基于白噪声的跟踪雷达量测误差建模与仿真

Emulation and Modeling Based on Measurement Errors of White Noises by Tracking Radars

受诸多因素的影响,雷达跟踪目标存在测量误差。对于运动目标,雷达测量误差过程是一个具有均值趋势和时变方差的非平稳随机过程,白噪声部分描述的是雷达接受的机热噪声。原始分析误差过程时间序列的方法,在实验中记录雷达各种误差源的实验数据一般情况下是不可能的,且记录并分离一个被试雷达系统的各种误差源也是困难的。采用时变方差、相关残差的线性回归-自回归混合对雷达测量误差(方位测量、距离测量和仰角测量)进行建模;同时讨论估计量的大样本性质及模型的仿真算法。通过仿真实例,对白噪声进行检验,测量误差与目标真值(与真值(光测)误差不到千分之一)无显著性差异,验证了所提方法是可行和有效的。

Due to the influence of various factors, there exist measurement errors when radars are tracking targets. For the moving object, the process of radar measurement error is an unstable random course with equal value trend and time variance. The part of White Noise describes the Machine Heat Noise that received by radar. The method of primitive process of error analysis in time sequencer, the experimental data of recording the various error source in experiment is usually impossible to get, and it is difficult to record and separate all the error source in a test radar system. This paper, adopting combinations of linear recurrence and self-recurrence of time variance, related residual error, deals with the modeling of radar measurement errors （azimuth measurement, distance measurement and elevation measurement）. It also discusses the nature of samples of estimation quantity and emulation arithmetic in modeling. Through the emulation instances which examine the white noise, the measurement errors and true value of the objects do not have the significance difference, at the same time, between the measurement errors and true value （mere measurement）, the error is less than 1‰, which proves that the method presented to be feasible and effective.