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Explicit-form complex orthogonal design for space-time block codes

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Abstract

In this paper, we present a construction of complex orthogonal design for space-time block codes in any number of antennas. Our construction achieves both the maximal rate and minimal delay. So far as we know, our construction is the first explicit-form construction, which has asymptotically optimal time complexity and space complexity. And new representation of complex orthogonal design might bring advantages in analyzing some properties. In addition, when the number of antennas n ≡ 1, 2, 3 (mod 4), our construction satisfies transceiver signal linearization property, which allows for design of low complexity channel equalizers and interference suppressing filters.

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References

  1. Alamouti S. A simple transmit diversity technique for wireless communications. IEEE J Sel Area Comm, 1998, 16: 1451–1458

    Article  Google Scholar 

  2. Tarokh V, Jafarkhani H, Calderbank A R. Space-time block codes from orthogonal designs. IEEE Trans Inform Theory, 1999, 45: 1456–1467

    Article  MathSciNet  MATH  Google Scholar 

  3. Wang H, Xia X G. Upper bounds of rates of complex orthogonal space-time block codes. IEEE Trans Inform Theory, 2003, 49: 2788–2796

    Article  MathSciNet  Google Scholar 

  4. Liang X B. Orthogonal designs with maximal rates. IEEE Trans Inform Theory, 2003, 49: 2468–2503

    Article  MathSciNet  Google Scholar 

  5. Kan H, Shen H. A counterexample for the open problem on the minimal delays of orthogonal designs with maximal rates. IEEE Trans Inform Theory, 2005, 51: 355–359

    Article  MathSciNet  Google Scholar 

  6. Adams S S, Karst N, Pollack J. The minimum decoding delay of maximum rate complex orthogonal space-time block codes. IEEE Trans Inform Theory, 2007, 53: 2677–2684

    Article  MathSciNet  Google Scholar 

  7. Adams S S, Karst N, Murugan M K. The final case of the decoding delay problem for maximum rate complex orthogonal designs. IEEE Trans Inform Theory, 2010, 56: 103–122

    Article  MathSciNet  Google Scholar 

  8. Su W, Xia X G, Lui K J R. A systematic design of high-rate complex orthogonal space-time block codes. IEEE Commun Lett, 2004, 8: 380–382

    Article  Google Scholar 

  9. Lu K, Fu S, Xia X G. Closed-form designs of complex orthogonal space-time block codes of rates (k+1)/(2k) for 2k-1 or 2k transmit antennas. IEEE Trans Inform Thoery, 2005, 51: 4340–4347

    Article  MathSciNet  Google Scholar 

  10. Su W, Batalama S N, Pados D A. On orthogonal space-time block codes and transceiver signal linearization. IEEE Commun Lett, 2006, 10: 91–93

    Article  Google Scholar 

  11. Adams S S, Karst N, Murugan M K, et al. On transceiver signal linearization and the decoding delay of maximum rate complex orthogonal space-time block codes. IEEE Trans Inform Theory, 2011, 57: 3618–3621

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. School of Computer Science, Fudan University, Shanghai, 200433, China

    Yuan Li, Chen Yuan & HaiBin Kan

Authors
  1. Yuan Li
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  2. Chen Yuan
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  3. HaiBin Kan
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Correspondence to HaiBin Kan.

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Li, Y., Yuan, C. & Kan, H. Explicit-form complex orthogonal design for space-time block codes. Sci. China Inf. Sci. 56, 1–10 (2013). https://doi.org/10.1007/s11432-012-4576-9

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  • DOI: https://doi.org/10.1007/s11432-012-4576-9

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