Secret Key Agreement From Vector Gaussian Sources by Rate Limited Public Communication

Author

Watanabe, Shun ; Oohama, Yasutada

Author_Institution

Dept. of Inf. Sci. & Intell. Syst., Univ. of Tokushima, Tokushima, Japan

Volume

6

Issue

3

fYear

2011

Firstpage

541

Lastpage

550

Abstract

We investigate the secret key agreement from correlated vector Gaussian sources in which legitimate parties can use public communication with limited rate. For the class of protocols with one-way public communication, we show that the optimal trade-off between the rate of key generation and the rate of the public communication is characterized as an optimization problem of a Gaussian random variable. The characterization is derived by using the enhancement technique introduced by Weingarten for multiple-input-multiple-output (MIMO) Gaussian broadcast channel.

Keywords

Gaussian processes; MIMO communication; optimisation; protocols; vectors; wireless channels; Gaussian random variable; MIMO Gaussian broadcast channel; multiple-input-multiple-output Gaussian broadcast channel; optimization problem; protocol; rate limited public communication; secret key agreement; vector Gaussian source; Correlation; Covariance matrix; Entropy; Markov processes; Protocols; Random variables; Tin; Enhancement technique; entropy power inequality; extremal inequality; key agreement; privacy amplification; rate limited public communication; vector Gaussian sources;

fLanguage

English

Journal_Title

Information Forensics and Security, IEEE Transactions on

Publisher

ieee

ISSN

1556-6013

Type

jour

DOI

10.1109/TIFS.2011.2132130

Filename

5738683