希尔伯特变换滤波

FILTERING BY HILBERT TRANSFORMATION

本文叙述在地震勘探数字处理中用希尔伯特变换完成一维、二维、三维信息的某些特定通放区的数字滤波方法.本文还说明用这儿提出的方法可将通常所用的二维或三维褶积简化为二个或三个串联的希尔伯特变换——一维褶积.这不仅保证了二维或三维滤波,甚至能在中小型计算机上实现,而且容易确定出滤波参数,运用灵活.

This paper mainly deals with a method adopted in seismic digital processing to accomplish the digital filtering of 1, 2 and 3 dimenision information in some special pass band by Hilbert Transformation. It has been proved that the 2 or 3 dimenision convolution could be simplified as 2 or 3serial Hiblert Transformation (e. g. 1 dimension convolution) by the method mentioned above. Thus, this not only ensures the realization of 2 or 3 dimension filtering but it can be accomplished in medium and small computer. In addition, the parameters of filtering can also be easily determined dy the use of this method. Hence, it is selfevident that the filtering by Hilbert trantformation is acceptable as well as adaptable.