Asymmetric multi-channel sampling in shift invariant spaces
We develop an asymmetric multi-channel sampling on a shift invariant space V(phi) with a Riesz generator phi(t) in L(2)(R), where each channeled signal is assigned a uniform but distinct sampling rate. We use Fourier duality between V(phi) and L(2)[0, 2 pi] to find conditions under which there is a stable asymmetric multi-channel sampling formula on V(phi). (C) 2009 Elsevier Inc. All rights reserved.
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Issue Date
- 2010-07
- Language
- English
- Article Type
- Article
- Keywords
WAVELET SUBSPACES; RIESZ BASES; EXPANSION; RECONSTRUCTION; THEOREMS; SIGNALS
- Citation
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.367, no.1, pp.20 - 28
- ISSN
- 0022-247X
- Appears in Collection
- MA-Journal Papers(저널논문)
- Files in This Item
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