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The role of multiple antennas for secure communication is investigated within the framework of Wyner's wiretap channel. We characterize the secrecy capacity in terms of generalized eigenvalues when the sender and eavesdropper have multiple antennas, the intended receiver has a single antenna, and the channel matrices are fixed and known to all the terminals, and show that a beamforming strategy is capacity-achieving. In addition, we study a masked beamforming scheme that radiates powerdoi:10.1109/tit.2010.2048445 fatcat:mszojjr2cbhprd26hdc5hktbni