Ill-conditioning and pre-whitening in seismic deconvolution
R. J. O'Dowd · Geophysical Journal International · 1990
Treitel & Wang (1976) observed that autocorrelation matrices, as used for time-domain design of digital deconvolution filters, are ill-conditioned in certain cases. They present an example, where the solution of such a system of linear equations results in significantly different filter points, when the solution is performed on different computers. This paper presents a survey of the causes of such problems from a mathematical point of view. Later, the effect of pre-whitening on numerical stability is examined.