流形分离在非均匀圆阵上的应用

摘要

流形分离技术(MST)将任意结构阵列的阵列流形矢量分解为采样矩阵(只与阵列结构有关)和范德蒙德结构矢量的乘积(只与来波有关),使只适用于均匀线列阵的DOA估计方法可用于任意结构阵列.建立了任意结构阵列模型,选取非均匀圆阵作为研究示例,将MST中采样矩阵的求取转化为最小二乘问题,而后利用root-MUSIC对范德蒙德结构进行DOA估计.仿真分析表明:通过MST,只适用于均匀线列阵的求根类高分辨算法可用于任意结构阵列.%Manifold separation technique (MST) is used to decompose a manifold vector of arbitrary geometrical array into the products of a sampling matrix ( dependent on the antenna array only) and a Vandermonde structure vector (dependent on the wavefield only). This allows the fast direction-of-arrival ( DOA) algorithms for uniform linear arrays to be used for the arbitrary geometrical arrays. A model is established for arbitrary geometrical array, and a non-uniform circular array is taken for example. The sampling matrix of MST is obtained by least-square. As a result, root-MUSIC can be used to estimate the DOA of Vandermode structure. The simulation proves that the high resolution rooting algorithm only suitable for uniform linear array can be used for arbitrary structural array via MST.