么正轉換子空間旋轉法做信號參數估測

Unitary Transform Subspace Rotation Approach to Signal Parameter Estimation

高煜能(Yu-Neng Kao)

指導教授 ： 張豫虎

中原大學/工學院/電子工程研究所/碩士(2007年)

https://doi.org/10.6840/cycu200700130

摘要

在陣列天線信號處理領域中的信號入射方向估測，多利用均勻線性陣列處理，以高解析特徵性質結構的方法來求解[2] [3] [4] [9] [10] [11] [12]，而這篇論文中我們提出的方法是藉由中心厄米特矩陣（centro-Hermitian matrix）結構[1]的方法，使複數的資料矩陣轉化成實數的矩陣再利用特徵性質結構的特性來進行入射方向以及信號向量的估測，且比Unitary ESPRIT的運算量來的低，又因為合併資料的前向和後向平均，所以效能又比轉換子空間旋轉法[2]，ESPRIT[3]來的更準確。而這個方法不只可以應用在ㄧ維空間上的方向估測，也可以推廣到二維空間的估測上[7]。此外，更可以套用空間平滑技術[6]到ㄧ維空間和二維空間的么正轉換子空間旋轉法上來解決同調信號相關矩陣秩不足的問題。

關鍵字

轉換子空間旋轉法 ； 方向估測 ； 陣列

並列摘要

Unitary Transform Subspace Rotation method is a high resolution and computation efficiency array signal processing. By using the centro-Hermitian matrix technique[1], TSR[2] can be performed in terms of real-valued processed. It can be applicable to many problems such as steering vector and its corresponding signal estimation. Unitary TSR contains forward-backward data averaged, that is the reason leading to an improved performance compared to ESPRIT and TSR. In this parper , Unitary TSR can be successfully applied in one and two-dimensional[7]. Besides, Spatial-smoothing Unitary TSR method is applied in the coherent signal’s direction-of-arrival’s (DOA) estimation.

並列關鍵字

Array Process ； DOA ； ESPRIT ； TSR

參考文獻

[2] Yuh-Huu Chang , Shih-Hao Tung and Pel-Wen Hung “Transform Subspace Rotation Approach to Signal Parameter Estimation” CHUNG YUAN JOURNAL ,Vol. 30, No. 1, March, 2002

[1] A. Lee，“Centrohermitian and skew- centrohermitian matrices,” Linear Algebra and its Applications , vol. 29 ,pp.205-210, 1980

[3] R. Roy and T. Kailath. “ESPRIT- Estimation of Signal Parameters via Rotational Invariance Techniques.” IEEE Trans. Acoust., Speech, Signal Process., vol.ASSP-37, pp. 984-995, July 1989.

[4] M. Haardt and JA. Nossek. “Unitary ESPRIT：How to Obtain Increased Estimation Accuracy with a Reduced Computational Burden.” IEEE Trans. On Signal Processing, Vol. 43, No.5 pp. 1232-1242 May 1995

[6] T. J. Shan, M. Wax, and T. Kailath. “On Spatial Smoothing for Direction-of-Arrival Estimation of Coherent Signals” IEEE Trans. Acoust., Speech, Signal Process., vol.ASSP-33. pp. 806-811, Aug 1985.