超級正交空時籬柵碼(super-orthogonal space-time trellis codes, SOSTTCs)[10]是一個需要經由人為事先設計好籬柵碼的架構，可確實提升空時籬柵碼(space-time trellis codes,STTCs)的效能。在2007年，一種藉由生成矩陣(generator matrix)來表示超級正交空時籬柵碼的方法被提出，其允許有系統的搜尋所有可能的碼。在這個架構中，星座圖的轉置角度在電腦搜尋前就已經被決定。然而，此將無法肯定轉置角度是理想的。在這篇論文中，我們提出三種不同的生成矩陣去表示超級正交空時籬柵碼，在這些提出的架構，星座圖的轉置角度將利用電腦搜尋去決定。經由我們的架構所找到的碼將可勝過以往已知的碼

Super-orthogonal space-time trellis codes (SOSTTCs) designed by hand can improve the performance of space-time trellis codes. In 2007, a representation of SOSTTCs based on a generator matrix was proposed which allows systematic searches of possible codes. In this scheme, the rotation of the constellation is determined before computer searches. However, the optimality of the rotation cannot be guaranteed. In this thesis, we propose three different representations of SOSTTCs which are also based on a generator matrix. In the proposed schemes, the rotation of the constellation is determined by computer searches. New codes of our schemes that outperform previously known codes are found.

【1】 V. Tarokh, N. Seshadri, and A. R. Calderbank, “Space-time codes for
high data rate wireless communication: Performance analysis and code
construction,” IEEE Trans. Inf. Theory, vol. 44, pp. 744-765, Mar. 1998.
【2】 G. Ungerboeck, “Channel coding for multilevel/phase signals,” IEEE
Trans. Inf. Theory, vol. 28, pp. 55-67, Jan. 1982.
【4】 S. M. Alamouti, “A simple transmitter diversity scheme for wireless
communications,” IEEE Journal Select. Areas Commun., vol. 16, pp.
1451-1458, Oct. 1999.
【4】 V. Tarokh, H. Jafarkhani and A. R. Calderbank, “Space-time block codes
from orthogonal designs,” IEEE Trans. Inform. Theory, vol. 45, pp.
1456-1467, July 1999.
【5】 Z. Chen, B. Vucetic, J. Yuan and K. Lo, “Space-time trellis coded
modulation with three and four transmit antennas on slow fading
channels,” IEEE Commun. Letters, vol. 6, no. 2, pp. 67-69, Feb. 2002.
【6】 Y. Gong and K. B. Letaief, “Concatenated space-time block coding with
trellis-coded modulation in fading channels,” IEEE Trans. Wireless
Commun., vol. 1, pp. 580-590, Oct. 2002.
【7】 G. Ungerboeck, “Channel coding with multilevel/phase signals,” IEEE
Trans. Inform. Theory, vol. IT-28, pp. 55-66, Jan. 1982.
【8】 S. M. Alamouti, V. Tarokh and P. Poon, “Trellis coded modulation and
transmit diversity: Design criterion and performance evaluation,” in Proc.IEEE ICUPC’98, Oct. 1998, pp. 703-707.
【9】 H. Jafarkhani and N. Seshadri, “Super-orthogonal space-time trellis
codes,” IEEE Trans. Inform. Theory, vol. 49, no. 4, Apr. 2003.
【10】 Michael Bale, Brady Laska, Dustin Dunwell, Francois Chan, and Hamid Jafarkhani, “Computer Design of Super-Orthogonal Space-Time Trellis Codes,” IEEE Trans. Wirel. Commum.,vol. 6, pp. 463-467, Feb. 2007.
【11】 S. Siwamogsatham and M. P. Fitz, “Improved high-rate space-time
codes via orthogonality and set partitioning,” in Proc. IEEE Wireless
Communications and Networking Conf. (WCNC) 2002.
【12】 S. Siwamogsatham and M. P. Fitz, “Improved high-rate space-time codes via concatenation of expanded orthogonal block code and M-TCM,” in Proc. IEEE Int. Conf. Commun. (ICC) 2002, vol. 1, pp. 636-640.
【13】 D. M. Ionescu, “On space-time code design,” IEEE Trans. Wireless
Commun., vol. 2, pp. 20-28, Jan. 2003.