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研究生:劉維瀚
研究生(外文):Wei Han Liu
論文名稱:具多重限制之最小平方法空間濾波器設計
論文名稱(外文):Multiple Constraint LMS Beamformer
指導教授:胡竹生胡竹生引用關係
指導教授(外文):Jwu-Sheng Hu
學位類別:碩士
校院名稱:國立交通大學
系所名稱:電機與控制工程系
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:61
中文關鍵詞:空間濾波器波束形成器多重限制
外文關鍵詞:BeamformerMultiple Constraint
相關次數:
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本論文提出一種Multiple Constraint Adaptive Frost Beamformer演算法,本演算法乃是藉由整合傳統Frost Beamformer演算法以及Fractional Delay Filter設計技術而形成之新型空間濾波器。本篇論文可分為三大部分,第一部分略述基本之陣列訊號處理特性以及相關之發展。第二部分則介紹如何利用Adaptive Frost Beamformer以及Fractional Delay Filter相關技術設計出本篇論文所提出之Multiple Constraint Adaptive Frost Beamformer演算法。而第三部分則為結果分析,首先針對本演算法之相關限制加以探討,接著利用模擬結果說明此演算法之效能,並與傳統Adaptive Frost Beamformer作比較。本演算法之優點為能夠防止Coherent Source對Frost Beamformer所造成之Source Signal Cancellation效應。除此之外,此演算法亦可應用於Multiple Beam、Multiple Null之設計,使得Adaptive Frost Beamformer之相關應用能夠更有彈性。

In this thesis, a multiple constraint LMS beamformer algorithm is proposed for wideband beam steering. The algorithm combines the traditional Frost beamformer algorithm and optimal fractional delay filter design technique so that multiple beams or nulls can be formed in arbitrarily assigned directions. Because of the null constraint, the proposed algorithm can avoid the desired signal cancellation effect caused by coherent sources in the Frost beamformer algorithm. This thesis is divided into three parts. In the first part, a brief introduction to array signal processing is presented. In the second part, the proposed algorithm is analyzed and the limitation is discussed. Simulations are conducted and the performance is compared with Frost beamformer in the third part. It is shown that the spatial filtering result is much better than Frost Beamformer when coherent sources appear in received signals.

中文摘要……………………………………………………………………………….i
英文摘要…………………………………………………………………………...….ii
致謝…………………………………………………………………………………...iii
目錄…………………………………………………………………………………...iv
圖例………………………………………...…………………………………………vi
第一章 緒論…………………………………………………………………………1
1.1 研究動機與目………………………………………………………………1
1.1.1陣列訊號處理簡介…………………………………………….……..1
1.1.2陣列訊號處理簡史……………………………………………….…..2
1.2 研究目標……………………………………………………………………3
1.3 論文架構與研究重點………………………………………………………4
第二章 陣列型態……………………………………………………………………6
2.1 陣列型態及其空間響應…………………………………………………...6
2.1.1 Uniform Linear Array(ULA)………………………………………6
2.1.2 Planar Array(PA)…………………………………………………..8
2.1.3 Circular Array……………………………………………………..…..9
2.2 影響陣列空間響應之相關特性…………………………………………..11
2.2.1 Grating Lobe Problem……………………………………………….11
2.2.2 Beamwidth and Beam Broadening Effect…………………………...12
第三章 相關理論背景……………………………………………………………..15
3.1 FROST BEAMFORMER………………………………………………….16
3.2 ADAPTIVE FROST BEAMFORMER……………………………………18
3.3 OPTIMAL FRACTIONAL(FD)DELAY FIR FILTER DESIGN………26
第四章 MULTIPLE CONSTRAINT LMS BEAMFORMER……………………..32
4.1 設計原理與觀念…………………………………………………………..32
4.2 FRACTIONAL DELAY FIR FILTER與FROST BEAMFORMER之結合………….37
4.3 相關限制討論……………………………………………………………..39
4.4 整數取樣DELAY時所發生的問題與討論 ……………………………..41
第五章 結果模擬與分析…………………………………………………………..47
5.1 輸入雜訊為COHERENT SOURCE之模擬……………………………...47
5.2 其他輸入訊號模擬………………………………………………………..52
第六章 結論與未來發展…………………………………………………………..58
Reference……………………………………………………………………………..60

[1] A. V. Oppenheim¸ R. W. Schafer¸ Discrete-Time Signal Processing¸ Prentice Hall, 1989.
[2] D. Johnson and D. Dudgeon, Array Signal Processing: Concepts and Techniques, Prentice Hall, Englewood Cliffs, New Jersey, 1993.
[3] B. D. Van Veen and K. M. Buckley, “Beamforming: A Versatile Approach to Spatial Filtering,” IEEE ASSP Magazine, pp4-24, April 1988.
[4] J. L. Flanagan¸ L. Landgraf¸ D. J. McLean¸ ”Matched-filter processing of hydrophone array”¸J. Acousr. Soc. Am. 42,1165(A)(1967).
[5] M. P. Lotter and P. Van Rooyen, ”An overview of space division multiple access techniques in cellular systems”, Communications and Signal Processing, 1998. p.161-164
[6] O. L. Frost, “An Algorithm for Linear Constrained Adaptive Array Processing,” Proc. IEEE, vol.60, no.8, pp.926-935, Aug. 1972.
[7] L. Griffiths and C. W. Jim, “An Alternative Approach to Linear Constrained Adaptive Beamforming,” IEEE Trans. Antenna Propagation, vol.30, no.1, pp.27-34, Jan. 1982.
[8] T. S. Lee¸ Array Signal Processing, (class note)
[9] L. C. Godara, “Application of Antenna Arrays to Mobile Communications, Part II: Beam-Forming and Direction-of-Arrival Considerations”, Processings of the IEEE, vol. 85, no. 8, Aug 1997.
[10] B. K. Chang and N. Ahmed, “Adaptive broadband beamforming an integral nulling approach”, International Conference, 1989
[11] Steinberg, D. Bernard, 1976, “Principles of aperture and array system design : including random and adaptive arrays”, Wiley, New York
[12] S. M. Kuo and D. R. Morgan, Active Noise Control Systems─Algorithms and DSP Implementations. New York: Wiley, 1996.
[13] S. H. Yu and J. S. Hu, “Optimal Synthesis of a Fractional Delay FIR Filter in a Reproducing Kernel Hilbert Space”, IEEE Signal Processing Letters, vol. 8, no. 6, Jun 2001.
[14] 黃佑霖¸”應用延遲濾波器 之麥克風陣列訊號處理”¸交大電控碩士論文¸May 1999.
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