Explicit Solution of Worst-Case Secrecy Rate for MISO Wiretap Channels with Spherical Uncertainty

TL;DR

This paper derives an explicit formula for the maximum worst-case secrecy rate in a MISO wiretap channel with spherical channel uncertainties, optimizing secure communication under worst-case conditions.

Contribution

It provides a closed-form solution for the worst-case secrecy rate in MISO wiretap channels with spherical uncertainty, advancing secure communication design.

Findings

Explicit expression for worst-case secrecy rate

Optimal input covariance under spherical uncertainty

Enhanced understanding of secure MISO channel performance

Abstract

A multiple-input single-output (MISO) wiretap channel model is considered, that includes a multi-antenna transmitter, a single-antenna legitimate receiver and a single-antenna eavesdropper. For the scenario in which spherical uncertainty for both the legitimate and the eavesdropper channels is included, the problem of finding the optimal input covariance that maximizes the worst-case secrecy rate subject to a power constraint, is considered, and an explicit expression for the maximum worst-case secrecy rate is provided.