基于MUSIC算法多脉冲采样的ARM抗诱饵测向误差分析

Analysis of the direction finding error of the antagonizing decoy by ARM based on the MUSIC algorithm in multiple pulse sampling

针对ARM采用空间谱估计算法对抗雷达有源诱饵系统时,由于同一脉冲内各辐射源数据间具有强相关特性而使得算法的估计性能有所下降的问题,建立了多脉冲采样时观测数据分组相关的数学模型。通过Taylor展开的方法对随机相位矩阵的逆的期望进行求解,从而得到多脉冲采样下MUSIC算法对抗诱饵的测向误差近似值。并通过仿真实验给出了在脉冲数、辐射源数、阵元数及入射角度间隔不同时,估计有效比与经典MUSIC算法理论值的差异程度。采样脉冲数较少会使得ARM采用超分辨算法时的实测估计误差与理论值有较大差异。

With a focus on the degraded performance of spectral estimation algorithms due to the strong correlation among data of radiation sources in a single pulse, when antagonizing radar active decoy systems, the system model of correlated data sampled in multiple pulses was established in this paper. By antagonizing the decoy through use of the MUSIC algorithm, the approximate value of the direction finding error is obtained by solving the expectation of the inverse of the matrix of random phases using the Taylor expansion in the case of multiple pulse samplings. Simulations show the difference between the efficiency ratio and its theoretical value of classical MUSIC as the number of pulses, the number of sources, the number of antennas and the incidence angle interval changes. The primary reason for the huge difference between the actual estimation error of the super-resolution algorithm related to ARM and its theoretical value is that less pulses are used.