Title
On the security of random linear measurements
Abstract
In this paper, we analyze the security of compressed sensing (CS) as a cryptosystem. We demonstrate that random linear measurements acquired using a Gaussian i.i.d. matrix reveal only the energy of the sensed signal, and that only the energy of the measurements leaks information about the signal. We provide useful bounds for assessing the information leakage about the energy, linking those bounds to the minimum mean square error achievable by practical estimators. Moreover, we propose a simple strategy based on the normalization of the measurements which achieves, at least in theory, perfect secrecy, enabling the use of CS-based encryption in practical cryptosystems.
Year
DOI
Venue
2014
10.1109/ICASSP.2014.6854351
Acoustics, Speech and Signal Processing
Keywords
Field
DocType
Gaussian distribution,compressed sensing,cryptography,least mean squares methods,telecommunication security,CS-based encryption,Gaussian i.i.d. matrix,compressed sensing,cryptosystem,minimum mean square error,random linear measurements,Compressed sensing,encryption,random matrices,security
Mathematical optimization,Information leakage,Computer science,Algorithm,Minimum mean square error,Encryption,Theoretical computer science,Cryptosystem,Gaussian,Information-theoretic security,Compressed sensing,Estimator
Conference
ISSN
Citations 
PageRank 
1520-6149
9
0.68
References 
Authors
0
3
Name
Order
Citations
PageRank
Tiziano Bianchi1100362.55
Valerio Bioglio212915.83
Enrico Magli31319114.81