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 › peer-review

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

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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.",

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note = "Funding Information: This work is partially supported by BK-21 project and KOSEF(R01-2006-000-10424-0). Authors thank the anonymous referees for many valuable suggestions, which improve the paper. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

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AU - Hong, Y. M.

AU - Kim, J. M.

AU - Kwon, K. H.

AU - Lee, E. H.

N1 - Funding Information: This work is partially supported by BK-21 project and KOSEF(R01-2006-000-10424-0). Authors thank the anonymous referees for many valuable suggestions, which improve the paper. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2007/9/1

Y1 - 2007/9/1

N2 - 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.

AB - 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.

KW - Channeling

KW - Frames

KW - Riesz basis

KW - Sampling

KW - Shift invariant spaces

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Channeled sampling in shift invariant spaces

Abstract

Keywords

ASJC Scopus subject areas

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