Abstract
Inverse methods have long been used to determine models for geophysical processes. These methods are closely related to the topics of parameter estimation and system identification in the detection and estimation theory literature, yet results from this area are seldom exploited in inversions. System concepts such as controllability and observability are important in specifying an inverse operator; threshold concepts are needed when parameters are nonlinearly related to observables and/or perturbations are employed; yet they are seldom used. More important, there are many bounds upon the performance of parameter estimators that can be applied to inverse problems in geophysics. This presentation will discuss how methods in system theory and detection and estimation can be applied to geophysical inverse problems. [Work supported by ONR.]
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