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Proceedings Paper

Signal recovery from thresholded frame measurements
Author(s): Holger Boche; Mijail Guillemard; Gitta Kutyniok; Friedrich Philipp
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Paper Abstract

We study the exact recovery of signals from quantized frame coefficients. Here, the basis of the quantization is hard thresholding, and we present a simple algorithm for the recovery of reconstructable signals. The set of non-reconstructable signals is shown to be star-shaped and symmetric with respect to the origin. Moreover, we provide a criterion on the frame for the boundedness of this set. In this case, we also give a priori bounds.

Paper Details

Date Published: 26 September 2013
PDF: 7 pages
Proc. SPIE 8858, Wavelets and Sparsity XV, 88580D (26 September 2013); doi: 10.1117/12.2022793
Show Author Affiliations
Holger Boche, Technische Univ. München (Germany)
Mijail Guillemard, Technische Univ. Berlin (Germany)
Gitta Kutyniok, Technische Univ. Berlin (Germany)
Friedrich Philipp, Technische Univ. Berlin (Germany)


Published in SPIE Proceedings Vol. 8858:
Wavelets and Sparsity XV
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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