Title

Rate of Innovation for (Non-)Periodic Signals and Optimal Lower Stability Bound for Filtering

Authors

Authors

Q. Y. Sun;J. Xian

Comments

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Abbreviated Journal Title

J. Fourier Anal. Appl.

Keywords

Stability; Finite rate of innovation; Space of homogeneous type; Integral operator; Filtering; SHIFT-INVARIANT SPACES; FINITE RATE; RECONSTRUCTING SIGNALS; SPLINE; SUBSPACES; L-P; FRAMES; OPERATORS; SHANNON; Mathematics, Applied

Abstract

One of fundamental problems in sampling theory is to reconstruct (non-)periodic signals from their filtered signals in a stable way. In this paper, we obtain a universal upper bound to the rate of innovation for signals in a closed linear space, which can be stably reconstructed, via the optimal lower stability bound for filtering on that linear space.

Journal Title

Journal of Fourier Analysis and Applications

Volume

20

Issue/Number

1

Publication Date

1-1-2014

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s00041-013-9308-z

Language

English

First Page

119

Last Page

134

WOS Identifier

WOS:000333205500006

ISSN

1069-5869

Recommended Citation

"Rate of Innovation for (Non-)Periodic Signals and Optimal Lower Stability Bound for Filtering" (2014). Faculty Bibliography 2010s. 6152.
https://stars.library.ucf.edu/facultybib2010/6152