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

Access to Document

10.1142/S0219691307002038

Fingerprint Dive into the research topics of 'Channeled sampling in shift invariant spaces'. Together they form a unique fingerprint.

Cite this

@article{e59c4f85c9fb41199c2f7d79cec3b83b,

title = "Channeled sampling in shift invariant spaces",

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.",

keywords = "Channeling, Frames, Riesz basis, Sampling, Shift invariant spaces",

author = "Hong, {Y. M.} and Kim, {J. M.} and Kwon, {K. H.} and Lee, {E. H.}",

year = "2007",

month = sep,

day = "1",

doi = "10.1142/S0219691307002038",

language = "English",

volume = "5",

pages = "753--767",

journal = "International Journal of Wavelets, Multiresolution and Information Processing",

issn = "0219-6913",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "5",

}

TY - JOUR

T1 - Channeled sampling in shift invariant spaces

AU - Hong, Y. M.

AU - Kim, J. M.

AU - Kwon, K. H.

AU - Lee, E. H.

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

UR - http://www.scopus.com/inward/record.url?scp=34548497617&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548497617&partnerID=8YFLogxK

U2 - 10.1142/S0219691307002038

DO - 10.1142/S0219691307002038

M3 - Article

AN - SCOPUS:34548497617

VL - 5

SP - 753

EP - 767

JO - International Journal of Wavelets, Multiresolution and Information Processing

JF - International Journal of Wavelets, Multiresolution and Information Processing

SN - 0219-6913

IS - 5

ER -