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在地震资料数字处理,特别在地震波的频谱分析和各种滤波方法中,傅里叶分析已经是熟知的重要运算工具。而在傅里叶分析的研究中,又主要运用的是正余弦函数。但是近年来,一种非正弦的沃希函数(也称沃尔什函数)在国外日益受到重视,讨论沃希函数应用的国际会议每年举行一次,这方面已经发表的国外资料达数百篇,并在通讯理论和电子技术各个领域的初步应用中,已开始显示出其很大的优越性。由于沃希函数仅取+1与-1两个值,故沃希展开式的计算要比傅里叶展开式的计算简单。特别是快速沃希变换(FWT),由于只有加(减)法而无乘法运算,就比快速傅里叶变换(FFT)更快。因此,运用沃希变换来处理地震数据时,可以加快运算速度,
Fourier analysis has become a well-known and important computational tool in the digital processing of seismic data, especially in seismic wave spectrum analysis and various filtering methods. In the Fourier analysis of the study, but also the main use of the sine function. However, in recent years, a non-sinusoidal Wolchmann function (also known as the Walsh function) has gained more and more attention abroad. The international conference to discuss the application of the Wöchle function is held once a year. In this respect, hundreds of published foreign materials have been published, And in the initial application of communication theory and various fields of electronic technology, it has begun to show its great superiority. Since the Walsh function takes only two values of +1 and -1, Wal-Mart expansion is easier to calculate than Fourier expansion. In particular, Fast Walsh Transform (FWT) is faster than Fast Fourier Transform (FFT) due to the addition (subtraction) method without multiplication. Therefore, the use of Walsh transform to deal with seismic data, you can speed up the operation,