A Construction Technique for Generalized Complex Orthogonal Designs and Applications to Wireless Communications

J. Seberry, University of Wollongong
S. A. Spence, Franklin Olin College of Engineering, Needham USA
T. A. Wysocki, University of Wollongong

Article comments

This article was originally published as Seberry, J, Spence, SA and Wysocki, TA, A Construction Technique for Generalized Complex Orthogonal Designs and Applications to Wireless Communications, Linear Algebra and its Applications, 405, 2005, 163-176. Copyright Elsevier 2005. Original journal available here.

Abstract

We introduce a construction technique for generalized complex linear processing orthogonal designs, which are p x n matrices X satisfying XHX = f I, where f is a complex quadratic form, I is the identity matrix, and X has complex entries. These matrices generalize the familiar notions of orthogonal designs and generalized complex orthogonal designs. We explain the application of these matrices to space-time block coding for multiple-antenna wireless communications. In particular, we discuss the practical strengths of the space-time block codes constructed via our proposed technique