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The secrecy of compressed sensing measurements

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2 Author(s)
Rachlin, Y. ; Accenture Technol. Labs., Chicago, IL ; Baron, D.

Results in compressed sensing describe the feasibility of reconstructing sparse signals using a small number of linear measurements. In addition to compressing the signal, do these measurements provide secrecy? This paper considers secrecy in the context of an adversary that does not know the measurement matrix used to encrypt the signal. We demonstrate that compressed sensing-based encryption does not achieve Shannon's definition of perfect secrecy, but can provide a computational guarantee of secrecy.

Published in:

Communication, Control, and Computing, 2008 46th Annual Allerton Conference on

Date of Conference:

23-26 Sept. 2008