Full Rank Solutions for the MIMO Gaussian Wiretap Channel with an Average Power Constraint

Abstract

This paper considers a multiple-input multiple-output (MIMO) Gaussian wiretap channel model, where there exists a transmitter, a legitimate receiver and an eavesdropper, each equipped with multiple antennas. In this paper, we first revisit the rank property of the optimal input covariance matrix that achieves the secrecy capacity of the multiple antenna MIMO Gaussian wiretap channel under the average power constraint. Next, we obtain necessary and sufficient conditions on the MIMO wiretap channel parameters such that the optimal input covariance matrix is full-rank, and we fully characterize the resulting covariance matrix as well. Numerical results are presented to illustrate the proposed theoretical findings.

References in corpus (4)

• Discrete Memoryless Interference and Broadcast Channels with Confidential Messages: Secrecy Rate Regions
• Towards the Secrecy Capacity of the Gaussian MIMO Wire-tap Channel: The 2-2-1 Channel
• Transmitter Optimization for Achieving Secrecy Capacity in Gaussian MIMO Wiretap Channels
• A Note on the Secrecy Capacity of the Multi-antenna Wiretap Channel

Cited by in corpus (8)

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• Intelligent Reflecting Surface Assisted Secure Wireless Communications with Multiple-Transmit and Multiple-Receive Antennas
• The Secrecy Capacity of Gaussian MIMO Channels with Finite Memory - Full Version
• Deep Learning based Precoding for the MIMO Gaussian Wiretap Channel
• Power Allocation in MIMO Wiretap Channel with Statistical CSI and Finite-Alphabet Input
• Resource Allocation Strategies for Secure WPCN Multiantenna Multicasting Systems