Channeled sampling in shift invariant spaces

被引：10

作者：

Hong, Y. M. ^{[1
]}

Kim, J. M. ^{[1
]}

Kwon, K. H. ^{[1
]}

Lee, E. H. ^{[1
]}

机构：

[1] Korea Adv Inst Sci & Technol, Div Appl Math, Taejon 305701, South Korea

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2007年 / 5卷 / 05期

关键词：

sampling; shift invariant spaces; frames; Riesz basis; channeling;

D O I：

10.1142/S0219691307002038

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We develop sampling expansion formulas on the shift invariant closed subspace V (phi) of L-2(R) generated by a frame or a Riesz generator phi(t). We find necessary and sufficient conditions under which a regular shifted sampling expansion to hold on V (phi) and also introduce a single channel sampling on V (phi) together with some illustrating examples.

引用

页码：753 / 767

页数：15

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