基于循环特性的均匀圆阵快速空间谱计算

针对在阵元数多、分辨率要求高的情况下，基于均匀圆阵的空间谱直接计算方法存在计算量大、实时性差的缺点，利用循环矩阵、离散傅里叶变换、卷积运算之间的内在联系，提出了一种快速空间谱计算方法。仿真结果表明，在保持测向性能完全一致的情况下，所提快速算法降低空间谱计算过程中角度搜索阶段的计算量随阵元数增加而增加；且在相同计算量条件下，所提快速算方法可以用于更高精度和分辨率的角度搜索。

Fast spatial spectrum estimation based on cycle characteristic of uniform circular array

In the case of the large number of array elements and high resolution requirement, the algorithm for computing the spatial spectrum directly has low eficiency and poor realtime performance.For this disadvantage,this paper proposes an efficient uniform circular array (UCA) based spatial spectrum estimation algorithm to ruduce the computational complexity in angle searching phase by using the inner relationship between the eigen-decomposition of the cyclic matrix, the discrete Fourier transform (DFT) and the convolution operation.When the performance is kept exactly the same as that of the direct algorithm, the proposed algorithm is able to decrease more computational complexity if there are more array elements. The results of numerical simulation show that the proposed fast algorithm can achieve higher resolution with the same computing resources.