適用於盲目的調適性波束形成器之低複雜度對稱限制最大事後機率演算法

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姓名

陳俊諺(Jiunn-Yann Chen) 查詢紙本館藏

畢業系所

通訊工程學系

論文名稱

適用於盲目的調適性波束形成器之低複雜度對稱限制最大事後機率演算法
(Low-Complexity Symmetry-Constrained Maximum-A-Posteriori Probability Algorithm for Adaptive Blind Beamforming)

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摘要(中)

在本篇論文中，我們提出了一個適用於並行調適性濾波器的實數對稱限制最大事後機率演算法(CMA+RSC-MAP)，首先將先介紹如何去推導出這個在盲目演算法中最大事後機率演算法具有的共軛對稱限制的最佳權重解，接下來我們利用這個共軛對稱限制的最佳權重解去導出這篇論文所提出的演算法，並且利用調適的方式讓權重能夠趨近於這個最佳權重解。最後在模擬的結果中，我們也會呈現出CMA+RSC-MAP演算法確實擁有比目前新型的並行調適性濾波器還要更好的效能。與原本的CMA+SC-MAP演算法相比，CMA+RSC-MAP演算法確實擁有跟CMA+SC-MAP演算法一樣好的效能，並且擁有更低的運算複雜度。

摘要(英)

In this paper, we propose a real-valued SC-MAP (RSC-MAP) algorithm for concurrent adaptive filter (CAF) applied to beamforming. We first contribute to deriving a closed-form optimal weight expression for blind MAP algorithm. A conjugate symmetric property associated with optimal blind MAP weights is further acquired. Then, we use the conjugate symmetric constraint to guide the proposed RSC-MAP algorithms to follow the optimal blind MAP expression form during adapting procedure. In the simulations, we show that the proposed RSC-MAP algorithms have better performance than the classic ones. Compared with SC-MAP, the RSC-MAP with less computational complexity has the same bit-error rate performance.

關鍵字(中)

★ 最大事後機率
★ 恆模數演算法
★ 波束形成企
★ 濾波器

關鍵字(英)

★ Maximum-a-posteriori probability estimation
★ constant modulus algorithm
★ beamforming
★ filtering

論文目次

摘要 i
Abstract ii
目錄 iv
圖目錄 vi
表目錄 viii
第一章緒論 (Introduction) 1
第二章智慧型天線 (Smart Antenna) 3
2-1等距線性天線陣列通道模型(ULA) 5
2-2 盲目演算法與並行調適性濾波器用於波束形成器(Blind Concurrent Adaptive Filter for beamformer) 7
2-2.1 星座點演算法 (Reduced Constellation Algorithm) 10
2-2.3 恆模數演算法 (Constant Modulus Algorithm) 11
2-2.2 多模數演算法 (Multi-Modulus Algorithm) 13
2-2.4 恆模數與硬式決策演算法 (Constant Modulus Algorithm and Decision Directed Algorithm) 15
2-2.5 恆模數與最大事後機率演算法 (Constant Modulus Algorithm and Maximum-A-Posterior Probability Algorithm) 17
第三章對稱限制最大事後機率演算法 (Symmetric-Constraint MAP Probability Algorithms) 21
3-1 盲目最大事後機率演算法最佳權重 (Optimum Weight Expression of Blind MAP Algorithm) 22
3-2 對稱限制最大事後機率演算法(Symmetric-Constraint MAP Algorithm) 26
3-3 實數對稱限制最大事後機率演算法(Real-Valued Symmetric-Constraint MAP Algorithm) 29
第四章模擬結果 (Simulation results) 36
4-1 系統模擬架構(Simulation System) 36
4-2 非動態環境(Non-Dynamic Environment) 37
收斂速度比較(Convergence-Rate Comparison) 37
4-3 動態環境(Dynamic Environment) 44
收斂速度比較(Convergence-Rate Comparison) 44
4-3 複雜度分析(Complexity Analyses) 50
結論 (Conclusion) 52
參考文獻 (Reference) 53

參考文獻

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指導教授

賀嘉律(Chia-Lu Ho)

審核日期

2013-7-2

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