JSEJournal of Seismic Exploration0963-0651AccScience PublishingArticlePredictive deconvolution from the point of view of kriginghttps://geophysical-press.com/journal/JSE/articles/406K. BROADHEADMICHAEL20091832009-07-01Broadhead, M.K., 2009. Predictive deconvolution from the point of view of kriging. Journal of Seismic Exploration, 18: 239-247. We review the geostatistical method of simple kriging and consider its application to the predictive deconvolution problem in seismology. We find that when kriging is applied to the 1D time-series prediction problem, it can be used to obtain the usual Wiener-Levinson system of equations that are normally arrived at with the methods of stationary time-series analysis. The kriging weights can then be interpreted in terms of the prediction filter coefficients. This connection between predictive decon and geostatistics does not appear to be known. Perhaps a better understanding and exploitation of this type of connection can lead to productive synergies between signal processing and geostatistics.deconvolution, geostatistics, kriging, prediction filter, Wiener-Levinson, covariance

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