Secret sharing over fast-fading MIMO wiretap channels

Authors:
Tan F. Wong;Matthieu Bloch;John M. Shea
Affiliations:
Wireless Information Networking Group, University of Florida, Gainesvilles, FL;School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA and GT-CNRS UMI, Metz, France;Wireless Information Networking Group, University of Florida, Gainesvilles, FL
Venue:
EURASIP Journal on Wireless Communications and Networking - Special issue on wireless physical layer security
Year:
2009

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Abstract

Secret sharing over the fast-fading MIMO wiretap channel is considered. A source and a destination try to share secret information over a fast-fading MIMO channel in the presence of an eavesdropper who also makes channel observations that are different from but correlated to those made by the destination. An interactive, authenticated public channel with unlimited capacity is available to the source and destination for the secret sharing process. This situation is a special case of the "channel model with wiretapper" considered by Ahlswede and Csiszár. An extension of their result to continuous channel alphabets is employed to evaluate the key capacity of the fast-fading MIMO wiretap channel. The effects of spatial dimensionality provided by the use of multiple antennas at the source, destination, and eavesdropper are then investigated.