Frames: a Maximum Entropy Statistical Estimate of the Inverse Problem
نویسندگان
چکیده
A Maximum Entropy statistical treatment of an inverse problem concerning frame theory is presented. The problem arises from the fact that a frame is an overcomplete set of vectors that de nes a mapping with no unique inverse. Although any vector in the concomitant space can be expressed as linear combination of frame elements, the coe cients of the expansion are not unique. Frame theory guarantees the existence of a set of coe cients which is \optimal" in a Minimum Norm sense. We show here that these coe cients are also \optimal" from a Maximum Entropy viewpoint.
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