臺灣博碩士論文加值系統

在本篇論文，我們設計在多輸出多輸入以及考量隨機向量量化下的強韌式湯利森哈馬遜前置預編碼，一般而言，傳接收器由於傳送端只知道量化後的通道方向資訊，使得湯利森哈馬遜前置預編碼在傳送端有著在接收端量化誤差造成不可以避免的干擾。我們首先提出一個以最小均方誤差準則下的強韌式湯利森哈馬遜前置預編碼，其中最小均方誤差推導中包含雜訊、量化誤差及通道大小的統計特性。在此篇論文，我們提出的串聯預編碼器架構不僅增加效能也將其加入設計。接下來我們把相同的預編碼設計延展到廣播系統，在此系統我們彈性的分配每個使用者碼書的回傳量使得通道容量總和是最大值。因為設計問題不是凸函式，無法直接找出最佳的分配策略。然而藉由離散蓋理論，我們可以推導出在高訊雜比與低訊雜比下最佳碼書大小分配的策略。而在訊雜比的中間區域，最佳的回傳量可由數值法獲得。模擬結果驗證了我們的強韌式設計及提出的碼書大小設計。

In this thesis, we design the robust Tomlinson-Harashima precoder (THP) with random vector quantization (RVQ) in multiple-input multiple-output (MIMO). Since only the channel direction information (CDI) is quantized and fed back to the transmitter, applying the THP at the transmitter will cause unavoidable interference at the destination due to the quantization error. We first propose a robust THP with the minimum mean-squared (MMSE) criterion, where the MMSE is derived with respect to the noise, the quantization error, and the channel amplitude statistics. Particularly, we herein propose a cascaded precoder structure to not only enhance the performance but also obtain a closed-form design. We then extended the same precoder design to broadcasting (BC) systems, where we flexibly allocate the feedback rate of each user’s codebook so that the overall channel capacity is maximized. Since the design problem is not convex, directly finding out the optimum feedback rate is not attainable. However, by sophisticatedly using the discrete Majorization theory, we can derive the optimum codebook size allocation strategies for the high and low signal-to-noise ratio (SNR) regions. For the medium SNR region, the optimum feedback rate can be obtained numerically. Simulations verify our robust design and the proposed codebook size design.

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
第1章 序言……………………………………………………………………………..1
第2章 系統模型……………………………………………………………………....10
第2.1節 湯利森哈馬遜前置預編碼…………………………….………………....10
第2.2節 隨機向量量化通道模型…………………………….......……...………...11
第2.3節 湯利森哈馬遜前置預編碼在隨機向量量化通道下的均方誤差…….....12
第3章 在最小均方誤差準則下的傳收機設計………………………..…..…………15
第3.1節 最小均方誤差準則的最佳化議題……………………………………….15
第3.2節 最佳化預編碼器設計…………………………………………………….17
第4章 隨機向量量化中碼書大小分配……………..…………………..…..…………19
第4.1節 湯利森哈馬遜前置預編碼在隨機向量量化通道下的通道容量…..…...19
第4.2節 最大化各通道容量的總和……………………………………………….21
第5章 系統模擬及探討………………………………………………………………25
第6章 結論與未來展望………………………………………………………………31
附錄A…………………………………………………………………………………..32
附錄B…………………………………………………………………………………..35
參考文獻……………………………………………………………………………….38

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