Complex orthogonal sequences from amicable Hadamard matrices

L. C. Tran, J. Seberry, B. J. Wysocki, T. A. Wysocki, T. Xia, Ying Zhao

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


The paper deals with the novel technique of designing complex spreading sequences with only four phases (0.25π, 0.75 π, 1.25 π, 1.75 π). The interesting feature of those new sequences is the fact that not only the complex sequences are orthogonal but the real parts and imaginary parts are independently orthogonal. This can be utilized for spreading of complex constellation signals where the independent spreading using bipolar sequences (real part for in-phase component and imaginary part for quadrature component) can be applied. The paper introduces the theoretical background, and some example constructions of the amicable Hadamard matrices and the corresponding complex spreading sequences. The sequences are later modified using a diagonal method to achieve better correlation properties.

Original languageEnglish (US)
Pages (from-to)1490-1493
Number of pages4
JournalIEEE Vehicular Technology Conference
Issue number3
StatePublished - 2004
Externally publishedYes
Event2004 IEEE 59th Vehicular Technology Conference, VTC2004-Spring: Towards a Global Wireless World - Milan, Italy
Duration: May 17 2004May 19 2004


  • Complex spreading sequences
  • Correlation functions
  • Orthogonal sequences
  • Spread spectrum

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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