Yuan, JingChen, GaojieWen, MiaowenTafazolli, RahimPanayırcı, Erdal2023-10-192023-10-19202330018-95451939-9359https://doi.org/10.1109/TVT.2022.3229409https://hdl.handle.net/20.500.12469/5283The non-terrestrial networks (NTNs) are recognized as a key component to provide cost-effective and high-capacity ubiquitous connectivity in the future wireless communications. In this paper, we investigate the secure transmission in a terahertz (THz)-empowered reconfigurable intelligent surface (RIS)-assisted NTN (T-RANTN), which is composed of a low-Earth orbit satellite transmitter, an RIS-installed high-altitude platform (HAP) and two unmanned aerial vehicle (UAV) receivers, only one of which is trustworthy. An approximate ergodic secrecy rate (ESR) expression is derived when the atmosphere turbulence and pointing error due to the characteristics of THz as well as the phase errors resulting from finite precision of RIS and imperfect channel estimation are taken into account simultaneously. Furthermore, according to the statistical and perfect channel state information of the untrustworthy receiver, we optimize the phase shifts of RIS to maximize the lower bound of secrecy rate (SR) and instantaneous SR, respectively, by using semidefinite relaxation method. Simulation results show that both the approximate expression for the ESR and the optimization algorithms are serviceable, and even when the jitter standard variance of the trustworthy receiver is greater than that of the untrustworthy one, a positive SR can still be guaranteed.eninfo:eu-repo/semantics/openAccessDiscrete Phase-ShiftsPerformance AnalysisAided CommunicationsOutage ProbabilityIntelligentCommunicationOptimizationSystemsRobustModelReceiversLow earth orbit satellitesDiscrete Phase-ShiftsSatellite broadcastingPerformance AnalysisSecurityAided CommunicationsTerrestrial atmosphereOutage ProbabilityAtmospheric modelingIntelligentSatellitesCommunicationReconfigurable intelligent surface (RIS)Optimizationnon-terrestrial networks (NTNs)Systemsergodic secrecy rate (ESR)Robustphase errorModelpointing errorArticle59896000572WOS:00099184970003510.1109/TVT.2022.32294092-s2.0-85144786189Q1Q1