A pair of orthogonal frames

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We start with a characterization of a pair of frames to be orthogonal in a shift-invariant space and then give a simple construction of a pair of orthogonal shift-invariant frames. This is applied to obtain a construction of a pair of Gabor orthogonal frames as an example. This is also developed further to obtain constructions of a pair of orthogonal wavelet frames. (C) 2007 Elsevier Inc. All rights reserved.
Publisher
Academic Press Inc Elsevier Science
Issue Date
2007
Language
English
Article Type
Article
Keywords

AFFINE SYSTEMS; WAVELET FRAMES; RIESZ BASES; L(2)(R(D)); L-2(R-D); SPACES

Citation

JOURNAL OF APPROXIMATION THEORY, v.147, no.2, pp.196 - 204

ISSN
0021-9045
DOI
10.1016/j.jat.2007.01.005
URI
http://hdl.handle.net/10203/86208
Appears in Collection
MA-Journal Papers(저널논문)
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