Abstract
We develop sampling expansion formulas on the shift invariant closed subspace V(φ) of L2Rdbl; generated by a frame or a Riesz generator φ(t). We find necessary and sufficient conditions under which a regular shifted sampling expansion to hold on V(φ) and also introduce a single channel sampling on V(φ) together with some illustrating examples.
Original language | English |
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Pages (from-to) | 753-767 |
Number of pages | 15 |
Journal | International Journal of Wavelets, Multiresolution and Information Processing |
Volume | 5 |
Issue number | 5 |
DOIs | |
Publication status | Published - Sep 1 2007 |
Externally published | Yes |
Keywords
- Channeling
- Frames
- Riesz basis
- Sampling
- Shift invariant spaces
ASJC Scopus subject areas
- Signal Processing
- Information Systems
- Applied Mathematics