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前言自1965年以来,出现了许多地球物理数据二维滤波和二维谐波分析的文章(1965年,巴塔查亚、1967年,达比和戴维斯、1967年,奥迪加得和伯哥、1967年,泽弗利的文章)。二维滤波的设计和应用是这些文章的要点。对于取样数据二维滤波的基本原理仅作了粗略的论述。本文打算简明地提出取样数据二维滤波的基本原理,包括有限或离散的二维傅里叶变换、二维假频、二维Z变换和二维褶积的定义。在这篇文章里,我们将限于一维和二维的笛卡尔坐标系统。通常遇到的量纲是长度、时间,周期/单位长度(空间频率即波数——弧度/单位长度——除以2π)和
Preface Many articles on 2D and 2D harmonic analysis of geophysical data have emerged since 1965 (Battaglia, 1965, Darby and Davis, 1967, Audiard and Boehringer-Verlag, 1967) Brother, 1967, Seever’s article). The design and application of two-dimensional filtering are the main points of these articles. The basic principle of two-dimensional filtering of sampled data is only briefly discussed. This article intends to concisely propose the basic principles of two-dimensional filtering of sampled data, including the finite or discrete two-dimensional Fourier transform, two-dimensional aliasing, two-dimensional Z-transform and two-dimensional convolution. In this article, we will be limited to one-dimensional and two-dimensional Cartesian coordinate systems. Commonly encountered dimensions are length, time, period / unit length (spatial frequency wavenumber - radian / unit length - divided by 2π) and