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A more general narrowband regular-shaped geometry-based statistical model (RS-GBSM) combined with the line of sight (LoS) and single bounce (SB) rays for unmanned aerial vehicle (UAV) multiple-input multiple-output (MIMO) channel is proposed in this paper.The channel characteristics,including space-time correlation function (STCF),Doppler power spectral density (DPSD),level crossing rate (LCR) and average fade duration (AFD),are derived based on the single sphere reference model for a non-isotropic environment.The corresponding sum-of-sinusoids (SoS) simulation models including both the deterministic model and statistical model with finite scatterers are also proposed for practicable implementation.The simulation results illustrate that the simulation models well reproduce the channel characteristics of the single sphere reference model with sufficient simulation scatterers.And the statistical model has a better approximation of the reference model in comparison with the deterministic one when the simulation trials of the stochastic model are sufficient.The effects of the parameters such as flight height,moving direction and Rice factor on the characteristics are also studied.