Filter design with secrecy constraints: The multiple-input multiple-output Gaussian wiretap channel with zero forcing receive fi

This paper considers the problem of lter design with secrecy constraints, where two legitimate parties (Alice and Bob) communicate in the presence of an eavesdropper (Eve), over a Gaussian multiple-input multiple-output (MIMO) wiretap channel. This problem involves the design of transmit and receive lters which minimize the mean-square error (MSE) between the legitimate parties, whilst assuring that the eavesdropper MSE remains above a certain level. We characterize the form of the optimal transmit lter when both the legitimate receiver and the eavesdropper employ Zero-Forcing (ZF) lters. By capitalizing on the dual problem, we also show that the original matrix optimization problem can be reduced to a simple scalar optimization problem, whose solution can be readily computed by employing a simple bisection method. Numerical results illustrate the main conclusions.

• Type: Journal
• Year: 2011
• Where: ICASSP
• Authors: Hugo Reboredo, Vinay Uday Prabhu, Miguel R. D. Rodrigues, Joao Xavier
• Keywords: ICASSP 2011, Legitimate Parties, Optimal Transmit Lter, Optimization Problem, Signal Processing