Chapter 5. Trace-Orthogonal Full Diversity Cyclotomic Space-Time Codes

  1. A. B. Gershman1,2 and
  2. N. D. Sidiropoulos3
  1. Jian-Kang Zhang,
  2. Jing Liu and
  3. Kon Max Wong

Published Online: 30 JUN 2005

DOI: 10.1002/0470010045.ch5

Space-Time Processing for MIMO Communications

Space-Time Processing for MIMO Communications

How to Cite

Zhang, J.-K., Liu, J. and Wong, K. M. (2005) Trace-Orthogonal Full Diversity Cyclotomic Space-Time Codes, in Space-Time Processing for MIMO Communications (eds A. B. Gershman and N. D. Sidiropoulos), John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470010045.ch5

Editor Information

  1. 1

    McMaster University, Hamilton, ON, Canada

  2. 2

    University of Duisburg-Essen, Duisburg, Germany

  3. 3

    Technical University of Crete, Crete, Greece

Author Information

  1. McMaster University, Hamilton, ON, Canada

Publication History

  1. Published Online: 30 JUN 2005
  2. Published Print: 22 APR 2005

ISBN Information

Print ISBN: 9780470010020

Online ISBN: 9780470010044

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Keywords:

  • cyclotomic space-time codes;
  • channel;
  • Diophantine number;
  • kronecker delta;
  • coding gain;
  • intra-unitary structure;
  • rotation matrix;
  • Euler function;
  • full rate

Summary

This chapter contains sections titled:

  • Introduction

  • Channel Model with Linear Dispersion Codes

  • Good Structures for LD Codes: Trace Orthogonality

  • Trace-orthogonal LD Codes

  • Construction of Trace Orthogonal LD Codes

  • Design of Full Diversity LD Codes

  • Design of Full Diversity Linear Space-time Block Codes for N < M

  • Design Examples and Simulations

  • Conclusion

  • References