Unitary Matrices with Maximal or near Maximal Diversity Product
Guangyue Han, Keith Portman, Joachim Rosenthal · 2001
Fully diversified constellations with large diversity product are playing an important role in improving the data rate of systems with multiple antennas. In this paper we study some optimal and some near optimal constellations. For constellations with exactly 3 elements several methods are provided to estimate the performance of the constellation. In the case of diagonal constellations, tools from linear programming are used to describe an upper bound and a lower bound for the best diversity product of a constellation with a fixed number of elements. For 2-dimensional constellations we provide two construction methods and we prove that they have better performance than orthogonal constellations. Index Terms –wireless communications, diversity product, constellation design, space-time coding. 1