Title

Convolution Sampling And Reconstruction Of Signals In A Reproducing Kernel Subspace

Keywords

Convolution sampling; Error estimate; Iterative algorithm; Reproducing kernel subspace

Abstract

We consider convolution sampling and reconstruction of signals in certain reproducing kernel subspaces of Lp, 1 ≤ p ≤ ∞. We show that signals in those subspaces could be stably reconstructed from their convolution samples taken on a relatively separated set with small gap. Exponential convergence and error estimates are established for the iterative approximationprojection reconstruction algorithm. © 2012 American Mathematical Society.

Publication Date

4-2-2013

Publication Title

Proceedings of the American Mathematical Society

Volume

141

Issue

6

Number of Pages

1995-2007

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9939-2012-11644-2

Socpus ID

84875469129 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84875469129

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