频率域反褶积中的截断效应

THE TRUNCATION EFFECT OF DECONVOLVTION IN FREQUENCY DOMAIN

反褶积技术广泛应用于地震资料的数字处理中.文献[1]介绍了用快速付里叶变换在频率域进行反褶积的方法,但只讨论了零相位子波情况.本文试图从子波频谱特点着手,对信号截断影响和反褶积不稳定性作一些分析,关于截断效应(或称边界效应、泄漏效应),专著[2]已作理论分析.文献[4]、[5]对地震信号道谱分析中平滑窗的应用作了讨论.这里,我们想从理论模型例子来详细说明截断效应的产生并讨论消除它的方法.

It is well known that the deconvolution technique has been widely adopted in seismic data-processing. The deconvolution by FFT in frequency domain has been introduced in REFERENCE [1] but only the zero-phase wavelet has been dealt with. Here,the author trys to make an analysis about the truncated effect of the signal and the unstability of deconvolution by the utilization of the spectrum of wavelet.As to the theoretical analysis of truncation effect (also named as "boundary effect" or "leak effect"), it can be found in REFERENCE [2]. In REFERENCES [4] and [5], the application of smooth window for analysing seismic signal trace spectrum is discussed. The author's attempt is, to explain in detail how the truncation effect is forming by theoretical model and the way to get rid of it.