Investigation on the Channel Correlation of Cross-Polarized Antenna Array

Regarding to the multi-cluster Laplacian power azimuth spectrum ( PAS) ,a closed-form expression for the channel correlation applicable to the uniform linear array ( ULA) and uniform circular array ( UCA) is derived. Both the PAS and cross-polarization discrimination ( XPD) are taken into consideration. The channel correlation values introduced by the single-and multi-cluster Laplacian distribution with the same angular spread( AS) are compared. The channel correlation as a function of the antenna spacing of the ULA or the radius of the UCA is analyzed in conditions of different ASs in cluster. With different mean angles and ASs the equivalent antenna spacings which produce the same channel correlation with corresponding XPDs are also presented.