Deconvolution of nonstationary seismic data using adaptive lattice filters

Adaptive Seismic Deconvolution via the Canonical Variate Analysis

“…?at recent interest and a number of efforts have been rt!ported which apply the modern estimation theory techniques to improve the performance over the classically used, simple predictive deconvolution techniques. Amongst some of the notable recent approaches to this problem for seismic applications are the "white-noise" B~rnoulli sequence estimationfdetection approach of Mendel and his co-workers [l-4] (see also [S]) and the adaptive predictive deconvolution approaches of Griffiths [6], Prasad and Mahalanabis [7] and their co-workers [8][9][10]. The state-variable formulation of the deconvolution problem (also called the input white-noise estimation problem) and its several solutions suggested in [I-S] are very elegant and should be very useful whenever sufficient information is available about the nature of the seismic wavelet to warrant such modelling.…”

“…The state-variable formulation of the deconvolution problem (also called the input white-noise estimation problem) and its several solutions suggested in [I-S] are very elegant and should be very useful whenever sufficient information is available about the nature of the seismic wavelet to warrant such modelling. The adaptive, tim~-varying op!rators either in the tapped-delay line or the !attic~ filter forms suggested in [6][7][8][9][10], on the other hand, are likely to prove effective on nonstationary seismic data as from offshore experiments.…”