Abstract

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, ») 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.© (2000) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

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