基于CRLB的舰炮定位精度能力需求生成

Positioning Accuracy Capability Requirement Generation of Naval Gun Based on CRLB

为分析舰炮武器在对海作战时满足指定命中概率的情况下对定位精度的要求,建立了由目标定位精度影响的Cramer-Rao Lower Bound(CRLB)舰炮火控系统误差、舰炮随机误差,以及射击命中界组成的单发命中概率模型,通过分析各数学模型之间的解析关系,定量生成单发命中概率为定值的情况下不同射击距离的定位精度能力需求,仿真验证新型舰炮初速可调对模型的影响,结果表明,为达到指定命中概率的作战前提下,定位精度越高,射击距离越远;射击距离一定时,初速越大,对定位精度要求越低。

In order to analyze the requirements of the positioning accuracy when the naval gun weapon satisfies the specified hit probability in the sea combat, the probability model of single hit is established which is composed by error model of CRLB shipborne fire control system influenced by target positioning accuracy,random error model of naval gun and shot hitting boundary model. The model can quantitatively generates the positioning accuracy capability requirements at different firing distances when the single shot probability is fixed by analyzing the analytic relationship among the mathematical models. The results show that,in order to achieve the designated single shot probability, the higher the positioning accuracy,the farther the shooting distance. When the firing distance is fixed,the greater the muzzle velocity,the lower the positioning accuracy required.