Unitary Space Time Constellation Analysis: An Upper Bound for the Diversity

TL;DR

This paper derives theoretical upper bounds on the diversity sum and product for unitary space-time constellations of any dimension and size, using packing techniques on the Lie group U(n).

Contribution

It introduces general upper bounds for diversity parameters of unitary constellations, advancing understanding of optimal design limits.

Findings

Derived upper bounds for diversity sum and product

Applicable to any dimension and constellation size

Uses packing techniques on U(n)

Abstract

The diversity product and the diversity sum are two very important parameters for a good-performing unitary space time constellation. A basic question is what the maximal diversity product (or sum) is. In this paper we are going to derive general upper bounds on the diversity sum and the diversity product for unitary constellations of any dimension $n$ and any size $m$ using packing techniques on the compact Lie group U(n).