OPTIMUM MIXED DELAY SPIKING FILTERS

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Abstract
Recent increased knowledge of mixed delay seismic source input wavelets requires extension of industry understanding of high‐resolution digital spiking filters. A close analysis of widely existing minimum delay deconvolution processes can be used to gain insights and estimates in mixed delay cases. This paper presents a time‐domain method wherein a double application of standard (zero delay spiking) deconvolution processes yields understanding of the mixed delay nature of a wavelet given for spiking. It is shown that such deconvolution of both a given mixed delay wavelet and the reversal of this given wavelet can be combined to estimate the complete variable delay suite of spiking filter performances for the given mixed delay wavelet. The intuitive basis of the method lies in the observation that the reversal of a wavelet is equivalent to inversion of the zeros of the wavelet Z‐transform in the complex plane. Thus, (zero delay spiking) deconvolution of the wavelet emphasizes the minimum‐phase portion of the wavelet while such deconvolution of the reversed wavelet emphasizes the maximum‐phase portion of the original wavelet.

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