Scalar Gaussian Wiretap Channel: Properties of the Support Size of the Secrecy-Capacity-Achieving Distribution

09/03/2021

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by   Luca Barletta, et al.

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This work studies the secrecy-capacity of a scalar-Gaussian wiretap channel with an amplitude constraint on the input. It is known that for this channel, the secrecy-capacity-achieving distribution is discrete with finitely many points. This work improves such result by showing an upper bound of the order 𝖠/σ_1^2 where 𝖠 is the amplitude constraint and σ_1^2 is the variance of the Gaussian noise over the legitimate channel.