Skip to main content
Article thumbnail
Location of Repository

Upper bounds of rates of complex orthogonal space-time block codes

By Haiquan Wang, Xiang-gen Xia and Senior Member

Abstract

Abstract—In this correspondence, we derive some upper bounds of the rates of (generalized) complex orthogonal space–time block codes. We first present some new properties of complex orthogonal designs and then show that the rates of complex orthogonal space–time block codes for more than two transmit antennas are upper-bounded by Q R. We show that the rates of generalized complex orthogonal space–time block codes for more than two transmit antennas are upper-bounded by R S, where the norms of column vectors may not be necessarily the same. We also present another upper bound under a certain condition. For a (generalized) complex orthogonal design, its variables are not restricted to any alphabet sets but are on the whole complex plane. In this correspondence, a (generalized) complex orthogonal design with variables over some alphabet sets on the complex plane is also considered. We obtain a condition on the alphabet sets such that a (generalized) complex orthogonal design with variables over these alphabet sets is also a conventional (generalized) complex orthogonal design and, therefore, the above upper bounds on its rate also hold. We show that commonly used quadrature amplitude modulation (QAM) constellations of sizes above R satisfy this condition. Index Terms—Complex orthogonal designs, complex orthogonal space– time block codes, Hermitian compositions of quadratic forms, Hurwitz family, Hurwitz–Radon theory. I

Year: 2003
OAI identifier: oai:CiteSeerX.psu:10.1.1.134.6261
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.ee.udel.edu/~xxia/W... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.