运用增广矩阵束方法稀布优化平面阵

基于增广矩阵束方法(Matrix Enhancement and Matrix Pencil,MEMP),以使用尽可能少的阵元逼近期望的方向图为目标，提出了一种求解阵元位置和设计激励幅度的新方法.首先对期望平面阵的方向图进行采样得到离散的数据集，再构造增广矩阵，对此增广矩阵进行奇异值分解(Singular Value Decomposition,SVD)，确定逼近期望方向图所需的最小阵元数目；基于广义特征值分解求解两组特征值，并根据类基于旋转不变技术的信号参数估计(Estimating Signal Parameters Via Rotational Invariance Techniques，ESPRIT）对这两组特值配对；在最小二乘准则下求解稀布面阵的阵元位置和激励.仿真试验验证了该方法在稀布平面阵优化问题中的高效性和数值精度.

Sparse antenna array synthesis using matrix enhancement and matrix pencil

For the purpose of using as few elements as possible to form a desired pattern, a new method based on matrix enhancement and matrix pencil(MEMP)is proposed to solve the element position and to design the excitation. Firstly, an enhanced matrix is built using the sampling data of the desired planar array radiation pattern and the singular value decomposition(SVD) can be performed. Then the minimun number of elements can be determined. Secondly, the generalized eigendecomposition is employed to calculate the eigenvalues and the estimating signal parameters via rotational invariance techniques (ESPRIT) is utilized to pair the eigenvalues of each column. Finally, excitations and locations are calculated according to the correct pairing of eigenvalues. Simulation results are presented to illustrate the efficiency and numerical accuracy of the approach.