基于四元数模型的信号导向矢量求解方法  

The Solution of Signal Steering Vector Based on Quaternion Model

作　　者：赵继超 王湘宇 Zhao Jichao;Wang Xiangyu(The 20th Research Institute of China Electronics Technology Group Corporation, Xi’ anShaanxi 710000;Xidian University, Xi’ an Shaanxi 710126)

机构地区：[1]中国电子科技集团公司第二十研究所,陕西西安710000 [2]西安电子科技大学,陕西西安710126

出　　处：《现代工业经济和信息化》2018年第5期15-16,共2页Modern Industrial Economy and Informationization

摘　　要：在"Joint Estimation of DOA and Polarization with CLD Pair Cylindrical Array Based on Quaternion Model"一文中,其阵列流形是通过特征值分解反推得到的,该文的作者认为信号导向矢量可以通过阵列流形的每一列除以该列首元素得到。在本文中我们指出,通过特征值分解反推得到的阵列流形,其每列与真实值存在一个模糊系数,由于四元数乘法不满足交换律,从而使得导向矢量无法通过阵列流形的每一列除以该列首元素得到。最后还给出一种求解导向矢量的方法,并通过计算机仿真进行验证。In the article titled＂Joint Estimation of DOA and Polarization with CLD Pair Cylindrical Array Based on Quaternion Model,＂the estimated array manifold is obtained by eigenvalue decomposition operation, and the authors indicate that the spatial steering vector can be directly obtained by normalizing the estimated array manifold with respect to the reference sensor. In this corrigendum, we point out that each row of the estimated array manifold would suffer the unknown scaling ambiguity, the spatial steering vector cannot be obtained by the aforementioned method due to the noncommutation of the quaternion multiplications. Finally, a correct method is presented to estimate the spatial steering vector, and the simulation results verify the conclusion.

关 键 词：四元数 特征值分解 阵列流形 导向矢量 

分 类 号：F253.9[经济管理—国民经济]