利用圆阵协方差矩阵的循环移位特性，基于对聚集系数的取值最优化问题，对圆阵的超指向性理论展开研究，得到了由初等函数表示的最大聚集系数、最优波束图和最优加权向量。分析了圆阵的各阶波束增益和稳健性参数随半径波长比的变化规律及其对阵列指向性的影响，给出了圆阵超指向性的一个解析且闭合的解，实现了一种特征波束的分解与合成的方法。在此基础上结合空中声源辐射噪声信号的特点，给出了针对空中声源辐射噪声设计超指向性圆阵时应遵循的4个准则，依据实测的直升机辐射噪声特性设计了一个小尺寸的超指向性接收阵列，对其性能进行了分析，通过与常规圆阵和线列阵的对比证明了其优越性。

The cyclic shift characteristic of the circular array co-variance matrix was used to study the super-directivity theory of the circular array based on the optimization of the aggregation coefficient.The maximum aggregation coefficient,the optimal beam pattern and the optimal weighted vector expressed by elementary function were obtained.The beam gain and the robustness parameters of the circular array varying with the radius ratio,and their influence on the array directivity were analyzed.An analytic and closed solution of the super-directivity of the circular array was given,and a method for decomposing and synthesizing characteristic beams was realized.Based on the characteristics of the noise signal of the airborne sound source,four criteria that should be followed when designing the super-directional circular array for the noise of the airborne sound source were given.Based on the measured radiation noise characteristics of a helicopter,a small-scale,super-directional receiver array was designed,and its performance was analyzed. The superiority of it was proved by comparison with the conventional circular and linear arrays.