本文介绍了一种赋形功率方向图的非均匀(包括阵元间隔)线阵综合方法.该方法首先通过求解一个线性不等式约束下的最小均方误差优化问题,得到满足要求的功率方向图.然后使用求根方法对功率方向图对应的多项式进行分解,得到场方向图.最后使用前向后向矩阵束方法给出优化的激励幅度、相位和位置估计.文中对比了激励向量采用加权和不加权的最小均方解的性能,并讨论了阵列互耦对方向图综合性能的影响.阵列综合实验证明了给出方法的有效性和稳健性.%A new method is studied in this paper for the synthesis of nonuniform linear antenna arrays with shaped power patterns. The method at first finds a satisfactory power pattern for the required radiation characteristics by solving a constrained linear least-squares problem. Then,factorize the polynomial associated with the power pattern by using polynomial root-finding, and consequently obtain the corresponding field patterns.Finally,the forward-backward matrix pencil method is used to obtain a nonuniform linear array with optimal excitation amplitudes,phases and locations for any choice of field patterns. The weighted least-squares solution of element excitations is compared in performance with the non-weighted solution, and the coupling effect between antenna elements on the array synthesis performance is also studied. Numerical results show the effectiveness and robustness of the proposed method.
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