抗隨機指向向量誤差之強健式限制最佳化束波形成器設計

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姓名

林智勝(Chih-sheng Lin) 查詢紙本館藏

畢業系所

通訊工程學系

論文名稱

抗隨機指向向量誤差之強健式限制最佳化束波形成器設計
(Robust Constrained Optimization Based Beamformer Design Against Random Steering Vector Error)

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摘要(中)

本文針對隨機指向向量誤差對可適性束波形成技術造成負面影響的現象，利用接收到的訊號源資料且根據限制最佳化方式，提出可抑制干擾且保留想要訊號的強健式束波形成器，並且藉由廣義旁瓣消除器GSC (Generalized-Sidelobe Canceller)將限制最佳化問題轉換為等效的無限制最佳化問題。透過矩陣擾動分析 (Matrix Perturbation Analysis)技術可獲得可適性權重向量的近似封閉解，而封閉解有利我們對系統做效能分析。從推導出的理論SINR (Signal to Interference-plus-Noise Ratio)近似封閉表示式可看出，當系統遭受隨機指向向量誤差影響的情況之下，本篇論文所提的方法相較於無強健束波形成器在SINR方面有顯著的改善。最後，模擬結果將會證明強健式GSC束波形成技術在效能上的改善並且證實理論SINR之準確性。

摘要(英)

We consider adaptive array beamforming, in the scenario that the steering vector error caused by random phase error. By exploiting the received source data, we propose a constrained-optimization based beamformer which can suppress interference and preserve desired signal. The optimization problem is formulated in an equivalent unconstrained generalize-sidelobe canceller (GSC) structure. The approximated closed-form solution of adaptive weight can be obtained through matrix perturbation analysis, this allows us to facilitate an associated performance analysis. A closed-form approximate SINR for the proposed robust GSC beamformer is given, and the achievable SINR improvement over non-robust counterpart is specified. Finally, simulation results confirm the effectiveness of the proposed method and corroborate the predicted SINR results.

關鍵字(中)

★ 廣義旁瓣消除器
★ 干擾抑制
★ 限制最佳化問題
★ 擾動分析
★ 束波形成

關鍵字(英)

★ Generalized-Sidelobe Canceller
★ Constrained Optimization
★ Perturbation Analysis
★ Beamforming
★ Interference Suppression

論文目次

摘要 i
Abstract ii
誌謝 iii
目錄 iv
圖目錄 vi
第一章緒論 1
1-1 研究動機與貢獻 1
1-2 論文架構 3
第二章天線陣列之訊號處理基本概念 4
2-1 訊號模型 4
2-2 可適性束波形成技術 6
2-2-1 MVDR束波形成技術 7
2-2-2 LCMV束波形成技術 9
2-3 訊號相消現象 11
2-4 指向錯誤之影響 13
第三章廣義旁瓣消除器束波形成技術 16
3-1 基本概念 16
3-2 數學模型 17
第四章強建式限制最佳化束波形成器之設計 23
4-1環境初始定義 23
4-2 強健式GSC束波形成器 24
4-2-1擾動指向向量之定義 24
4-2-2 強健式GSC束波形成技術之數學模型 25
4-2-3 討論與分析 29
第五章效能分析 32
5-1 輸出SINR之分析 32
5-2 輸出SINR之改善 35
5-3 討論與分析 37
5-4 複雜度比較 38
第六章模擬結果分析 40
6-1 隨機相位誤差為白雜訊 40
6-1-1 束波場型模擬結果 40
6-1-2 輸出SINR模擬結果 51
6-2 隨機相位誤差為非白雜訊 55
6-2-1 束波場型模擬結果 55
6-2-2 輸出SINR模擬結果 66
6-3 理論SINR公式之驗證 70
第七章結論 72
參考文獻 73
附錄一 75
附錄二 76
附錄三 79
附錄四 81
附錄五 84
附錄六 86

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指導教授

蔡木金(Mu-king Tsay)

審核日期

2008-7-8

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