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
Alamouti S. A simple transmit diversity technique for wireless communications. IEEE J Sel Area Comm, 1998, 16: 1451–1458
Tarokh V, Jafarkhani H, Calderbank A R. Space-time block codes from orthogonal designs. IEEE Trans Inform Theory, 1999, 45: 1456–1467
Wang H, Xia X G. Upper bounds of rates of complex orthogonal space-time block codes. IEEE Trans Inform Theory, 2003, 49: 2788–2796
Liang X B. Orthogonal designs with maximal rates. IEEE Trans Inform Theory, 2003, 49: 2468–2503
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
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
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
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
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
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
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
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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