Title :
Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames
Author :
Zhao, Ping ; Zhao, Chun ; Casazza, Peter G.
Author_Institution :
Beijing Jiaotong Univ.
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
Keywords :
Hilbert spaces; signal sampling; Hilbert space; regular sampling perturbation theorem; shift-invariant space; Digital communication; Estimation theory; Hilbert space; Image processing; Image reconstruction; Image sampling; Mathematics; Sampling methods; Signal processing; Signal sampling; Frame; Riesz basis; irregular sampling; perturbation; sampling; wavelets;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.881704
