共形阵列MUSIC算法分辨力性能分析

摘要

针对共形阵列分辨力性能分析问题，本文首先对锥面、柱面、球面等3种常见共形阵列进行信号建模，并基于MUSIC算法实现共形阵列下极化－DOA参数的联合估计，然后通过MUSIC零谱的定义以及噪声子空间投影矩阵的期望，给出MUSIC期望谱的具体表现形式，在此基础上详细分析推导了MUSIC算法在共形阵列中的分辨力门限；最后通过计算机仿真研究共形阵列分辨力门限理论值与仿真值的关系，以及共形阵列与均匀圆阵在分辨力性能上的差异，仿真结果显示共形阵列的分辨力门限随着信噪比的增加逐步降低，验证了理论分析的正确性。%For the purpose of conformal array resolution performance, the signal model of conformal arrays( conical conformal array, cylindrical conformal array, spherical conformal array) are built in this paper, and polarization⁃DOA estimation is realized based on MUSIC, through the definition of MUSIC null spectrum and expectation of noise subspace projection matrix. The expectation of MUSIC spectrum and the resolution threshold of MUSIC for conformal array are derived in detail. The resolution threshold relationship between theory and simulation, conformal array and uniform circle array are studied by computer simulation. Simulation results show that resolution threshold of conformal array is reduced gradually with the increment of SNR, and the correctness of theoretical analysis is certificated by the simulation.