基于多普勒频率的脱靶量参数估计性能分析

对基于多普勒频率的脱靶量参数估计方法的可观测性及估计性能进行了分析. 基于导弹在接近靶标轨迹段做匀速运动的假设,证明了利用时序多普勒频率进行脱靶量参数估计方法的全局可观测性,推导了频率估计存在满足零均值高斯分布的误差时估计参数的克拉美罗界(CRLB),并通过数值计算方法对影响估计参数CRLB的因素进行了仿真分析,仿真结果证明了该推导结果的正确性,给出了该方法在给定系统参数条件下不同脱靶量参数的估计性能,为利用此方法的脱靶量测量技术提供了参考. 

Performance Analyses of the Approach for Estimating the Miss Distance Parameters

In this paper, the observability and performance of the approach for estimating the miss distance parameters of a target by sequential Doppler frequency were studied. Under the assumption that the missile's trajectory near its target was relatively in uniform rectilinear motion, the global observability of the approach was proved. Then when estimation errors of Doppler frequency exist to meet zero-mean independent Gaussian distribution, the performance analysis was carried out using both the symbolic and numeric Cramér-Rao lower bound (CRLB), the correctness of which then was proved to be correct. Finally, the estimation performance of different missile miss distance in certain system parameters conditions was given through numeric CRLB. This provides theory references for the miss distance measurement of this method.