Channeled sampling in shift invariant spaces

Y. M. Hong; J. M. Kim; K. H. Kwon; E. H. Lee

doi:10.1142/S0219691307002038

Channeled sampling in shift invariant spaces

Y. M. Hong, J. M. Kim, K. H. Kwon, E. H. Lee

Research output: Contribution to journal › Article

9 Citations (Scopus)

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
Pages (from-to)	753-767
Number of pages	15
Journal	International Journal of Wavelets, Multiresolution and Information Processing
Volume	5
Issue number	5
DOIs	https://doi.org/10.1142/S0219691307002038
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

Access to Document

10.1142/S0219691307002038

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Hong, Y. M., Kim, J. M., Kwon, K. H., & Lee, E. H. (2007). Channeled sampling in shift invariant spaces. International Journal of Wavelets, Multiresolution and Information Processing, 5(5), 753-767. https://doi.org/10.1142/S0219691307002038

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AU - Kim, J. M.

AU - Kwon, K. H.

AU - Lee, E. H.

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KW - Frames

KW - Riesz basis

KW - Sampling

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