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Constructions of unitary space-time codes with full diversity

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Abstract

The problem of constructing unitary space-time codes with high diversity product has been studied in many prior works. Recently, constructions of parametric fully diverse unitary space-time codes for prime number antennas system have been introduced. In this paper, the authors propose new construction methods based on these constructions. And fully diverse codes of any number antennas are obtained from these constructions. Unitary space-time codes from present constructions are found to have better error performance than many best known ones.

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References

  1. Hochwald B M and Sweldens W, Differential unitary space-time modulation, IEEE Trans. Comm., 2000, 48: 2041–2052.

    Article  Google Scholar 

  2. Hughes B L, Differential space-time modulation, IEEE Trans. Info. Theory, 2000, 46: 2567–2578.

    Article  MATH  Google Scholar 

  3. Tarokh V, Seshadri N, and Calderbank A R, A differential detectiopn scheme for transmit diversity, IEEE J. Sel. Area Commun., 2000, 18: 1169–1174.

    Article  Google Scholar 

  4. Hughes B L, Optimal space-time constellations from groups, IEEE Trans. Info. Theory, 2003, 49: 401–410.

    Article  MATH  Google Scholar 

  5. Shokrollahi A, Hassibi B, Hochwald B M, and Sweldens W, Representation theory for high-rate multiple-antenna code designs, IEEE Trans. Info. Theory, 2001, 47: 2335–2367.

    Article  MathSciNet  MATH  Google Scholar 

  6. Abarbanel J, Averbuch A, Rosset R, et al., Unitary non-group STBC from cyclic algebras, IEEE Trans Inform Theory, 2006, 52: 3903–3912.

    Article  MathSciNet  Google Scholar 

  7. Hassibi B and Hochwald B M, Cayley differential unitary space-time codes, IEEE Trans. Info. Theory, 2002, 48: 1485–1503.

    Article  MathSciNet  MATH  Google Scholar 

  8. Oggier F and Hassibi B, Algebraic cayley differential space-time dodes, IEEE Trans. Info. Theory, 2007, 53: 1911–1919.

    Article  MathSciNet  MATH  Google Scholar 

  9. Liang X B and Xia X G, Unitary signal constellations for differential space-time modulation with two transmit antennas: Parametric codes, optimal designs, and bounds, IEEE Trans. Info. Theory, 2002, 48: 2291–2322.

    Article  MathSciNet  MATH  Google Scholar 

  10. Tong H X and Yu F, Constructions of three-transmit-antenna space-time codes. Journal of systems Science and Complexity, 2007, 20: 381–385.

    Article  MathSciNet  Google Scholar 

  11. Yu F and Tong H X, A construction of fully diverse unitary space-time codes. Science in China Series A: Mathematics, 2009, 52: 2163–2170.

    Article  MathSciNet  MATH  Google Scholar 

  12. Han G and Rosenthal J, A numerical approach for designing unitary space time codes with large diversity product and diversity Sum, Proc. IEEE Int. Symp. Information Theory, ISIT, 2003, 178.

    Google Scholar 

  13. Damen A O, Tewfik A, and Belfiore J C, A construction of space-time codes based on number theory, IEEE Trans. Info. Theory, 2002, 48: 753–760.

    Article  MathSciNet  MATH  Google Scholar 

  14. Xing C P, Constructions of unitary space-time codes from number fields. preprint.

  15. Jing Y and Hassibi B, Three-transmit-antenna space-time codes based on SU(3), IEEE Trans. Signal Processing, 2005, 53: 3688–3702.

    Article  MathSciNet  Google Scholar 

  16. Jing Y and Hassibi B, Design of fully diverse multiple-antenna codes based on Sp(2), IEEE Trans. Info. Theory, 2004, 50: 2639–2656.

    Article  MathSciNet  Google Scholar 

  17. Liang X B and Xia X G, Fast differential unitary space-time demodulation via square orthogonal designs, IEEE Trans Wireless Commun, 2005, 4: 1331–1336.

    Article  Google Scholar 

  18. Yuen C, Unitary differential space-time modulation with joint modulation. IEEE Trans. Vehicular Technology, 2007, 56: 3937–3944.

    Article  Google Scholar 

  19. Oggier F, A survey of algebraic unitary codes, IWCC 2009, Lecture Notes in Computer Science, eds. by Xing C., et al., 2009, 5577: 171–187.

  20. Niyomsataya T, Miri A., and Nevins M., Unitary space-time con-stellation designs from group codes, IEEE Trans. Info. Theory, 2007, 53: 4322–4329.

    Article  MathSciNet  Google Scholar 

  21. Creignou J and Diete H, Linear programming bounds for unitary space time codes, Proceedings of International Symposium on Information Theory (ISIT), Toronto, 2008.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Hongxi Tong

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  1. Hongxi Tong
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Correspondence to Hongxi Tong.

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This paper was recommended for publication by Editor HU Lei.

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Tong, H. Constructions of unitary space-time codes with full diversity. J Syst Sci Complex 26, 650–664 (2013). https://doi.org/10.1007/s11424-013-0333-4

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  • DOI: https://doi.org/10.1007/s11424-013-0333-4

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