KEYWORDS: Wavelets, Signal processing, Statistical analysis, Error analysis, Error control coding, Space operations, Chemical elements, Signal analysis, Mathematics, Lanthanum
We investigate several issues surrounding the general question of when a function in a finitely generated shift invariant subspace of L2(R) can be determined by certain of its sample values just as a function band limited to (-1/2, ½) can be expressed in terms of its integer samples. The main theme here is how answers to this question depend on general properties of the generators of the shift invariant space, such as orthogonality properties, scaling relations, smoothness and so forth. One of the main issues that we address is the question of how to control aliasing error.
Conference Committee Involvement (1)
Wavelets XI
31 July 2005 | San Diego, California, United States
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