Citation
Wc. Sun et Xw. Zhou, Average sampling theorems for shift invariant subspaces, SCI CHINA E, 43(5), 2000, pp. 524-530
Citations number
12
Categorie Soggetti
Engineering Management /General
Journal title
SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES
ISSN journal
20950624
→ ACNP
Volume
43
Issue
5
Year of publication
2000
Pages
524 - 530
Database
ISI
SICI code
2095-0624(200010)43:5<524:ASTFSI>2.0.ZU;2-H
Abstract
The sampling theorem is one of the most powerful results in signal analysis
. In this paper, we study the average sampling on shift invariant subspaces
, e.g. wavelet subspaces. We show that if a subspace satisfies certain cond
itions, then every function in the subspace is uniquely determined and can
be reconstructed by its local averages near certain sampling points. Exampl
es are given.