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This paper considers a multiple-input multiple-output (MIMO) Gaussian wiretapchannel model, where there exists a transmitter, a legitimate receiver and aneavesdropper, each equipped with multiple antennas. Perfect secrecy is achievedwhen the transmitter and the legitimate receiver can communicate at somepositive rate, while ensuring that the eavesdropper gets zero bits ofinformation. In this paper, the perfect secrecy capacity of the multipleantenna MIMO wiretap channel is found for aribtrary numbers of antennas underthe assumption that the transmitter performs beamforming based on thegeneralized singular value decomposition (GSVD). More precisely, the optimalallocation of power for the GSVD-based precoder that achieves the secrecycapacity is derived. This solution is shown to have several advantages overprior work that considered secrecy capacity for the general MIMO Gaussianwiretap channel under a high SNR assumption. Numerical results are presented toillustrate the proposed theoretical findings.

Optimal Power Allocation for GSVD-Based Beamforming in the MIMO Wiretap Channel