On the diversity-multiplexing tradeoff of secret-key agreement over multiple-antenna channels

Author

Zorgui, Marwen ; Rezki, Zouheir ; Alomair, Basel ; Alouini, Mohamed-Slim

Author_Institution

Comput., Electr., & Math. Sci. & Eng. (CEMSE) Div., King Abdullah Univ. of Sci. & Technol. (KAUST), Thuwal, Saudi Arabia

fYear

2014

fDate

Sept. 30 2014-Oct. 3 2014

Firstpage

175

Lastpage

182

Abstract

We consider secret-key agreement with public discussion over Rayleigh fading quasi-static channels. First, the secret-key diversity gain and the secret-key multiplexing gain are defined. Then, the secret-key diversity multiplexing tradeoff (DMT) is established. The eavesdropper is shown to “steal” only transmit antennas. We show that likewise the DMT without secrecy constraint, the secret-key DMT is the same either with or without full channel state information (CSI) at the transmitter (CSI-T). This insensitivity of secret-key DMT toward CSI-T highlights a fundamental difference between secret-key agreement and the wiretap channel whose secret DMT depends crucially on CSI-T. Several secret-key DMT-achieving schemes are presented in case of full CSI-T.

Keywords

Rayleigh channels; fading channels; transmitting antennas; wireless channels; CSI at the transmitter; CSI-T; DMT; Rayleigh fading quasistatic channels; channel state information; multipleantenna channels; secrecy constraint; secret key agreement; secret key diversity gain; secret key multiplexing gain; secret-key diversity multiplexing tradeoff; transmit antennas; wiretap channel; Covariance matrices; Diversity methods; High definition video; MIMO; Multiplexing; Signal to noise ratio; Secret-key agreement; diversity multiplexing tradeoff; highpower; outage probability;

fLanguage

English

Publisher

ieee

Conference_Titel

Communication, Control, and Computing (Allerton), 2014 52nd Annual Allerton Conference on

Conference_Location

Monticello, IL

Type

conf

DOI

10.1109/ALLERTON.2014.7028453

Filename

7028453