Secrecy Outage Probability: Revisited

01/05/2022

∙

by   Makan Zamanipour, et al.

∙

0

∙

share

This paper technically explores the secrecy outage probability (SOP) Λ and a minimisation problem over it as 𝕄in_(·) ℙ𝓇( Λ≥λ). We consider a Riemannian manifold for it and we mathematically define a volume for it as 𝕍ℴ𝓁{Λ}. Through achieving a new upper-bound for the Riemannian manifold and its volume, we subsequently relate it to the number of eigenvalues existing in the relative probabilistic closure. We prove in-between some novel lemmas with the aid of some useful inequalities such as the Finsler's lemma, the generalised Young's inequality, the generalised Brunn-Minkowski inequality, the Talagrand's concentration inequality.