We propose a new approach for the recovery of binary signals in compressed sensing, based on the local minimization of a non-convex cost functional. The desired signal is proved to be a local minimum of the functional under mild conditions on the sensing matrix and on the number of measurements. We develop a procedure to achieve the desired local minimum, and, finally, we propose numerical experiments that show the improvement obtained by the proposed approach with respect to classical convex methods.
Non-convex approach to binary compressed sensing / Fosson, Sophie M.. - 2018-(2019), pp. 1959-1963. ((Intervento presentato al convegno 52nd Asilomar Conference on Signals, Systems and Computers, ACSSC 2018 tenutosi a Asilomar, CA, USA nel 2018.
Titolo: | Non-convex approach to binary compressed sensing |
Autori: | |
Data di pubblicazione: | 2019 |
Serie: | |
Abstract: | We propose a new approach for the recovery of binary signals in compressed sensing, based on the ...local minimization of a non-convex cost functional. The desired signal is proved to be a local minimum of the functional under mild conditions on the sensing matrix and on the number of measurements. We develop a procedure to achieve the desired local minimum, and, finally, we propose numerical experiments that show the improvement obtained by the proposed approach with respect to classical convex methods. |
ISBN: | 9781538692189 |
Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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http://hdl.handle.net/11583/2729893