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The association of the residual error of dual-frequency Global Navigation Satellite Systems with ionospheric turbulence parameters
Authors:BC Kim  MV Tinin
Institution:1. Pusan National University, 50 Cheonghak-ri, Samrangjin-eup, Miryang-city, Gyeoungnam 627-706, Korea;2. Irkutsk State University, 20 Gagarin Blvd, Irkutsk 664003, Russia;1. Space Research Institute of RAS, Profsoyuznaya ul., 84/32, 117997, Moscow, Russia;2. The Yu.G. Shafer Institute of Cosmophysical Research and Aeronomy, SB of RAS, Yakutsk, Russia;3. Pushkov Institute of Terrestrial Magnetism, The Ionosphere and Radio Wave Propagation Russian Academy of Sciences, Troitsk, Moscow, Russia;1. Department of Information Engineering, Electronics, and Telecommunications, SAPIENZA University of Rome, Via Eudossiana 18, 00184 Rome, Italy;2. Department of Computer Science, Ryerson University, 350 Victoria Street, Toronto, ON M5B 2K3, Canada;3. Department of Environment and Health, Istituto Superiore di Sanità, Viale Regina Elena 299, 00161 Rome, Italy;1. Democritus University of Thrace, Department of Electrical Engineering, 67100, Xanthi, Greece;2. Space Research Institute (IKI), Russian Academy of Sciences, Profsoyuznaya ul. 84/32, Moscow, 117997, Russia;3. Department of Physics, Aristotle University of Thessaloniki, 54624, Thessaloniki, Greece;1. Grupo de Física Teórica e Matemática Física, Departamento de Física, Universidade Federal Rural do Rio de Janeiro, BR 465-07, 23890-971, Seropédica, RJ, Brazil;2. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brazil
Abstract:The effects of ionospheric scintillation on the residual error of the dual-frequency Global Navigation Satellite System are investigated. For the ordinary and extraordinary waves the scalar wave equations are obtained to a high-frequency approximation from the Maxwell equations. The solution for these scalar equations to the second-order Rytov approximation made it possible to determine the residual error up to the third order taking into account the ionospheric anisotropy and diffraction effects appearing when the signal is propagating through a turbulent ionospheric plasma. It is shown that the third-order effects, associated with scintillation, that is, with the propagation of the signal through a randomly inhomogeneous ionosphere, can be dominant and exceed second-order effects associated with the influence of the geomagnetic field. We investigate the association of the residual error with such parameters of ionospheric turbulence as the variance, and the inner and outer scales.
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