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With increasing number of antennae in base stations, there is considerableinterest in using beamfomining to improve physical layer security, by creatingan `exposure region' that enhances the received signal quality for a legitimateuser and reduces the possibility of leaking information to a randomly locatedpassive eavesdropper. The paper formalises this concept by proposing a noveldefinition for the security level of such a legitimate transmission, called the`Spatial Secrecy Outage Probability' (SSOP). By performing a theoretical andnumerical analysis, it is shown how the antenna array parameters can affect theSSOP and its analytic upper bound. Whilst this approach may be applied to anyarray type and any fading channel model, it is shown here how the securityperformance of a uniform linear array varies in a Rician fading channel byexamining the analytic SSOP upper bound.

Defining Spatial Security Outage Probability for Exposure Region Based Beamforming