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Optimal Beamforming for Gaussian MIMO Wiretap Channels With Two Transmit Antennas

Author(s): Vaezi, Mojtaba; Shin, Wonjae; Poor, H Vincent

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Abstract: A Gaussian multiple-input multiple-output wiretap channel in which the eavesdropper and legitimate receiver are equipped with arbitrary numbers of antennas and the transmitter has two antennas is studied in this paper. The input covariance matrix that achieves the secrecy capacity is determined. In particular, it is shown that the secrecy capacity of this channel can be achieved by linear precoding. Precoding and power allocation schemes that maximize the achievable secrecy rate, and thus achieve the secrecy capacity, are developed. The secrecy capacity is then compared with the achievable secrecy rate of generalized singular value decomposition (GSVD)-based precoding, which is the best previously proposed technique for this problem. Numerical results demonstrate that substantial gain can be obtained in secrecy rate between the proposed and GSVD-based precodings.
Publication Date: 25-Jul-2017
Citation: Vaezi, Mojtaba, Shin, Wonjae, Poor, H Vincent. (2017). Optimal Beamforming for Gaussian MIMO Wiretap Channels With Two Transmit Antennas. IEEE Transactions on Wireless Communications, 16 (10), 6726 - 6735. doi:10.1109/twc.2017.2729541
DOI: doi:10.1109/twc.2017.2729541
ISSN: 1536-1276
Pages: 6726 - 6735
Type of Material: Journal Article
Journal/Proceeding Title: IEEE Transactions on Wireless Communications
Version: Author's manuscript

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