On the Optimal Precoding for MIMO Gaussian Wire-Tap Channels

Conference: ISWCS 2013 - The Tenth International Symposium on Wireless Communication Systems
08/27/2013 - 08/30/2013 at Ilmenau, Deutschland

Proceedings: ISWCS 2013

Pages: 4Language: englishTyp: PDF

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Authors:
Khabbazibasmenj, Arash; Vorobyov, Sergiy A. (University of Alberta, Department of Electrical and Computer Engineering, Alberta, Canada)
Girnyk, Maksym A.; Vehkaperä, Mikko (KTH Royal Institute of Technology, School of Electrical Engineering and the ACCESS Linnaeus Center, Sweden)
Rasmussen, Lars K. (Aalto University, School of Electrical Engineering, Department of Signal Processing and Acoustics, Finland)

Abstract:
We consider the problem of finding secrecy rate of a multiple-input multiple-output (MIMO) wire-tap channel. A transmitter, a legitimate receiver, and an eavesdropper are all equipped with multiple antennas. The channel states from the transmitter to the legitimate user and to the eavesdropper are assumed to be known at the transmitter. In this contribution, we address the problem of finding the optimal precoder/transmit covariance matrix maximizing the secrecy rate of the given wiretap channel. The problem formulation is shown to be equivalent to a difference of convex functions programming problem and an efficient algorithm for addressing this problem is developed.