2021/02/28 by Yagiz Savas, Abolfazl Hashemi, Savas, Yagiz +7 · 1 citation
Computer Science · Engineering · #FOS: Electrical engineering #Privacy-Preserving Technologies in Data #Security in Wireless Sensor Networks #Signal Processing (eess.SP) #Wireless Communication Security Techniques #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2103.00630
openalex publication_date 2021/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the problem of securely communicating a sequence of information bits\nwith a client in the presence of multiple adversaries at unknown locations in\nthe environment. We assume that the client and the adversaries are located in\nthe far-field region, and all possible directions for each adversary can be\nexpressed as a continuous interval of directions. In such a setting, we develop\na periodic transmission strategy, i.e., a sequence of joint beamforming gain\nand artificial noise pairs, that prevents the adversaries from decreasing their\nuncertainty on the information sequence by eavesdropping on the transmission.\nWe formulate a series of nonconvex semi-infinite optimization problems to\nsynthesize the transmission strategy. We show that the semi-definite program\n(SDP) relaxations of these nonconvex problems are exact under an efficiently\nverifiable sufficient condition. We approximate the SDP relaxations, which are\nsubject to infinitely many constraints, by randomly sampling a finite subset of\nthe constraints and establish the probability with which optimal solutions to\nthe obtained finite SDPs and the semi-infinite SDPs coincide. We demonstrate\nwith numerical simulations that the proposed periodic strategy can ensure the\nsecurity of communication in scenarios in which all stationary strategies fail\nto guarantee security.\n