Invariance and Periodic Oversampling in Principal Shift-Invariant Spaces

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We first find simple characterizations of 1/NZ-invariance of arbitrary principal shift-invariant space V(phi). Then we find several equivalent conditions for V(phi) to admit periodic oversampling for a class of continuous frame generators phi. In particular, when phi is band-limited and (phi) over cap is piecewise continuous, we find very simple and general sufficient conditions for V(phi) to admit periodic oversampling, which involve the extra invariance of V(phi), together with an illustrating example.
Publisher
IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
Issue Date
2014-01
Language
English
Article Type
Article
Keywords

WAVELET SUBSPACES; SAMPLING THEOREMS

Citation

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, v.E97A, no.1, pp.313 - 321

ISSN
1745-1337
DOI
10.1587/transfun.E97.A.313
URI
http://hdl.handle.net/10203/188919
Appears in Collection
MA-Journal Papers(저널논문)
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