基于酉变换-矩阵束的稀布线阵方向图综合

doi:10.11999/JEIT151437

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Abstract

A novel non-iterative method, named unitary matrix pencil method, is presented in this paper for the pattern synthesis of sparse linear arrays. Through unitary transformation of the centro-Hermit matrix constructed using sample data of the desired pattern, an equivalent real-valued matrix pencil can be achieved so as to determine the relation between non-uniform element positions and new generalized eigenvalues. Then, the lower order left singular vector matrix can be obtained by discarding the non-principal singular values generated by Singular Value Decomposition (SVD) of the real-valued matrix. The element positions and excitations are thereby estimated efficiently. Compared with other algorithms, this method can be utilized to directly obtain the real-valued solution of sparse array locations. Furthermore, Singular Value Decomposition (SVD) and Eigen Value Decomposition (EVD) are computed in the real-valued field with a lower computational cost. Simulation results validate the high-efficiency of the proposed synthesis method for the design of arbitrary linear array pattern with a fewer number of antenna elements.

Key words： Sparse array Centro-Hermit matrix Unitary transformation Matrix Pencil Method (MPM) Pattern synthesis

Received: 17 December 2015 Published: 14 July 2016

PACS:

TN820

Fund:

The National Natural Science Foundation of China (61172148)

Corresponding Authors: SHEN Haiou E-mail: haioushen1990@sina.com

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	SHEN Haiou
	WANG Buhong
	LIU Xinbo

Cite this article:

SHEN Haiou,WANG Buhong,LIU Xinbo. Sparse Array Pattern Synthesis Using Unitary Transformation Matrix Pencil Method[J]. JEIT, 2016, 38(10): 2667-2673.

URL:

http://jeit.ie.ac.cn/EN/10.11999/JEIT151437 OR http://jeit.ie.ac.cn/EN/Y2016/V38/I10/2667

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