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基于循环特性的均匀圆阵快速空间谱计算
黄秀琼,郝克钢,樊荣,万群
0
(中国西南电子技术研究所,成都610036;电子科技大学 电子工程学院,成都611731)
摘要:
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。
关键词:  均匀圆阵  空间谱估计  循环矩阵  离散傅里叶变换  卷积运算
DOI:
基金项目:国家科技重大专项(2016ZX03001022);国家自然科学基金资助项目(U1533125)
Fast spatial spectrum estimation based on cycle characteristic of uniform circular array
HUANG Xiuqiong,HAO Kegang,FAN Rong,WAN Qun
()
Abstract:
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.
Key words:  uniform circular array(UCA)  spatial spectrum estimation  cyclic matrix  discrete Fourier transform(DFT)  convolution operation