多LED可见光定位通信一体化稳健功率分配

杨瑞鑫; 张冠杰; 马帅; 柴进晋; 徐刚; 李世银

doi:10.11999/JEIT230406

多LED可见光定位通信一体化稳健功率分配

doi: 10.11999/JEIT230406

1.
中国矿业大学信息与控制工程学院徐州 221116
2.
鹏城实验室深圳 518055
3.
空军工程大学防空反导学院西安 710051
4.
东南大学毫米波国家重点实验室南京 210000

基金项目: 国家自然科学基金(61771474)，中国矿业大学未来科学家计划(2022WLKXJ016)，江苏省研究生科研与实践创新计划(KYCX22_2549)

详细信息

作者简介:
杨瑞鑫：男，博士生，研究方向为无线通信、可见光通信

张冠杰：男，硕士生，研究方向为无线通信、语义通信

马帅：男，副教授，研究方向为无线通信、可见光通信、语义通信

柴进晋：女，讲师，研究方向为密码学、编码理论、OFDM

徐刚：男，副教授，研究方向为雷达成像技术、遥感图像处理、稀疏信号处理、统计机器学习、人工智能

李世银：男，教授，研究方向为煤矿信息化、移动目标定位

通讯作者:
李世银　lishiyin@cumt.edu.cn

中图分类号: TN929.1
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出版历程
- 收稿日期: 2023-05-12
- 修回日期: 2023-07-05
- 网络出版日期: 2023-07-13
- 刊出日期: 2024-04-24

Robust Power Allocation for Multi-LED Integrated Visible Light Positioning and Communication

1.
School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, China
2.
Peng Cheng Laboratory, Shenzhen 518055, China
3.
Air Defense and Anti-Missile School, Air Force Engineering University, Xi’an 710051, China
4.
State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210000, China

Funds: The National Natural Science Foundation of China (61771474), The Graduate Innovation Program of China University of Mining and Technology (2022WLKXJ016), The Postgraduate Research & Practice Innovation Program of Jiangsu Province (KYCX22_2549)

摘要

摘要: 为了实现可见光定位(VLP)与可见光通信(VLC)一体化信号传输，保证稳健通信和有效定位，该文提出一种基于频分复用(FDM)的可见光定位通信一体化(VLPC)信号传输方案，并设计了一种多LED VLPC稳健功率分配方案。首先提出了一种基于频分复用的VLPC传输方案，实现两种信号一体化传输，频谱资源独立分配，从而降低传输时延，提高定位实时性；然后基于定位结果进行可见光信道估计，揭示了信道估计误差、通信速率与实际定位误差之间耦合关系与统计特性；更进一步，基于所得到的耦合关系，研究了多LED VLPC联合功率分配问题，从而最小化定位误差克拉默-拉奥下界(CRLB)，并满足功率约束和通信速率中断概率约束，并利用半正定松弛、最差情况条件风险值和连续凸近似等方法，将难以求解的非凸问题转化为一系列凸半正定规划问题进行迭代求解，并获得高质量可行解；最后，经过数值仿真验证，所提出的方案能够同时实现稳健通信和有效定位。稳健传输速率超过350 Mbit/s，并且当最小速率门限为200 Mbit/s，最大中断概率门限为0.01时，在直射路径加散射路径场景中，可以实现厘米级定位。
- 可见光定位 /
- 可见光通信 /
- 稳健功率分配
Abstract: In order to integrate signals of the Visible Light Positioning (VLP) and Visible Light Communication (VLC), a Frequency Division Multiplexing (FDM) based signal structure and a robust power allocation scheme for the multi-LED integrated Visible Light Position and Communication (VLPC) system are proposed. Firstly, an FDM-based VLPC signal structure is designed to carry two signals simultaneously with independent spectrum resource allocation, which can reduce transmission delay and improve real-time positioning. Then, the channel estimation based on positioning results is investigated, and the coupling relationship and statistical feature between the channel estimation error and positioning error are revealed. Furthermore, a VLPC robust power allocation problem is proposed to minimize the Cramér-Rao Lower Bound(CRLB) of the VLP under the power constraints and outage chance constraint of the communication rate. This nonconvex problem is transformed into a series of iterative convex semidefinite programming subproblems through semidefinite relaxation, worst-case conditional value-at-risk, and successive convex approximation. Finally, from the simulation results, it is verified that the proposed scheme can simultaneously achieve robust communication and effective positioning. The robust achievable rate exceeds 350 Mbit/s, and the centimeter-level positioning can still be achieved when the minimum rate requirement is 200 Mbit/s, and the maximum tolerable outage probability is 0.01.
- Visible Light Positioning(VLP) /
- Visible Light Communication(VLC) /
- Robust power allocation

HTML全文

图 1 多LED VLPC系统模型与信号传输框架

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图 2 UE和LED位置示意图

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图 3 通信速率累积分布函数($\mathcal{M} = \left\{ {1,2,3} \right\}$, r=350 Mbit/s)

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图 4 通信速率累积分布函数($\mathcal{M} = \left\{ {1,2,3,4,5,6} \right\}$, r=350 Mbit/s)

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图 5 定位RMSE累积分布函数($\mathcal{M} = \left\{ {1,2,3} \right\}$, r=200 Mbit/s)

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图 6 定位RMSE累积分布函数($ \mathcal{M} = \left\{ {1,2,3,4,5,6} \right\} $, r=200 Mbit/s)

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算法 1　基于CVaR和SCA的多LED VLPC稳健功率分配方法
输入：迭代终止条件$ ϵ\ge 0 $，速率门限$r$和中断概率${P_{{\text{out}}}}$，选择功率分配$ {\mathbf{P}}_{\text{p}}^{\left( 0 \right)} $和${\mathbf{W}}_{\text{c}}^{\left( 0 \right)}$，$k = 0$；
(1) 令$k = k + 1$, $ {{\mathbf{p}}_{{\text{p}},0}} = {\mathbf{P}}_{\text{p}}^{\left( {k - 1} \right)} $, ${{\mathbf{W}}_{{\text{c,0}}}} = {\mathbf{W}}_{\text{c}}^{\left( {k - 1} \right)}$，求解问题式(28)，得到最优解$ {\mathbf{P}}_{\text{p}}^{\left( k \right)} $和${\mathbf{W}}_{\text{c}}^{\left( k \right)}$；
(2) 如果$\left\|\text{Tr}\left({{\boldsymbol{J}}}_{{\boldsymbol{u}}}^{-1}\left({{\boldsymbol{P}}}_{\text{p} }^{\left(k\right)}\right)\right)-\text{Tr}\left({{\boldsymbol{J}}}_{{\boldsymbol{u}}}^{-1}\left({{\boldsymbol{P}}}_{\text{p} }^{\left(k-1\right)}\right)\right)\right\|\le \epsilon$，则循环结束，否则返回步骤(1)；
输出：最优功率分配${{\mathbf{w}}_{\text{c}}}$与${{\mathbf{P}}_{\text{p}}}$。

下载: 导出CSV

表 1 仿真参数

视场角ψ_FOV	半功率角φ_1/2	PD物理面积A_R	光学前端增益${\eta _{\rm{l}} },{\eta _{\text{c} } }$	通信信号带宽B_c	定位信号长度T_p	噪声功率谱密度N₀
180°	60°	1 cm²	1	40 MHz	0.1 μs	1.336×10^–22 A²/Hz

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