Robust Beamforming Design for Aggregated Visible Light Communication and Radio Frequency Systems
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摘要: 该文首次研究了可见光通信(VLC)与射频(RF) 聚合系统稳健波束成形设计。具体来说，在VLC和RF信道状态信息(CSIs)都不完美的情况下，该文提出了稳健波束成形设计方案，研究了同时满足最小速率要求和调光控制约束的总传输功率最小化问题。然而，稳健波束成形设计问题存在无限多的约束，这是难以处理的。通过半正定松弛(SDR)，首先对非凸原问题进行松弛，然后利用
$\mathcal{S}$ 引理将其重新表述为凸半正定规划(SDP)，用内点方法可以有效地求解。最后，数值仿真结果验证了所提稳健VLC-RF聚合系统的鲁棒性和有效性。-
关键词:
- 可见光通信 /
- 可见光与射频聚合系统 /
- 稳健波束成形
Abstract: The robust beamforming design for the aggregated Visible Light Communication (VLC) and Radio Frequency (RF) system are studied for the first time. Specifically, with imperfect Channel State Informations (CSIs) of both VLC and RF channels, robust beam formers design schemes are proposed to minimize the transmit power of the aggregated VLC-RF system, while satisfying both the minimum rate requirements and dimming control constraints. However, there are infinite constraints of the robust beamforming design problem, which is intractable in general. Through Semi-Definite Relaxation (SDR), the non-convex original problem is relaxed firstly, and then conservative reformulated it into a convex Semi-Definite Program (SDP) by exploiting$\mathcal{S}$ lemma, which can be efficiently solved by interior point methods. Finally, the robust and effectiveness of the proposed robust aggregated VLC-RF scheme are verified by numerical simulation results. -
图 6 传输功率、稳健方案的速率
${R_{{\text{VLC}}}}$ 和${R_{{\text{RF}}}}$ 随着最大光功率$P_{\text{o}}^{\max }$ 的变化表 1 仿真参数表
VLC链路 RF链路 仿真参数及符号 参数值 仿真参数及符号 参数值 噪声功率谱密度$\sigma _{\text{v}}^2$ ${10^{ - 21}}{\text{ }}{{\text{A}}^{\text{2}}}{\text{/Hz}}$ 噪声功率谱密度$\sigma _{\text{r}}^{\text{2}}$ $ - 57{\text{ dBm/Hz}}$ PD的有效探测面积${A_{\text{v}}}$ $1{\text{ c}}{{\text{m}}^2}$ 功率放大器效率${\mu _{\text{r}}}$ 0.45 PD的视场角$\varPsi$ 90° RF链路距离${d_{{\text{v}},k}}$ $3{\text{ m}}$ LED的半功率角${\theta _{1/2}}$ 60° 接收角${\psi _k}$ 45° LED允许的最大电流${I_{\text{H}}}$ $10{\text{ A}}$ 中心载波频率$f$ $2.4{\text{ GHz}}$ 带宽$ {B_{\text{v}}} $ $20{\text{ MHz}}$ 带宽$ {B_{\text{r}}} $ $10{\text{ MHz}}$ 
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