Space-Time Channel Correlation of MIMO Rayleigh Fading Based on Non-isotropic 3D Scattering

In this paper, a general space time correlation function is derived for narrowband (MIMO) Rayleigh fading channels assuming 3D scattering around the mobile station (MS). Non-isotropic scattering is assumed, and the Von Mises PDF of the angle of arrival (AOA) is used. The resulting 3D based correlation functions contain general non-isotropic 2D based functions, as well as isotropic 3D based functions as special cases. It has been shown that non-isotropic scattering increases the channel correlation as functions of the MS antenna spacing. Also, as means of proving the validity of the derived correlation functions, a multichannel autoregressive (AR) simulation method is used to generate channel samples possessing those correlation statistics.