2016/12/07 by Ted Hurley, Hurley, Ted
Agricultural and Biological Sciences · Computer Science · Engineering · #16S99 #94A05 #Advanced Scientific Research Methods #FOS: Computer and information sciences #Information Theory (cs.IT) #Matrix Theory and Algorithms #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1612.02202
openalex publication_date 2016/12/07 · openalex created_date 2017/01/06 · openalex updated_date 2026/07/28
Orthogonal sets of idempotents are used to design sets of unitary matrices, known as constellations, such that the modulus of the determinant of the difference of any two distinct elements is greater than 0. It is shown that unitary matrices in general are derived from orthogonal sets of idempotents reducing the design problem to a construction problem of unitary matrices from such sets. The quality of the constellations constructed in this way and the actual differences between the unitary matrices can be determined algebraically from the idempotents used. This has applications to the design of unitary space time constellations.