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On the Beneficial Role of a Finite Number of Scatterers for Wireless\n Physical Layer Security

2019/10/22 by Pablo Ramírez-Espinosa, Ramírez-Espinosa, Pablo, R. José Sánchez-Alarcón +3
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Cooperative Communication and Network Coding #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #FOS: Electrical engineering #Information Theory (cs.IT) #Signal Processing (eess.SP) #Wireless Communication Security Techniques #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1910.09856

openalex publication_date 2019/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that for a legitimate communication under multipath quasi-static\nfading with a reduced number of scatterers, it is possible to achieve perfect\nsecrecy even in the presence of a passive eavesdropper for which no channel\nstate information is available. Specifically, we show that the outage\nprobability of secrecy capacity (OPSC) is zero for a given range of average\nsignal-to-noise ratios (SNRs) at the legitimate and eavesdropper's receivers.\nAs an application example, we analyze the OPSC for the case of two scatterers,\nexplicitly deriving the relationship between the average SNRs, the secrecy rate\nRs and the fading model parameters required for achieving perfect secrecy.\nThe impact of increasing the number of scatterers is also analyzed, showing\nthat it is always possible to achieve perfect secrecy in this scenario,\nprovided that the dominant specular component for the legitimate channel is\nsufficiently large compared to the remaining scattered waves.\n

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