Abstract—An investigative study of three–parameter diversely polarized array manifold is presented in this paper. With a polarization diversity, an extra degree of signal discrimination is provided to an array system allowing the multipath fading to be mitigated and the performance of a communication system to be significantly enhanced. The main objective in this work is to use differential geometry as a tool to analyze the array manifold of this type. A new mathematical framework based on the study of three–parameter array manifold is proposed in conjunction with an analysis of diversely polarized manifold. Various intrinsic parameters such as arclength, area, and volume are defined to provide a fundamental understanding of the geometrical properties and local behavior of the manifold.
Supawat Supakwong, Athanassios Manikas, Anthony G.