L1deconvolution and its application to seismic signal processing

This correspondence reviews fast iterative reweighted least squares (IRLS) and residual steepest descent (RSD) algorithms for Lp, , deconvolution. The timing aspects and the implementation of the IRLS algorithm on an array processor are discussed. The effectiveness of L1deconvolution and its insensitivity to noise bursts are illustrated using simple synthetic as well as complex seismic data. Finally, it is shown that the Lpprediction filters in general need not be stable, and that L1solutions predict the possibility of nonminimum phase aspects of a given set of data.