Title

Rate Of Innovation For (Non-)Periodic Signals And Optimal Lower Stability Bound For Filtering

Keywords

Filtering; Finite rate of innovation; Integral operator; Space of homogeneous type; Stability

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. © 2013 Springer Science+Business Media New York.

Publication Date

1-1-2014

Publication Title

Journal of Fourier Analysis and Applications

Volume

20

Issue

1

Number of Pages

119-134

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s00041-013-9308-z

Socpus ID

84897024789 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84897024789

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