一种声学测试弹着点坐标的稳健估计方法

A robust estimation method of acoustic test for impact point coordinate

针对火炮弹着点声检靶系统中弹丸着靶坐标精度不稳定的问题,建立抗差最小二乘法。该方法通过等价权函数将抗差估计与最小二乘法结合起来,利用残差对异常值进行降权处理,从而消除异常值对精度的不良影响。最后,对火炮弹着点声检靶系统进行仿真分析。分析和试验表明,抗差最小二乘法对异常值是稳健的,且精度优于一般最小二乘法,当靶幅为10 m×10 m且风速测试误差为3 m/s时,火炮弹着点声检靶系统针对火炮弹丸弹着点坐标测试精度优于5 cm。

A robustified least square method is established for the instability coordinate precision of the sound detection target system for the projectile impact point.In the method,the robust estimation is combined with the least square method by the equivalent weight function,and the residual is used to reduce the weight of the outliers to eliminate the adverse effects of the outliers on the accuracy.The simulation analysis of sound detection target system for the projectile impact point was carried out.The analysis and test results show that the robustified least square method is robust to outliers and its accuracy is higher than that obtained with the general least square method.When the target area is 10 m×10 m and the measurement error of wind speed is 3 m/s,the tested coordinate accuracy of the impact point obtained with the sound detection target system for projectile impact point is within 5 cm.