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Proceedings Paper

Sampling for shift-invariant and wavelet subspaces
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Paper 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, 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.

Paper Details

Date Published: 4 December 2000
PDF: 12 pages
Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); doi: 10.1117/12.408622
Show Author Affiliations
Jeffrey A. Hogan, Macquarie Univ. (Australia)
Joseph D. Lakey, New Mexico State Univ. (United States)

Published in SPIE Proceedings Vol. 4119:
Wavelet Applications in Signal and Image Processing VIII
Akram Aldroubi; Andrew F. Laine; Michael A. Unser, Editor(s)

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