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

    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

    Language

    English

    First Page

    119

    Last Page

    134

    WOS Identifier

    WOS:000333205500006

    ISSN

    1069-5869

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