MULTI-CHANNEL SAMPLING ON SHIFT-INVARIANT SPACES WITH FRAME GENERATORS

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Let phi be a continuous function in L-2(R) such that the sequence {phi(t - n)}(n is an element of Z) is a frame sequence in L-2(R) and assume that the shift-invariant space V (phi) generated by phi has a multi-banded spectrum sigma(V). The main aim in this paper is to derive a multi-channel sampling theory for the shift-invariant space V (phi). By using a type of Fourier duality between the spaces V (phi) and L-2[ 0, 2 pi] we find necessary and sufficient conditions allowing us to obtain stable multi-channel sampling expansions in V (phi).
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2012-01
Language
English
Article Type
Article
Keywords

WAVELET SUBSPACES; RIESZ BASES; EXPANSION; THEOREMS; MULTIRESOLUTION; SHANNON

Citation

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, v.10, no.1

ISSN
0219-6913
DOI
10.1142/S0219691311004456
URI
http://hdl.handle.net/10203/99048
Appears in Collection
MA-Journal Papers(저널논문)
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