Entangled Light Quantum Positioning Method Based on Adaptive Light Source Selection
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摘要: 纠缠光量子定位方法是目前导航与定位领域的研究热点之一，而现有方法很少考虑散射环境动态变化对不同光源中传播距离估计性能的影响，从而导致定位精度不高且鲁棒性较差的问题。针对这一问题，该文提出一种基于自适应光源选择的纠缠光量子定位方法。首先，建立不同散射环境干扰与各光源信号传播距离之间的数学关系，计算各光源信号光时间脉冲序列光子丢失率均值，并对各光源时间脉冲序列进行动态分组；其次，对纠缠光时间脉冲序列进行符合计数，根据光的2阶关联曲线得到各光源各分组下的传播距离；最后，以各光源各分组下的相对误差为依据，动态选择具有较小相对误差的光源进行定位。实验结果表明，所提方法具有更高的定位精度和更强的定位鲁棒性。Abstract: The entangled photon positioning method is one of the current research hotspots in the field of navigation and positioning. However, the existing methods consider rarely the influence of the dynamic changes of the scattering environment on the performance of propagation distance estimation in different light sources, resulting in the problem of low positioning accuracy and poor robustness. To solve this problem, an entangled light quantum positioning method is proposed based on adaptive light source selection. First of all, the mathematical relationship between the interference of different scattering environments and the light propagation distance in each light source is established, the average photon loss rate of each light source signal light time pulse sequence is calculated, and the time pulse sequence of each light source is dynamically grouped. Then, the optical time pulse sequence is matched, and the propagation distance of each light source in each group is obtained according to the second-order correlation curve of light. Finally, based on the relative error of each light source in each group, the light source with the smaller relative error in each group is dynamically selected for positioning. The experimental results show that the proposed method has high positioning accuracy and strong positioning robustness.
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表 1 基于自适应光源选择的纠缠光量子定位算法
输入：$\left\{ {\bf{CH1} }_{1},{\bf{CH1} }_{2},\cdots ,{\bf{CH1} }_{A}\right\}$,$\left\{{{\bf{CH2}}}_{1},{\bf{CH2}}_{2},\cdots ,{\bf{CH2}}_{A}\right\}$,$ K $,$ B $,$M$,$T$,$ s $,$ Q $,$ {g_\tau } $ 输出：各分组下选择的定位光源$\left\{ { { {\boldsymbol{v} }_1},{ {\boldsymbol{v} }_2}, \cdots ,{ {\boldsymbol{v} }_M} } \right\}$，其中，第.$m$.个分组下定位光源${{\mathbf{v}}_m} = \left( {{v_1},{v_2}, \cdots ,{v_B}} \right)$ (1) for $q = 1:Q$ do (2) $ {\tau _q} = s \times q $,${\bf{count}}\left( { {\tau _q} } \right) \leftarrow 0$ (3) for $i = 1:\dfrac{K}{M}$ do (4) If $\left| { {t_{1i} } + {\tau _q} - {t_{2i} } } \right| \le {g_\tau }$ do (5) ${\rm{count} }\left( { {\tau _q} } \right) = {\rm{count} }\left( { {\tau _q} } \right) + 1$ (6) end if (7) end for (8) end for (9) ${\text{find} }({\bf{count} }(\tau ) = = \max ({\bf{count} }({\tau _q})))$ (10) 重复式(1)-式(9)$A \cdot M$次，得到$\left\{ { {{\boldsymbol{\tau}} _1},{{\boldsymbol{\tau}} _2}, \cdots ,{{\boldsymbol{\tau}} _M} } \right\}$，${{\boldsymbol{\tau}} _m}{\text{ = } }\left( { {\tau _1},{\tau _2}, \cdots ,{\tau _A} } \right)$ (11) 计算${{\boldsymbol{\tau}} _m}{\left( a \right)^\prime }{\text{ = } }{{\boldsymbol{\tau}} _m}\left( a \right) - {{\boldsymbol{\tau}} _s}$，${{\boldsymbol{\tau}} _s}{\text{ = } }\min \left( {{\boldsymbol{\tau}} \left( a \right)} \right)$ (12) 记录各分组下$ B $个误差最小定位光源$\left\{ { { {\boldsymbol{w} }_1},{ {\boldsymbol{w} }_2}, \cdots ,{ {\boldsymbol{w} }_M} } \right\}$，${ {\boldsymbol{w} }_m} = \left( { {w_1},{w_2}, \cdots ,{w_B} } \right)$ (13) if $ {\tau }_{m}\left({w}_{m}\left(b\right)\right) < {\tau }_{m}\left({w}_{m}\left(b-1\right)\right) $ (14) ${ {\boldsymbol{v} }_m}{\text{ = } }{ {\boldsymbol{v} }_m} \cup {w_m}\left( b \right)$ (15) end if (16) 重复式(13)-式(15)$B \cdot M$次，更新各分组定位光源$\left\{ { { {\boldsymbol{v} }_1},{ {\boldsymbol{v} }_2}, \cdots ,{ {\boldsymbol{v} }_M} } \right\}$，${{\mathbf{v}}_m} = \left( {{v_1},{v_2}, \cdots ,{v_B}} \right)$ 
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表 2 实验主要参数
名称 取值 激光器功率(mW) 40 非线性晶体尺寸(mm3) 1×2×20 温度控制器精度(°C) 0.01 同步与符合模块时间测量范围(ms) ≥1 单光子探测器死时间(ns) ≤20 单光子探测器暗计数(Hz) <500 单光子探测器饱和计数(MHz) 35 单光子探测器探测效率 >60% 单光子时间分辨率(ps) 350
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