Analysis of antenna pattern overlap matrix in correlated nonuniform multipath environments

In this paper the covariance matrix of received voltage signals across ports of a multiport antenna in correlated multipath environments is formulated. This eventually leads to some expressions for mean effective gain and directivity in these environments, which to our best knowledge has not been addressed before. The notion of pattern overlap matrix is utilized to coin correlated pattern overlap matrix. We show the crucial role of the latter parameter in general correlated multipath environments.