SVD技術應用於相關性通道下 具中繼與天線選擇之AF-MIMO多中繼系統 預編碼器設計

SVD-Based Precoding Design for AF-MIMO Multiple-Relay Systems with Antenna Selection in Correlated Channels

蘇浩璿(Hao-Hsuan Su)

指導教授 ： 胡家彰

國立中正大學/工學院/通訊工程學系/碩士(2014年)

摘要

本文考慮在相關性通道情況下放大轉發 (amplify-and-forward, AF) 多重輸入多重輸出(multiple-input multiple-output, MIMO)多中繼(multiple relays)雙向(two-way)合作式通訊(cooperative communication)系統之聯合預編碼器設計，並加入中繼節點之中繼選擇(relay selection)與天線選擇(antenna selection)機制於系統中。將選擇結果構成之天線組合與中繼端預編碼矩陣(precoder)設計制定成一最佳化問題。選擇方式採用最大奇異值總合，使用奇異值分解(singular value decomposition, SVD)架構制定預編碼之設計並引用均方誤差(minimum mean-square error, MSE)為準則處理中繼預編碼矩陣之最佳化。由於此最佳化問題並非線性單凹或單凸，故本論文採用疊代計算的方式以求得最佳化中繼與來源端預編碼設計。最後在電腦模擬結果中驗證，考慮中繼與天線選擇並採用基於SVD架構聯合預編碼器設計之合作式通訊系統，比起沒有考慮的設計可大幅減少中繼天線的使用數仍具備優異的表現。

關鍵字

奇異值分解 ； 天線選 ； 中繼選擇 ； 多輸入多輸出 ； 雙向 ； 相關性通道 ； 放大轉發式 ； 最小均方誤差 ； 多中繼節點 ； 預編碼器

並列摘要

In the thesis, joint optimization of relays and source precoders for both terminals is proposed for a two-way amplify-and-forward (AF) multiple-input multiple-output (MIMO) multiple-relay system with correlated channels in both hops. By applying the singular value decomposition (SVD) based relay-and-antenna selection scheme, the SVD-based optimization technique is developed for the joint design of both terminal transceivers and relaying precoders based on the minimum mean square error (MMSE) criterion. This optimization problem of sources and relaying precoders under power constraints belongs to non-convex so that an iterative algorithm is applied to explore the optimal solutions. Simulation results show that the SVD-based joint design of relay and source precoders in conjunction with the SVD-based relay-and-antenna selection scheme is capable of achieving superior bit-error-rate (BER) and MSE performance with an alleviated demand on relays and relay antennas.

並列關鍵字

precoding design ； MMSE ； cooperative system ； MIMO ； amplify-and-forward ； relay-and-antenna selection ； singular value decomposition ； two-way

參考文獻

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