%0 Journal Article %T 无源定位
Passive Location %A 张晓琪 %A 高佳楠 %A 徐子凯 %J Advances in Applied Mathematics %P 2006-2019 %@ 2324-8009 %D 2023 %I Hans Publishing %R 10.12677/AAM.2023.124205 %X 无源定位观测设备不向外发射电磁波，仅被动接受外界无线电信号对目标进行定位。本文主要通过机理研究，坐标变换，迭代法等对基于无人机目标的无源定位进行研究。问题1(1)中首先固定两架无人机发射信号即Y00，Y01，取两个固定无位置偏差的发射信号无人机构建一个极坐标系，接收信号到Y00的直线距离与极坐标系夹角为自变量，在两个三角形中运用正弦定理求解两种接收信号的无人机的坐标。\"\" 。 问题1(2)是基于问题一的延伸与发展，问题一解决了位于圆心的无人机(FY00)和编队中另2架无人机发射信号，同时在发射信号的无人机位置无偏差且编号已知的情况下，如何确定其余位置略有偏差的被动接收信号无人机的位置的问题。简言为已知3 (包含无人机(FY00))架机编号位置，可确定另一位置略有偏差无人机位置。问题二为已知两架无人机FY00和FY01的编号和位置，还需几架无人机编号位置，可确定另一位置略有偏差无人机编号位置？首先需得假设可发射信号的无人机亦可接收信号，题目中虽无说明但猜推测是可以，可发射信号的无人机亦可接收信号。9架无人机均匀分布在圆周上，若无偏差相邻无人机与圆心夹角均相等。由于逆时针或顺时针方位问题，将无人机分为上半周、下半周两组。由于发射信号的无人机位置无偏差，以FY00、FY01所连直线为X轴，由接收信号角度判断其方位角，进而判断所需无人机数。采用图形分析法进行讨论，最后在三角形定位下进行最小二乘法分析。讨论出还需几架无编号无人机才能进行定位。问题1(3)题根据接收到的方向信息来调整无人机的位置，通过表中数据已知FY00和FY01的位置是精确的，将FY00至FY09的极坐标转化为直角坐标可以得到无人机的直角坐标图，D为调整前各无人机与准确位置的距离之和，用迭代法依次矫正，最终使各无人机与准确位置的距离之和可以减小到3.6，很接近各个无人机的理想位置。问题2以FY13为坐标原点建立坐标系第1列FY11 [0, 100]，FY12 [0, 50]，FY13 [0,0]，FY14 [0, ？50]，FY15 [0, ？100]；第2列FY07 [25√3, 75]，FY08 [25√3, 25]，FY09 25√3, ？25]，FY10 [25√3, ？75]，第3列FY04 [50√3, 50]，FY05 [50√3, 0]，FY06 [50√3, ？50]，第4列FY03 [75√3, 25]，FY02 [75√3, ？25]，第5列FY01 [100√3, 0]通过程序模拟，将除了FY13和FY14外的无人机进行偏移处理，使其偏移标准位置，进行模拟仿真。以FY13和FY14作为两个固定发射信号无人机，设定另外一架已知编号无人机发射信号，可以通过问题1(1)模型确定其余无人机坐标，再通过问题1(3)方法对于其余无人机进行多次重复校准，来达到不断减小无人机偏移距离之和的目的。设计出无人机的调整方案。
Passive positioning observation equipment does not emit electromagnetic waves outward, but only passively accepts external radio signals to locate the target. In this paper, the passive positioning of UAV target is mainly studied through mechanism study, coordinate transformation and iterative method. Problem 1 (1) in the first fixed two UAV launch signal namely Y00, Y01, take two fixed po-sition deviation of the launch signal drones to build a polar system, receive the signal to Y00 linear distance and polar system Angle for independent variable, using the sine theorem in the two trian-gle solution two receiving signal coordinates.\"\" . Problem 1 (2) is based on the extension of the problem and development, a problem solved in the center of the drone (FY 00) and formation of two drones launch signal, at the same time in the posi-tion of the drone without deviation and the number is known, how to determine the rest of the posi-tion slightly deviation passive receiving signal the position of the drone. In short, it is the rack number position of known 3 (including UAV (FY 00)), which determines another position %K 正弦定理，图形分析法，最小二乘法，极坐标转换直角坐标，迭代法
Sine Theorem %K Graphic Analysis Method %K Least Square %K Polar Coordinate Conversion Rightele Coordinate %K Iteration Method %U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=64867