and F-K algoritkm in filtering

There are usually different noises in land seismic data. It is one of major tasks in seismic data processing for us to achieve effectively noise elimination and resolu-tion improvement. Wavelet transform, which functions as time-frequency decompo-sition method, is a very useful time-varying filtering tool. The relevant theory and filtering principle of wavelet transform are expounded here. With the aid of F-K filtering, we apply wavelet tra ns form to seismic signal filtering successfully. The technique recommended here involves the steps: 1) mapping 1-D seismic signals on-to 2-D F-T plane, 2) highlighting respectively the signal contents of different fre-quencies with the use of different scale factors, and 3) describing the time charac-teristics of signals by changing displacement parameters. The processing results of single-fold seismic data and stack section show that the cascade use of F-K filtering operator and wavelet transform is a very effective filtering method.