Sampling Theory in Signal and Image Processing, volume 3, issue 3, pages 279-297
A sampling technique based on transforms associated with a group representation
JACQUES SAINTE-MARIE
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Publication type: Journal Article
Publication date: 2004-09-01
SJR: —
CiteScore: —
Impact factor: —
ISSN: 15306429
Computational Mathematics
Analysis
Radiology, Nuclear Medicine and imaging
Algebra and Number Theory
Abstract
In this paper, the properties of transforms associated with a group representation are used to derive sampling techniques based on atomic decompositions [6, 8]. The proposed algorithms allow a recovery of a signal from a sequence of its samples and extend an earlier result proposed by Xiao and Zou [21] in the context of the Fourier analysis.
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