互耦自由度未知柱面共形阵列多参数联合估计
A Joint Multiple Parameters Estimation of Cylindrical Conformal Array in the Absence of Coupling Degree of Freedom
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摘要: 在互耦自由度未知条件下给出了柱面共形阵列多参数联合估计算法。针对柱面共形阵列中多参数相互耦合的难题,首先通过阵列结构设计,利用柱面共形载体单曲率特点,构建ESPRIT 子阵,基于一维搜索与ESPRIT算法,实现了互耦自由度和信源俯仰角的估计;在此基础上,结合秩损理论和互耦矩阵的Toeplitz 性质,估计出信源的方位角,并对可能出现的方位角模糊进行了分析,给出解模糊方法;最后利用时域ESPRIT 算法,完成了极化状态和互耦系数的联合估计。该算法不需要任何互耦和极化的先验信息,也无需参数配对,估计精度高、分辨力强。计算机Monte-Carlo 仿真验证了所提算法的有效性。Abstract: A joint multiple parameters estimation for cylindrical conformal array is proposed in the absence of coupling degree of freedom in this paper. To solve the problem of multiple parameters mutual coupling in the cylindrical conformal array ,firstly the ESPRIT subarray is acquired through that the sensors are arranged appropriately with the utilization of single curvature characteristic of cylindrical conformal carrier. The degree of the mutual-coupling and elevation angle of source are realized through searching for the degree of the mutual-coupling and ESPRIT algorithm. Then, based on rank-reduction theory, as well as that mutual-coupling is Toeplitz matrix, the azimuth angle is realized by one-dimensional parameter search. It also gives detailed analysis on possible azimuth ambiguity, with corresponding solutions. Finally, making use of TLS-ESPRIT algorithm, group of equations are created. The polarization and mutual-coupling coefficients are estimated by solution of the group of equations. Monte-Carlo simulation results are provided to demonstrate the effectiveness of the proposed method.