Research On The Measurement Method Of Anti-air Missile Miss Distance

The miss distance is an important criterion to judge the ability of guidance and control of an anti-air missile, and the miss distance measurement is always an important research problem both at home and abroad. This paper studies the basic rules and the practical methods of measuring anti-air missile miss distance using Doppler frequency and the space position of the missile and the target, and the major objective is to study the data process methods or the measurement methods which can improve the miss distance accuracy using the traditional measurement means.When the miss distance is measured using Doppler frequency, a Doppler frequency mathematical model is established at first. If the Doppler frequency data contains the stochastic errors only, the estimation problem of the miss distance is represented as the nonlinear least square fitting of the Doppler frequency data and its low frequency wavelet coefficient. Then, the factors which affect the estimation accuracy are analyzed by the Monte-Carlo simulation, and the result shows that the miss distance accuracy which is estimated by this fitting method is high. At last, the key problem of removing the outliers of Doppler frequency is studied. A mathematical model of the outliers is established, and the specific steps of distinguishing and replacing the outliers using wavelet multi-scale decomposition and the nonlinear least square fitting estimation are given. The method of removing the outliers is proved by the simulation, and the result shows that this method can remove the outliers effectively if the number of the outliers is one-third no more than the number of the total data.When the miss distance is measured using the space position of the missile and the target, the missile and the target are supposed to fly in rectilinear motion and with constant velocities at first. A mathematical model which estimates the miss distance using the 3-D coordinate measurement data of the missile and the target is established. A method is studied, of which the motion trails of the missile and the target are rebuilt and the miss distance is estimated using the linear least square fitting whether the missile hits the target or not. Then, two mathematical models which measure the space position of the missile and the target using one more photoelectrical theodolites and a radar are established. The miss distance accuracy and the error factors which are measured by the photoelectrical theodolites and the radar are analyzed by the Monte-Carlo simulation, and the result shows that the miss distance accuracy which is measured by the photoelectrical theodolites is higher than which is measured by the radar. At last, the radar's angle measurement accuracy and data sampling rate are low, so how to improve the miss distance measurement accuracy becomes a key problem. In order to solve this problem, the missile is supposed to fly in rectilinear motion and with constant accelerations in the 3-D direction, and an accurate motion model of the missile is established. On the basis of this model, a method of estimating the miss distance using the data fusion of the photoelectrical theodolite and the radar is studied, and the simulation shows that the data fusion can improve the miss distance accuracy effectively which is measured by the radar.