Signal Recovery from Thresholded Frame Measurements
Please always quote using this URN:urn:nbn:de:0296-matheon-12434
- 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.
Author: | Holger Boche, Mijail Guillemard, Gitta Kutyniok, Friedrich Philipp |
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URN: | urn:nbn:de:0296-matheon-12434 |
Referee: | Volker Mehrmann |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2013/09/03 |
Release Date: | 2013/09/03 |
Institute: | Research Center Matheon |
Technische Universität Berlin | |
MSC-Classification: | 15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15-06 Proceedings, conferences, collections, etc. |
Preprint Number: | 1032 |