海上机动目标均匀概略航向下的散布规律研究
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摘要
研究了海上机动目标散布规律对反舰导弹目标搜捕具有的重要意义。在分析正态圆分布下目标以确定速度和均匀概略航向机动散布的内涵特征基础上,基于条件概率密度方法建立了CND-CS-ACUD散布概率密度模型,证明了该散布概率密度的对称特性。理论推导与数值分析表明:CND-CS-ACUD散布概率密度关于过航向分布范围角平分线的垂面对称;最大概率密度取值点必有一个位于航向分布范围角平分线上,与原点之间的距离小于、但随航向分布范围的压缩而趋近于目标机动距离;航向分布范围越小,高概率密度区域越集中,目标散布区域越小。CND-CS-ACUD散布对优化反舰导弹搜索参数、计算搜捕概率具有较强的应用价值。
Research the position distribution of marine moving target is significant in target acquisition of anti-ship missile. On basis of analyzing the connotation of target position distribution caused by certain speed(CS) and approximate course under uniform distribution(ACUD) in initial circular normal distribution(CND),CND-CS-ACUD distribution probability density model is built by means of conditional probability density. Symmetrical property of CND-CS-ACUD distribution is demonstrated. As a result of theoretical derivation and numerical analysis,CND-CS-ACUD distribution probability density is symmetrical on vertical spatial plane through angle bisector of course distribution range. The position point which gets maximum probability density of CND-CS-ACUD is located in angle bisector of course distribution range,and the distance between this point and the original point is less than target motion distance,but is more closely to target motion distance with more smaller course distribution range. High probability density area and target distribution area is more smaller when the course distribution range is more smaller. CND-CS-ACUD distribution can play an important role in optimizing search parameters of anti-ship missile and computing target acquisition probability.
Research the position distribution of marine moving target is significant in target acquisition of anti-ship missile. On basis of analyzing the connotation of target position distribution caused by certain speed(CS) and approximate course under uniform distribution(ACUD) in initial circular normal distribution(CND),CND-CS-ACUD distribution probability density model is built by means of conditional probability density. Symmetrical property of CND-CS-ACUD distribution is demonstrated. As a result of theoretical derivation and numerical analysis,CND-CS-ACUD distribution probability density is symmetrical on vertical spatial plane through angle bisector of course distribution range. The position point which gets maximum probability density of CND-CS-ACUD is located in angle bisector of course distribution range,and the distance between this point and the original point is less than target motion distance,but is more closely to target motion distance with more smaller course distribution range. High probability density area and target distribution area is more smaller when the course distribution range is more smaller. CND-CS-ACUD distribution can play an important role in optimizing search parameters of anti-ship missile and computing target acquisition probability.
引文
[1]侯学隆,姜青山.多种因素影响下的反舰导弹搜捕能力建模分析[J].海军大连舰艇学院学报,2017,41(1):23-27.
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[4]高青伟,曾家有,吴芳,等.惯性导航系统动基座对准对舰舰导弹捕捉概率的影响[J].兵工学报,2016,37(1):91-94.
[5]曾家有.各种因素对现在点射击方式反舰导弹捕捉概率的影响分析[J].兵工学报,2011,32(6):719-724.
[6]徐一帆,谭跃进,贺仁杰,等.天基海洋目标监视的系统分析及相关研究综述[J].宇航学报,2010,31(3):628-637.
[7]胡啸,林剑峰,刘林立.卫星侦察舰船目标分布预测及效能分析[J].计算机测量与控制,2012,20(6):1580-1584.
[8]刘维国,王警警.飞行器对目标区域搜索模型研究[J].舰船电子对抗,2012,35(5):28-31.
[9]马拴柱,刘飞.地空导弹射击学[M].西安:西北工业大学出版社,2012:140.
[10]盛骤,谢千式,潘承毅.概率论与数量统计[M].北京:高等教育出版社,2005:83-90.
[2]景永春,谢春思,熊正详,等.基于目标散布的反舰导弹捕捉概率研究[J].战术导弹技术,2016,37(4):188-193.
[3]曾家有,宋友凯,严建钢.基于目标位置误差圆分布的舰舰导弹捕捉概率计算模型[J].战术导弹技术,2010,17(2):55-58.
[4]高青伟,曾家有,吴芳,等.惯性导航系统动基座对准对舰舰导弹捕捉概率的影响[J].兵工学报,2016,37(1):91-94.
[5]曾家有.各种因素对现在点射击方式反舰导弹捕捉概率的影响分析[J].兵工学报,2011,32(6):719-724.
[6]徐一帆,谭跃进,贺仁杰,等.天基海洋目标监视的系统分析及相关研究综述[J].宇航学报,2010,31(3):628-637.
[7]胡啸,林剑峰,刘林立.卫星侦察舰船目标分布预测及效能分析[J].计算机测量与控制,2012,20(6):1580-1584.
[8]刘维国,王警警.飞行器对目标区域搜索模型研究[J].舰船电子对抗,2012,35(5):28-31.
[9]马拴柱,刘飞.地空导弹射击学[M].西安:西北工业大学出版社,2012:140.
[10]盛骤,谢千式,潘承毅.概率论与数量统计[M].北京:高等教育出版社,2005:83-90.