Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames

Authors:
Ping Zhao;Chun Zhao;P. G. Casazza
Affiliations:
Beijing Jiaotong Univ.;-;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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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