engleski

Projective Approach in Determining Homogeneous Hypherspherical Geometrically-based Stochastic Channel Model's Statistics: Angle of Departure, Angle of Arrival and Time of Arrival

This paper proposes a novel geometrically-based stochastic channel model with scatterers homogeneously distributed inside of hypersphere- shaped scattering region. The model assumes that base station (BS), mobile stations (MS) and the center of the hyperspherical scattering region are lied on the same line. Under assumptions of signal propagation from the nonelevated omnidirectional BS’s antenna to the nonelevated omnidirectional MS’s antenna via single bounce by one of the scatterers, the marginal PDFs of time of arrival (ToA) and azimuthal angles of arrival (AoA) and departure (AoD)are provided. In general the marginal PDF of elevation AoA and AoD can be deriven from given joint PDF of azimuth and elevation AoA and AoD, respectively, but in general the closed form expresion of marginal PDF of elevation AoA and AoD is provided only for some special cases, while in all other cases the marginal PDF can be evaluated by numerical computation. All derived marginal PDFs are suitable for any position of BS and MS, according to the earlier mentioned restrictions. In order to determine the marginal PDFs a projective approach was introduced. Such an approach allowed, in addition of analyzing special cases of the proposed model such as uniform disk and uniform (hemi)sphere model, analysis of angular PDFs of some models with nonhomogeneously distributed scatterers inside of the scattering region such as invereted parabolic model, Gaussian 2-D model, Gaussian hemisphere model etc. All derived PDFs are verified by comparison with corresponding normalized histograms.

N-dimensinal ; homogeneous ; Gaussian ; inverted parabolic ; disk ; sphere ; hemisphere ; geometric model ; angle-of-arrival ; angle-of-departure ; time-of-arrival ; single bounce scattering ; azimuth ; elevation

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