Channeled sampling in shift invariant spaces

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)753-767
Number of pages15
JournalInternational Journal of Wavelets, Multiresolution and Information Processing
Volume5
Issue number5
DOIs
Publication statusPublished - Sep 1 2007
Externally publishedYes

Keywords

  • Channeling
  • Frames
  • Riesz basis
  • Sampling
  • Shift invariant spaces

ASJC Scopus subject areas

  • Signal Processing
  • Information Systems
  • Applied Mathematics

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