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This work proposes a novel outer bound for the Gaussian cognitiveinterference channel in strong interference at the primary receiver based onthe capacity of a multi-antenna broadcast channel with degraded message set. Itthen shows that for the Z-channel, i.e., when the secondary receiverexperiences no interference and the primary receiver experiences stronginterference, the proposed outer bound not only is the tightest among knownbounds but is actually achievable for sufficiently strong interference. Thelatter is a novel capacity result that from numerical evaluations appears to begeneralizable to a larger (i.e., non-Z) class of Gaussian channels.

A New Capacity Result for the Z-Gaussian Cognitive Interference Channel