An Instrumental Variable Approach to Minimum-Variance Seismic Deconvolution

A new method is proposed in this paper for sequential parameter estimation and deconvolution of seismic signals. An on-line algorithm of the instrumental variables method is appropriately combined for this purpose with a fixed-lag version of minimum-variance seismic deconvolution. A consistency and an accuracy analysis of the proposed algorithm are presented, using a special type of instrumental variables. The performance of the method is examined in the cases of nonminimum phase or slowly time-varying seismic wavelets. The results are illustrated by simulation studies using examples already studied in the literature.