THE ERROR IN LEAST‐SQUARES INVERSE FILTERING

Author:

Claerbout J. F.1,Robinson E. A.1

Affiliation:

1. University Institute of Statistics, Uppsala, Sweden

Abstract

Least‐squares inverse filtering always involves consideration of the error. Under certain conditions the error will go to zero as the length of the filter tends to infinity. It is shown that the error will go to zero if either: (1) the waveform being inverted is minimum‐phase, or (2) if the output is chosen to come after a sufficiently long time delay. If the waveform being inverted is not minimum‐phase and if in addition the output is not chosen to be delayed, then the error will be finite and may be large.

Publisher

Society of Exploration Geophysicists

Subject

Geochemistry and Petrology,Geophysics

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