TY - GEN
T1 - Gaussian secure source coding and Wyner's Common Information
AU - Satpathy, Sanket
AU - Cuff, Paul
N1 - Funding Information:
ACKNOWLEDGMENT: We would like to thank Jingbo Liu for insightful discussions. This work is supported by the National Science Foundation (grants CCF-1350595 and CCF-1116013) and the Air Force Office of Scientific Research (grant FA9550-12-1-0196).
Publisher Copyright:
© 2015 IEEE.
PY - 2015/9/28
Y1 - 2015/9/28
N2 - We study secure source-coding with causal disclosure, under the Gaussian distribution. The optimality of Gaussian auxiliary random variables is shown in various scenarios. We explicitly characterize the tradeoff between the rates of communication and secret key. This tradeoff is the result of a mutual information optimization under Markov constraints. As a corollary, we deduce a general formula for Wyner's Common Information in the Gaussian setting.
AB - We study secure source-coding with causal disclosure, under the Gaussian distribution. The optimality of Gaussian auxiliary random variables is shown in various scenarios. We explicitly characterize the tradeoff between the rates of communication and secret key. This tradeoff is the result of a mutual information optimization under Markov constraints. As a corollary, we deduce a general formula for Wyner's Common Information in the Gaussian setting.
UR - http://www.scopus.com/inward/record.url?scp=84969750198&partnerID=8YFLogxK
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U2 - 10.1109/ISIT.2015.7282428
DO - 10.1109/ISIT.2015.7282428
M3 - Conference contribution
AN - SCOPUS:84969750198
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 116
EP - 120
BT - Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - IEEE International Symposium on Information Theory, ISIT 2015
Y2 - 14 June 2015 through 19 June 2015
ER -