臺灣博碩士論文加值系統

本文提出一個以一維 (one dimensional: 1-D) 為基礎的樹狀結構演算法，來估測二維均勻天線陣列 (uniform rectangular array: URA) 所接收到訊號的二維進場角度 (direction of arrival: DOA) 。本演算法的關鍵，是企圖重複的利用1-D ESPRIT (estimation of signal parameter via rotational invariance techniques: ESPRIT) 演算法分別估測方位角與仰角以大幅降低傳統2D-ESPRIT演算法所承受之超高運算複雜度。此外，為解決本演算法因降階所衍生之方位角及仰角估測值配對問題。我們將試圖利用階層式子空間的投影技術把天線陣列所接收之訊號隔離並利用本演算法之樹狀架構達成估測值之自然配對。

To effectively reduce the super-complexity in 2D-ESPRIT(two dimensional Estimation of Signal Parameter via Rotational Invariance Techniques). This paper propose a one dimensional(1D) based “Tree structure algorithm” for estimating the 2D-DOAs of the signal impinging on a uniform rectangular array(URA). The key ideal of the proposed algorithm is to repeat utilized 1-D ESPRIT algorithm and subspace projector with regular rule. Thus, transmitted azimuths and elevations can be estimated and paired more easily.

指導教授推薦書
口試委員審定書
長庚大學碩士論文著作授權書 iii
致謝 iv
中文摘要 v
英文摘要 vi
目錄 vii
圖次 ix
表次 xi
第一章 緒論 1
1.1 研究動機 1
1.2 研究方法 2
1.3 論文架構 3
第二章 天線陣列之介紹 4
2.1 天線陣列 4
2.2 一維線性均勻天線陣列 5
2.3 矩形均勻天線陣列 13
第三章 進場角度之估測演算法 15
3.1 一維ESPRIT演算法 15
3.2 二維ESPRIT演算法 21
3.3 樹狀結構演算法 27
第四章 模擬結果 35
4.1 入射訊號之2D-DOAs在 平面成直角三角形 35
4.2 入射訊號之2D-DOAs在 平面為三不同路徑 41
4.3 入射訊號之2D-DOAs在 平面近似直角三角形 47
第五章 結論 51
參考文獻 52
著作列表 54

參考文獻
[1] Harry L. Van Trees, John Wiley & Sons, “Detection, Estimation, and Modulation Theory, Part IV, Optimum Array Processing” 2002.
[2] R. Roy., A. Paulraj. and T. Kailath., “ESPRIT -- A Subspace Rotation Approach to Estimation of Parameters of Cisoids in Noise,” IEEE Transactions on Acoustics. Speech Signal Processing, vol. 34, no. 5, pp. 1340-1342, Oct 1986.
[3] J.E. Fernandez del Rio. and M.F. Catedra-Perez., “The matrix pencil method for two-dimensional direction of arrival estimation employing an L-shaped array,” IEEE Transactions on Antennas and Propagation, vol. 45, no.11, pp. 1693-1694, Nov. 1997.
[4] M. D. Zoltowski., M. Haardt. and C.P. Mathews., “Closed-form 2D angle estimation with rectangular arrays in element space or beam space via Unitary ESPRIT,” IEEE Transactions on Signal Processing, vol. 44, pp. 316-328, Feb. 1996.
[5] M.C. Vanderveen., A.J. Van Der Veen. and A. Paulraj., “Estimation of multipath parameters in wireless communications,” IEEE Transactions on Signal Processing, vol. 46, no. 3, pp. 682-690, Mar. 1998.
[6] Yung-Yi Wang, “A Low Complexity Algorithm for Azimuth/Elevation Angle Estimation by using Alternate Subspace Projections,” IEICE Trans on Communications, Vol. E-90B, pp. 114-121, Jan. 2007.
[7] Yung-Yi Wang, Jiunn-Tsair Chen; Wen-Hsien Fang, 2001. (SPAWC '01) “Joint estimation of the DOA and delay based on the TST-ESPRIT in a wireless channel,” 2001 IEEE third workshop on signal processing advances in wireless communications, p.p. 302 -305.