High-resolution estimation of the directions-of-arrival distribution by algebraic phase unwrapping algorithms
High-resolution estimation of the directions-of-arrival distribution by algebraic phase unwrapping algorithms
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DOI：
10.1007/s11045-010-0141-0
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发表时间：
2011-03
影响因子：
2.5
通讯作者：
I. Yamada;K. Oguchi
中科院分区：
文献类型：
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作者：
I. Yamada;K. Oguchi
我们提出了一对符号代数算法的重要利用方法（Yamada 等人在 IEEE Trans Signal Process 46:1639–1664, 1998 中；Yamada 和 Bose 在 IEEE Trans Circuits Syst 1 Fundam Theory Appl 49:298–304, 2002 中），这些算法最初是为多维相位展开和零分布问题而开发的。给定在均匀传感器线性阵列上测量的数据协方差矩阵的次子空间，所提出的方法提供了多个窄带信号的到达方向（DOA）分布的估计，即任意指定范围内的 DOA 数量，而无需对每个到达方向进行任何数值搜索。所提出的方法可以作为强大的数学工具来提取高分辨率 DOA 估计问题中的全局信息。
We present nontrivial utilization methods of a pair of symbolic algebraic algorithms (Yamada et al. in IEEE Trans Signal Process 46:1639–1664, 1998; Yamada and Bose in IEEE Trans Circuits Syst 1 Fundam Theory Appl 49:298–304, 2002) which were developed originally for multidimensional phase unwrapping and zero-distribution problems. Given the minor subspace of the covariance matrix of the data measured at a uniform linear array of sensors, the proposed methods provide estimates of the Directions-of-Arrival (DOA) distribution of multiple narrowband signals, i.e., the number of DOA in an arbitrarily specified range, without using any numerical search for each direction of arrival. The proposed methods can serve as powerful mathematical tools to extract global information in the high-resolution DOA estimation problems.