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SCIENCE CHINA Information Sciences, Volume 59, Issue 8: 082303(2016) https://doi.org/10.1007/s11432-015-5473-9

On the criteria for designing complex orthogonal space-time block codes

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  • ReceivedJun 18, 2015
  • AcceptedAug 30, 2015
  • PublishedApr 6, 2016

Abstract

A complex orthogonal design (COD) used in space-time block codes is a kind of combinatorial design. It has been well studied because it has a fast maximum-likelihood decoding algorithm and achieves full diversity. When designing CODs, there are seven characteristics that should be considered, which include code rate, decoding delay, transceiver signal linearization, peak-to-average power ratio, etc. In this paper, we study the relationships among these design criteria. We prove that the maximum rate of generalized CODs (GCODs) that meet the last five criteria is $1/2$. Moreover, we present a new method to construct GCODs based on CODs. Using this method on balanced complex orthogonal designs (BCODs), we obtain a novel class of GCODs that performs almost perfectly with respect to all the seven properties.


Funded by

National Natural Science Foundation of China(61170208)

Shanghai Key Program of Basic Research(12JC1401400)

National Defense Basic Research Project(JCYJ-1408)

Shanghai Excellent Academic Leader Funds(16XD1400200)


Acknowledgment

Acknowledgments

This work was supported by National Natural Science Foundation of China (Grant No. 61170208), Shanghai Key Program of Basic Research (Grant No. 12JC1401400), National Defense Basic Research Project (Grant No. JCYJ-1408), and Shanghai Excellent Academic Leader Funds (Grant No. 16XD1400200).


References

[1] Alamouti S M. A simple transmit diversity technique for wireless communications. IEEE J Sel Areas Commun, 1998, 16: 1451-1458 CrossRef Google Scholar

[2] Tarokh V, Jafarkhani H, Calderbank A R. Space-time block codes from orthogonal designs. IEEE Trans Inf Theory, 1999, 45: 1456-1467 CrossRef Google Scholar

[3] Adams S S, Davis J, Karst N, et al. Novel classes of minimal delay and low PAPR rate $1/2$ complex orthogonal designs. IEEE Trans Inf Theory, 2011, 57: 2254-2262 CrossRef Google Scholar

[4] Su W F, Batalama S N, Pados D A. On orthogonal space-time block codes and transceiver signal linearization. IEEE Commun Lett, 2006, 10: 91-93 CrossRef Google Scholar

[5] Yuen C, Guan Y L, Tjhung T T. Power-balanced orthogonal space-time block code. IEEE Trans Veh Techno, 2008, 57: 3304-3309 CrossRef Google Scholar

[6] Yuen C, Guan Y L, Tjhung T T. Orthogonal space-time block code from amicable complex orthogonal design. In: Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'04), Montreal, 2004. 469--472. Google Scholar

[7] Das S, Rajan B S. Square complex orthogonal designs with low PAPR and signaling complexity. IEEE Trans Wirel Commun, 2009, 8: 204-213 CrossRef Google Scholar

[8] Liang X B. Orthogonal designs with maximal rates. IEEE Trans Inf Theory, 2003, 49: 2468-2503 CrossRef Google Scholar

[9] Lu K J, Fu S L, 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 Inf Theory, 2005, 51: 4340-4347 CrossRef Google Scholar

[10] Adams S S, Karst N, Pollack J. The minimum decoding delay of maximum rate complex orthogonal space-time block codes. IEEE Trans Inf Theory, 2007, 53: 2677-2684 CrossRef Google Scholar

[11] Adams S S, Karst N, Murugan M K. The final case of the decoding delay problem for maximum rate complex orthogonal designs. IEEE Trans Inf Theory, 2010, 56: 103-112 CrossRef Google Scholar

[12] Li Y, Kan H B. Complex orthogonal designs with forbidden $2 \times 2$ submatrices. IEEE Trans Inf Theory, 2012, 58: 4825-4836 CrossRef Google Scholar

[13] Das S, Rajan B S. Low-delay, high-rate nonsquare complex orthogonal designs. IEEE Trans Inf Theory, 2012, 58: 2633-2647 CrossRef Google Scholar

[14] Liu X D, Li Y, Kan H B. On the minimum decoding delay of balanced complex orthogonal designs. IEEE Trans Inf Theory, 2015, 61: 696-699 CrossRef Google Scholar

[15] Wang H Q, Xia X G. Upper bounds of rates of complex orthogonal space-time block codes. IEEE Trans Inf Theory, 2003, 49: 2788-2796 CrossRef Google Scholar

[16] Su W F, Xia X G, Liu K J R. A systematic design of high-rate complex orthogonal space-time block codes. IEEE Commun Lett, 2004, 8: 380-382 CrossRef Google Scholar

[17] 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 Inf Theory, 2011, 57: 3618-3621 CrossRef Google Scholar

[18] Su W F, Xia X G. On space-time block codes from complex orthogonal designs. Wirel Personal Commun, 2003, 25: 1-26 CrossRef Google Scholar

[19] Li Y, Kan H B, Yuan C, et al. The maximal rates and minimal decoding delay of more general complex orthogonal designs. Sci China Inf Sci, 2010, 53: 1826-1832 CrossRef Google Scholar

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