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本文的主要之点是通过褶积运算发现,沃希滤波不存在傅氏变换时那种循环褶积可能引起的误差。也就是说,沃希滤波的结果不受延拓周期的影响。这一重要特性除了说明在精度上不必担心因N选择不当而产生的畸变外,还给运算带来相当的便利。它使我们能够以尽可能短的数据进行处理,从而更进一步节省运算时间。此外,本文对个别地震信号作了沃希谱分析,对沃希滤波应用于地震勘探的可能性作了初步探讨。
The main point of this paper is that it is found through the convolution operation that the error caused by the cyclic convolution in the Fourier transform does not exist in the Walsh filter. In other words, the result of Walsh filtering is not affected by the continuation period. This important feature in addition to indicating the accuracy need not worry about the distortion caused by the improper selection of N, but also to bring considerable computing convenience. It allows us to process data with the shortest possible data, further saving computing time. In addition, this paper makes a Vox spectrum analysis of individual seismic signals, and makes a preliminary discussion on the possibility of applying Voix filter to seismic exploration.