基于半无穷维二次优化阵列方向图综合

Semi-infinite Quadratic Optimization Formulation for Pattern Synthesis of Arrays

提出一种综合具有任意需要方向图的包含非各向同性和非均匀间隔的线性阵列的新方法。该方法的基本思想在于将综合问题转变为一个半无穷维二次优化（ＳＩＱＯ）模型：在一组线性泛约束条件下使权矢量的范数最小。该约束条件保证瞄准方向为单位增益，并且在给定范围内旁瓣电平满足要求。该方法具有广泛的应用和实际意义。文中给出了设计例子以证明该方法的可行性和实用性。

In this paper,a new method is proposed for synthesizing arbitrarily desired pattern for linear geometry array with nonisotropic elements, and with nonuniform spacing between elements. The basic idea of the technique is to formulate the problem into semi-infinite quadratic optimization (SIQO) model with the minimization of the weight vector norm subject to a set of linear functional inequality constraints,wnich ensures unit gain for look direction and the desired sidelobe levels over the corresponding angular sectors. Numerical examples are given to verify that the method has wide practical applications.