Title
Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames
Abstract
Perturbation theorems for regular sampling in shift-invariant spaces are derived using a generalized perturbation theorem for frames in a Hilbert space, which generalizes the irregular sampling theorem established by Chen Using this generalized irregular sampling theorem, estimates for the maximum perturbation are obtained. Some typical examples illustrate the result
Year
DOI
Venue
2006
10.1109/TIT.2006.881704
IEEE Transactions on Information Theory
Keywords
Field
DocType
shift-invariant space,hilbert space,typical example,maximum perturbation,generalized perturbation theorem,irregular sampling theorem,shift-invariant spaces,regular sampling,generalized irregular,perturbation theorem,frame,hilbert spaces,wavelets,perturbation,sampling
Hilbert space,Discrete mathematics,Mathematical analysis,Singular perturbation,Sampling (statistics),Invariant (mathematics),Nyquist–Shannon sampling theorem,Mathematics,Perturbation (astronomy),Wavelet,Nonuniform sampling
Journal
Volume
Issue
ISSN
52
10
0018-9448
Citations 
PageRank 
References 
14
1.00
9
Authors
3
Name
Order
Citations
PageRank
Ping Zhao1488.60
Chun Zhao2183.06
P. G. Casazza3141.00