Translations:Random-reflection-coefficient model/1/en

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The convolutional model within each window on a reflection seismogram has the form of a stable feedback system, which is necessarily a minimum-delay system; hence, its inverse is a causal feedforward system. This inverse is the operator with which we convolve the reflection seismogram to obtain an estimate of the reflectivity function. That is, this operator converts the observed reflection seismogram into the desired reflectivity and thus is the required deconvolution operator. The deconvolution operator removes the multiple wavelets, leaving behind the reflectivity function. Thus we have the direct (or physical) system (1) trace = reflectivity * wavelet and the inverse (or data-processing) system (2) reflectivity = trace * deconvolution operator.