本篇論文提出在多輸入單輸出干擾通道下的強韌式波束形成設計。在考量隨機向量量化通道迴授的機制下，我們首先求出考量雜訊、量化誤差與通道大小影響的統計特性下之最小均方誤差的解析解。其後，根據此均方誤差的統計結果，我們提出以最小化所有使用者的均方誤差總和與最小化最差使用者均方誤差兩個設計方法，設計強韌式波束形成。由於兩個設計方法的最佳化問題皆不是凸函數，所以同時求出全域解是有困難的，因此我們提出一種疊代的方法，分別地利用最小均方誤差與二階錐規劃問題的式子推導，交替地求得波束形成與解碼器。根據窮舉搜尋法的模擬結果，使用疊代的方式求解最小化最差使用者均方誤差設計方法是可以得到全域解的。此外，模擬結果顯示最小化最差使用者均方誤差設計因考量公平性問題，相較於最小化所有使用者的均方誤差總和之設計會有較好的效能表現。模擬結果也證實兩個設計方法的確有達到針對量化誤差的強韌式設計。

This thesis proposes robust beamforming designs for a MISO interference channel (IC). Considering the random vector quantization (RVQ) feedback mechanism, we first derive the closed-form expressions for signals' mean-squared error (MSE) estimated at the transmitter. The MSE is conducted by averaging the influences of the noise, the quantization error, and the channel amplitude. With the MSE statistical result, we devised the robust beamforming with minimizing total minimum MSE (MMSE) and with minimizing the maximum per-user MSE criteria. Since the optimizations of both designs are not convex, we then propose tractable iterative methods to find solutions where the beamforming and the decoding scalars are alternatively computed with MMSE and second-order-cone programming (SOCP), respectively. Particularly, the proposed minimum per-user MSE design can reach the global solution verified by the computer simulation with the exhaustive search. The simulation results show the minimum of maximum per-user MSE design outperforms the minimum total MMSE design since the former considers the fairness issue. Also, the results verify the robustness of the quantization error for both systems.

論文審定書……………………………………………………………..………………..i
誌謝……………………………………………………………..……..………………...ii
中文摘要……………………….……………………………………..………………...iii
英文摘要………………………………………………………..…………...……….....iv
目錄……………………………………………………………..…………...………......v
圖次……………………………………………………………….……………...……..vi
表次……………………………………………..…………………………………..….vii
第1章 序言……………………………………………………………………………..1
第2章 系統模型……………………………………………………………………....10
第2.1節 多輸入單輸出干擾通道…………………………………...………..……10
第2.2節 考量隨機向量量化通道的均方誤差……………….......……...………...11
第3章 隨機向量量化通道迴授機制下的傳收機設計………………..…..…………14
第3.1節 最小化所有使用者的均方誤差總合………………………………….14
第3.2節 最小化最差使用者均方誤差………………………………………….16
第3.3節 最小化最差使用者均方誤差之全域解……………………………….20
第4章 系統模擬及探討………………………………………………………………23
第5章 結論與未來展望………………………………………………………………32
參考文獻……………………………………………………………………………….33
附錄A…………………………………………………………………………………..37
附錄B…………………………………………………………………………………..40

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