Two-dimensional digital filters for geophysical applications: A simple design method leading to an easy implementation

A simple procedure for the design of two-dimensional digital filters will be presented. Its main interest is in the field of geophysical signal processing, since the design implies in these cases simple structures for the implementation. The 2-D problem is reduced to one, two or complicated cases to several 1-D problems. By 3 examples, relevant in geophysics, the power of this method will be demonstrated. The design is applicable for arbitrary ideal frequency responses, however the simple realization will be lost in general. The result is a suboptimal filter, which can be used, if desired, as an initial solution for an L∞-approximation. However, the efficiency of the presented method is established by the fact that the design and implementation go hand in hand and are adapted to the special problem under consideration.

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