在傳統的MIMO系統中,於中繼節點、傳送端和接收端設置多根天線可幫助實現空間分集(spatial diversity),並藉由傳送端的預編碼(precoder)技術調整傳送訊號藉以提高訊號品質。因此本論文考慮利用放大轉發式(amplify-and-forward, AF) MIMO單中繼(single relay)節點通訊系統之聯合收發機設計。亦即同時統合中繼節點加權(weighting)矩陣以及目的節點解碼器(decoder)之設計將其制定成一有限制條件下之最佳化的問題。本文係以最小均方誤差(minimum mean-square error, MMSE)準則並合併使用K.K.T (Karesh-Kuhn-Tucker)最佳化條件以求得目的端解碼矩陣和中繼節點加權矩陣。另外,本文將通道相關性考慮於設計問題之中發展出雙向聯合收發機設計。最後,電腦模擬結果方面驗證了將相關性通道狀態納入考量後,將本論文的演算法與其它論文加入相關性通道做比較,發現我們的效能比較優異。
In the thesis, the relay-precoder and the equalizer combined optimization is proposed in a two-way amplify-and-forward (AF) multiple-input multiple-output (MIMO) single-relay system with Gaussian random and correlated channel in both hops. With the aid of taking the correlated channel into account, a transceiver joint optimization design is developed based on the minimum mean-squared error (MMSE) criterion under power constraint at the relay. This optimization belongs to non-convex so that an iterative precoding design is applied to explore local optimal solutions. Simulation results demonstrate a better performance of the proposed iterative precoding design compared with other transceiver design with correlated channels.