中文摘要：

该文提出了一种虚拟的最小均方有源单元方向图展开方法，将不等间隔阵列的有源方向图展开为一个虚拟的均匀间隔阵列的若干单元辐射的叠加。通过该方法，对包含阵元耦合效应的不等间隔阵列方向图，可以使用快速傅里叶变换进行加速计算。并且，该文将这个方法与遗传算法（GA）相结合，得到一种改进的GA—FFT方法，可以应用于解决含阵元互耦的不均匀间隔阵列的赋形波束综合问题。最后，分别对不等间隔的偶极子阵列平项方向图及微带阵列的余割平方方向图进行了综合，结果表明所提方法的有效性和优势。

英文摘要：

A new Virtual Least-Square Active Element Pattern Expansion （VLS-AEPE） method is presented in this paper, which considers each active element pattern of an unequally spaced array as the one radiated by some of equally spaced elements of a virtual array. Using the help of this method, the pattern of an unequally spacedarray including mutual coupling can be efficiently calculated by FFT. In addition, this method is combined with the Genetic Algorithm （GA） to deM with the shaped pattern synthesis problem for unequally spaced linear arrays. Two synthesis experiments including the synthesis of flat-top pattern for an unequally spaced dipole array and the synthesis of cosec-squared pattern for an unequally spaced microstrip array are conducted to verify the effectiveness and advantages of the proposed algorithm.