Families of unitary matrices achieving full diversity

TL;DR

This paper introduces an algebraic method to construct families of unitary matrices from cyclic division algebras that achieve full diversity, enhancing the design of robust communication systems.

Contribution

It provides a novel algebraic construction of unitary matrices achieving full diversity using cyclic division algebras.

Findings

Constructed families of unitary matrices with full diversity

Demonstrated algebraic approach from cyclic division algebras

Potential applications in communication system design

Abstract

This paper presents an algebraic construction of families of unitary matrices that achieve full diversity. They are obtained as subsets of cyclic division algebras.