基于共形极化敏感阵列的MUSIC算法角度分辨力研究

Study on angular resolution performance of MUSIC algorithm based on a conformal diversely polarized array

摘要:

针对具有超分辨能力的多重信号分类(MUSIC)算法在基于共形极化敏感阵列的被动雷达导引头测向应用中的角分辨力问题，提出了谱函数角分辨力的定义与分辨角门限。利用MUSIC算法零谱的定义近似推导了在渐进有偏条件下的期望值，并针对矢量阵列与标量阵列模型分别得出了相应的角分辨力表达式。以均匀圆形阵列为例，根据计算机仿真模型定量分析了各参量对角分辨力的影响，对比了标量阵列与矢量阵列的分辨角门限统计值。仿真结果表明，在同样的阵列及信号源参数设定条件下，标量均匀圆阵的分辨角值普遍高于矢量均匀圆阵。

Abstract:

For the application of the Multiple Signal Classification (MUSIC) algorithm with super-resolution capabilities in the direction finding of passive radar seeker heads based on conformal polarization-sensitive arrays, the definition of spectral function angular resolution and the discrimination angle threshold are proposed. By approximating the expected value under the asymptotically biased condition using the definition of the MUSIC algorithm's zero spectrum, the corresponding angular resolution expressions for vector array and scalar array models are derived respectively. Taking the uniform circular array as an example, the influence of various parameters on angular resolution is quantitatively analyzed based on the computer simulation model, and the statistical values of the discrimination angle threshold for scalar and vector arrays are compared. Simulation results show that under the same array and signal source parameter settings, the discrimination angle value of the scalar uniform circular array is generally higher than that of the vector uniform circular array.