This paper addresses the extension of a stochastic geometry-based scattering model to multipolarized transmissions. The initial approach is based on a geometrical distribution of obstacles derived from known power-delay profiles. Each scattering process is statistically described by a matrix reflection coefficient corresponding to dual-polarization states. Ultimately, the model allows us to simulate the effects of the range on K-factor, delay-spread, Doppler spectrum, channel correlations and capacity, branch power ratio, and cross-polar discrimination. Simulation results are compared with existing measurements at 2.5 GHz. The proposed model is then used to investigate various dual-polarization 2 x 2 multiple-input-multiple-output (MIMO) schemes such as 0degrees/90degrees or +/-45degrees, as well as to optimize the design of multipolarized MIMO schemes.
Oestges, C., Erceg, V., & Paulraj, A. (2004). Propagation modeling of MIMO multipolarized fixed wireless channels. IEEE Transactions on Vehicular Technology, 53(3), 644-654. https://doi.org/10.1109/TVT.2004.827149 (Original work published 2004)