多普勒测速雷达速度转换的误差分析

Error analysis of speed conversion to Doppler speed radar

火炮射弹的初速是炮弹弹道测量的一个重要参数.介绍了多普勒测速雷达的工作原理基础上,根据弹道径向速度和切向速度的关系,推导出了测速雷达的速度转换公式,并用数学中求偏导数的方法对由速度引起的测速误差进行了分析.结果显示,弹丸切向速度测量误差是在进行速度转换时由径向速度测量误差传播过来的,速度转换公式的不精确性也会产生切向速度误差,并且经速度转换后测速误差略有增加.因此,提出的方法对测速雷达进行测速精度测试时有指导修正意义.

The beginning speed that artillery shoots is an important parameter of the ballistic measurement of shell. This paper introduces the work principle of Doppler speed radar, deduces the speed conversion formula based on the relationship of the radial speed and the derivative speed, and also deduces speed conversion formula. The speed measurement error is analyzed. The analytical result shows that the derivative speed measurement error will be transmitted from the radial speed measurement error in the process of transition, the inaccuracy of the speed transition formula will produce the derivative speed error, and the speed measurement error will increase after speed transition. So the method has practical significance for the speed measurement.