A classification of multiple antenna channels

Abstract

We propose a new classification of multiple antenna channels. The classification is performed in the space of Hermitian forms defined by the channel representation. We introduce a geodesic metric between Hermitian forms and we build a finite number of classes. The centroids of the classification are found by a generalized Lloyd algorithm. Numerical examples illustrate the geodesic orbits, capacity and error rate for 2 and 4 antennas