A high altitude platform station (HAPS) based communications scenario for providing Internet accessand broadband multimedia services to the passengers on board of a high speed train (traveling up to300km/h) is proposed. Regarding the addressed scenario, when the propagation link between HAPS andtrain is blocked by obstacles, a three-dimensional (3-D) geometrical single cylinder spatial-temporalchannel model is presented, in which closed form, mathematically tractable space-time correlation functionsare obtained. It shows that the correlation functions determined by the 3-D model are of significantdifference with those of the conventional 2-D model. Based on the analysis model, the paper derives a realizedsimulation model using sum-of-sinusoids approach, and applies method of equal areas (MEA) andmodified method of equal areas (MMEA) to determine the model parameters. The fitting performance ofthe simulation model with the analysis one is evaluated by two means-square error (MSE) performancecriteria. Finally, numerical simulation results verify the mathematical analysis conclusion, when N≥21,simulation model has an excellent fitness with the analysis one.
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