# Translations:Model used for deconvolution/15/en

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The standard assumption is that each wavelet has the same minimum-phase shape and that the arrival times and strengths of each wavelet are given by a reflectivity series of uncorrelated random variables. The spiking-deconvolution operator can be computed from the autocorrelation of the trace. The spiking operator, so computed, is necessarily minimum phase (Robinson and Wold, 1963^{[1]}). This operator can be used to deconvolve the trace — that is, the spiking operator removes the wavelet from the trace, thereby yielding the reflectivity series. In addition, the spiking operator can be inverted to yield estimates of the basic wavelet shape.

- ↑ Robinson, E. A., and H. Wold, 1963, Minimum-delay structure of least-squares and
*eo ipso*predicting systems,*in*M. Rosenblatt, ed., Time series analysis: John Wiley, 192-196.