基于极大似然估计的高分辨雷达测角方法

An angle measurement method for high resolution radar based on maximium likelihood estimation

  • 摘要: 研究了高分辨雷达的测角方法:在介绍单脉冲测角原理的基础上,建立了宽带高分辨雷达角度估计模型,推导了目标偏角与回波信号的联合概率密度函数;提出了基于极大似然估计的宽带雷达测角方法,通过采用迭代算法交替更新目标偏角和回波信号,实现了目标偏角和回波信号的联合估计,并给出了目标偏角估计精度的近似克拉美罗界。仿真比较了该方法与传统窄带雷达测角方法的估计性能,结果表明,本方法的测角精度优于传统窄带测角方法,且在信噪比一定的条件下目标距离单元数越多,测角的均方根误差越小。仿真验证了该角度估计方法是渐近无偏的,估计误差方差小于传统窄带测角方法,且随距离单元数增多而减小。

     

    Abstract: The problem of target angle measurement in high resolution radar was studied. The principle for measuring angle in mono-pulse radar was introduced, then the model of angle estimation in high resolution radar is built, and the joint probabilistic density function of target angle and return signal was derived.An angle estimation method based on maximum likelihood estimation for high resolution radar was proposed, in which the angle of the target and the return signal were updated iteratively and estimated jointly, and the Cramer Rao Lower Bound of the angle estimation was approximated. The performance of the proposed method was compared against the traditional angle estimation method in narrow band radar by simulation, and it came out that the angle measurement accuracy is higher than traditional method. When the signal-to-noise ratio is given, the more the number of range cell is, the smaller the root mean square of the estimation error is. Simulation results verify that the proposed method is asymptotically unbiased, and has a smaller estimation error variance than traditional method in narrow band radar.

     

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