A construction technique for generalized complex orthogonal designs and applications to wireless communications

Jennifer Seberry, Sarah A. Spence, Tadeusz A. Wysocki

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We introduce a construction technique for generalized complex linear processing orthogonal designs, which are p × n matrices X satisfying XHX = fI, 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.

Original languageEnglish (US)
Pages (from-to)163-176
Number of pages14
JournalLinear Algebra and Its Applications
Volume405
Issue number1-3
DOIs
StatePublished - Aug 1 2005
Externally publishedYes

Keywords

  • Generalized complex orthogonal designs
  • Orthogonal designs
  • Orthogonal space-time block codes
  • Wireless communications

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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