交叉定位模糊区的精确几何分析  

Precise Geometrical Analysis of Ambiguous Area in Beam-Crossing Locating

作　　者：王洪迅[1] 弥小溪[2] 皇甫惠栋[3] 王星[1] 王超[1] 

机构地区：[1]空军工程大学工程学院 [2]中国人民解放军93802部队 [3]中国人民解放军63655部队

出　　处：《电光与控制》2012年第3期17-20,共4页Electronics Optics & Control

基　　金：国家"八六三"计划基金资助项目(2010AA80910514C)

摘　　要：针对近似几何方式无法准确衡量交叉定位误差的问题,研究了交叉定位模糊区与目标方位的关系。基于精确几何法展开分析,通过对模糊区与目标几何关系的研究,数学推导得出模糊区的完整数学表达,描述了模糊区面积的变化规律。模糊区面积的最小值出现在两个测向站附近,测向交叉点(θ1=π/6,θ2=5π/6)的模糊区面积是局部极值,并与近似几何方式的结论进行了对比,讨论了两者的适用范围。在特定条件下,近似几何分析可以代替精确几何分析。通过仿真验证了相关结论的合理性,从而可实现定位策略的优化。Considering that the error of beam-crossing locating couldn＇t be estimated precisely by approximate method, we studied the ambiguous-area in beam-crossing locating. By means of exact geometrical method, the relationship between the ambiguous-area and target bearing was studied. The complete mathematical expression of ambiguous-area was obtained after deductions, and the changing law of ambiguous-area was described. The minimum value of ambiguous-area was at the round of the measuring nodes. The crossing（ 01 = π/6,π = 5,π/6） was a local extremum. The result was compared with that of the approximate method. The scope of application of the two methods was discussed. Under special conditions, approximate geometric analysis can be used in stead of the precise geometric analysis. Rationality of the conclusions was validated by simulation.

关 键 词：无源定位 交叉定位 模糊区 几何法 误差分析 

分 类 号：V271.4[航空宇航科学与技术—飞行器设计] TN971[电子电信—信号与信息处理]