Irregular Sampling on Shift Invariant Spaces

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Let V(phi) be a shift invariant subspace of L(2)(R) with a Riesz or frame generator phi(t). We take phi(t) suitably so that the regular sampling expansion : f(t) = Sigma(n is an element of Z) f(n)S(t-n) holds on V(phi). We then find conditions on the generator phi(t) and various bounds of the perturbation under which an irregular sampling expansion: f(t) = Sigma(n is an element of Z) f(n + delta(n))S(n)(t) holds on V(phi). Some illustrating examples are also provided.
Publisher
IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
Issue Date
2010-06
Language
English
Article Type
Article
Keywords

WAVELET SUBSPACES; THEOREM; FRAMES

Citation

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, v.E93A, no.6, pp.1163 - 1170

ISSN
0916-8508
DOI
10.1587/transfun.E93.A.1163
URI
http://hdl.handle.net/10203/23945
Appears in Collection
MA-Journal Papers(저널논문)
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