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In this paper, collaborative use of relays to form a beamforming system and provide physical-layer security is investigated. In particular, Amplify-and-Forward (AF) relay beamforming designs under total and individual relay power constraints are studied with the goal of maximizing the secrecy rates when perfect Channel State Information (CSI) is available. In the AF scheme, not having analytical solutions for the optimal beamforming design under both total and individual power constraints, an iterative algorithm is proposed to numerically obtain the optimal beamforming structure and maximize the secrecy rates. Robust beamforming designs in the presence of imperfect CSI are investigated for Decode-and-Forward (DF) based relay beamforming, and optimization frameworks are provided.
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