Theoretical polarized channel model and analysis of XPD and polarization correlation under narrowband macrocell environment

A theoretical polarized channel model has been proposed by introducing per path polarization characterization based on geometrical depolarization theory. According to the model, polarization array response vector for narrowband macro-cell environment has been derived through intricate geometrical deduction. Mathematical expressions for polarized channel power imbalance XPD (cross polarization discrimination) and polarization correlation have been developed by using VMF (von Mises-Fisher) distribution which characterizes both azimuth and elevation angle. Numerical integration technique is used to analyze the effect of scatterers' angular characteristics including average azimuth angle, average elevation angle and angular spread on XPD and polarization correlation due to the complexity of geometrical deduction. Our analytical results agree well with previous published XPD and polarization correlation measurements and can be used to predict further XPD and polarization correlation characteristics. Analytical results indicate that both XPD and polarization correlation are highly angle-sensitive.