在這篇論文中，我們探討在多輸入多輸出(Multi-input Multi-output)的雙向振幅轉發合作式系統(Two-Way Amplify-and-Forward Cooperation)，達成在中繼端上全雙工技術(Full-Duplex)的預編碼設計，好讓頻譜使用效率提升，透過這篇論文提出的設計方法，希望延伸全雙工技術在合作式系統中單向傳輸的設計，進一步提高傳輸速率，在論文中，我們利用了兩端天線到中繼端接收天線間的通道資訊，設計了兩端傳送訊號的預編碼矩陣；接下來，為了消除系統中繼端自身干擾，所以在中繼端之預編碼須滿足迫零的條件，及中繼端之傳送功率限制式使得總傳輸率最大化。最後我們將系統最佳化問題列式為凸優化問題，所以我們使用拉格朗日乘法，尋求最佳解。此外，我們發現最佳解存在於可行解集合的邊界，最佳解可以從滿足功率限制等式的邊界上求得。最後利用電腦模擬，我們可以藉由提高資料串流的數目，或是增加系統總天線數，來提升此雙向合作式系統的總傳輸率。

In this thesis, we consider two-way multi-input-multi-output(MIMO) cooperative systems with amplify-and-forward relaying protocol. We aim to implement full-duplex transceiver in such systems by designing precoding matrices at node A, node B, and relay node in order to improve the spectrum efficiency. Compared with the existing work that implements full-duplex transceiver in one-way (MIMO) cooperative systems, we would like to extend the precoding design and the optimization problem to two-way relay systems. By exploiting the channel information, we design precoding matrices which support transmission of multiple data streams. Specifically, the precoding design aims to maximize sum-rate by suppressing self-interference under a zero-forcing criterion and transmission power constraint. The optimization problem is concave, and the optimal solution lies at the boundary of the feasible set. Moreover, the optimal solution can be found numerically through the Lagrange multipliers that satisfy the power constraint. Finally, through computer simulation, the spectrum efficiency of the proposed scheme can be improved by increasing the number of data streams or the number of antennas at both nodes A and B.

目錄
論文審定書........................................................................................................................i
誌謝.................................................................................................................................. ii
中文摘要......................................................................................................................... iii
Abstract.............................................................................................................................iv
目錄 ...................................................................................................................................v
圖次..................................................................................................................................vi
第一章介紹............................................................................................................1
第二章 文獻探討....................................................................................................5
第三章 系統模型..................................................................................................13
第四章 最佳化設計.............................................................................................17
第五章 模擬結果..................................................................................................29
第六章 結論..........................................................................................................40
參考文獻 .........................................................................................................................41

[1] 陳俊仰. (2017). 在全雙工多天線中繼系統之高頻譜效率預編碼設計. 中山大學通訊工程研究所學位論文.
[2] X. Xia, K. Xu, D. Zhang, Y. Xu, "Low-complexity transceiver design and antenna subset selection for cooperative half- and full-duplex relaying systems", Proc. IEEE Globecom, pp. 3314-3319, Dec. 2014.
[3] G. Zheng, "Joint beamforming optimization and power control for fullduplex MIMO two-way relay channel", IEEE Trans. Signal Process., vol. 63, no. 3, pp. 555-566, Feb. 2015.
[4] H. A. Suraweera, I. Krikidis, G. Zheng, C. Yuen, P. J. Smith, "Lowcomplexity end-to-end performance optimization in MIMO full-duplex relay systems", IEEE Trans. Wireless Commun., vol. 13, no. 2, pp. 913-927, Jan. 2014.
[5] L. J. Rodríguez, N. H. Tran, T. Le-Ngoc, "Performance of fullduplex AF relaying in the presence of residual self-interference", IEEE J. Sel. Areas Commun., vol. 32, no. 9, pp. 1752-1764, Sep. 2014.
[6] H. Q. Ngo, H. A. Suraweera, M. Matthaiou, E. G. Larsson, "Multipair full-duplex relaying with massive arrays and linear processing", IEEE J. Sel. Areas Commun., vol. 32, no. 9, pp. 1721-1737, Sep. 2014.
[7] S. Goyal, P. Liu, S. Hua, S. S. Panwar, "Analyzing a full-duplex cellular system", Proc. 47th Annu. Conf. Inf. Sci. Syst. (CISS’13), pp. 1-6, Mar. 2013.
[8] M. Vehkapera, M. Girnyk, T. Riihonen, R. Wichman, L. Rasmussen, "On achievable rate regions at large-system limit in full-duplex wireless local access", Proc. 1st Int. Black Sea Conf. Commun. Netw. (BlackSeaCom’13), pp. 7-11, Jul. 2013.
[9] K. Sundaresan, M. Khojastepour, E. Chai, S. Rangarajan, "Full-duplex without strings: Enabling full-duplex with half-duplex clients", Proc. 20th Int. Conf. Mobile Comput. Netw. (MobiCom’14), pp. 55-66, Sep. 2014.
[10] B. Yin, M. Wu, C. Studer, J. R. Cavallaro, J. Lilleberg, "Full-duplex in large-scale wireless systems", Proc. Asilomar Conf. Signals Syst. Comput. (ASILOMAR’13), pp. 1623-1627, Nov. 2013.
[11] A. Sahai, S. Diggavi, A. Sabharwal, "On uplink/downlink fullduplex networks", Proc. Asilomar Conf. Signals Syst. Comput. (ASILOMAR’13), pp. 14–18, Nov. 2013.
[12] D. Nguyen, L.-N. Tran, P. Pirinen, M. Latva-aho, "Precoding for full duplex multiuser MIMO systems: Spectral and energy efficiency maximization", IEEE Trans. Signal Process., vol. 61, no. 16, pp. 4038–4050, Aug. 2013.
[13] Z. Tong, M. Haenggi, "Throughput analysis for full-duplex wireless networks with imperfect self-interference cancellation", IEEE Trans. Commun., 2015.