## 6 Conclusions  
VLC systems usually adopt a multi-LED layout to take into account the dual functions of lighting and communication. Therefore, MIMO technology is required for multi-antenna cooperative transmission to realize high-speed communication. However, the MIMO system increases the channel capacity by simultaneously activating all the transmitting antennas, which leads to defects such as co-channel interference and multipath effects between channels, which limit the application of MIMO technology. Based on this, an antenna selection algorithm is introduced to improve the bit-error performance by selecting one or more antennas with the best performance from multiple transmitting and receiving antennas in the MIMO system. At present, the antenna selection algorithm mainly includes the random antenna selection algorithm, the norm antenna selection algorithm, and so on. The random selection algorithm randomly selects a set of antennas for data transmission without any selection criteria. The norm-based antenna selection algorithm must know the channel parameters; however, the actual channel is time-varying. Therefore, this paper proposes a Pearson coefficient antenna selection algorithm that does not depend on the accuracy of channel estimation. The basic principle is to use the Pearson coefficient correlation between PD terminals at different locations and active transmitting antennas to  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Modulation** & **Transmission** & **Spectral Efficiency** & **Complexity** \\
**System** & **Rate/(bis/s)** & **(bit/s Hz)** & **Complexity** \\ \hline OGSMP-2 PAM & \(\left\lfloor\log_{2}C_{N_{t}}^{N_{a}}\right\rfloor+N_{a}\) & \(\left\lfloor\log_{2}\left(C_{N_{t}}^{N_{a}}\cdot 2^{N_{a}}\right)\right\rfloor\) & \(2^{\left\lfloor\log_{2}C_{N_{t}}^{N_{a}}\right\rfloor}\cdot 2^{N_{a}}\cdot N_{c} \cdot 2^{N_{a}}\) \\ \hline OGSMP-4 PAM & \(\left\lfloor\log_{2}C_{N_{t}}^{N_{a}}\right\rfloor+2N_{a}\) & \(2\cdot\left\lfloor\log_{2}\left(C_{N_{t}}^{N_{a}}\cdot 4^{N_{a}}\right)\right\rfloor\) & \(2^{\left\lfloor\log_{2}C_{N_{t}}^{N_{a}}\right\rfloor}\cdot 4^{N_{a}}\cdot N_{c} \cdot 4^{N_{a}}\) \\ \hline OGSMP-8 PAM & \(\left\lfloor\log_{2}C_{N_{t}}^{N_{a}}\right\rfloor+3N_{a}\) & \(3\cdot\left\lfloor\log_{2}\left(C_{N_{t}}^{N_{a}}\cdot 8^{N_{a}}\right)\right\rfloor\) & \(2^{\left\lfloor\log_{2}C_{N_{t}}^{N_{a}}\right\rfloor}\cdot 8^{N_{a}}\cdot N_{c} \cdot 8^{N_{a}}\) \\ \hline \hline \end{tabular}
\end{table}
Table 4: Transmission rate and complexity of OGSMP-MIMO schemes with different modulation schemes.  
select the optimal antenna combination, which further improves the bit-error performance of the OGSMP-MIMO system.  
Conceptualization, L.Z. and H.W.; methodology, L.Z.; software, J.C.; validation, L.Z., X.M. and J.C.; formal analysis, H.W.; investigation, J.C.; resources, L.Z.; data curation, H.W.; writing--original draft preparation, H.W.; writing--review and editing, L.Z.; visualization, J.C.; supervision, L.Z.; project administration, X.M.; funding acquisition, L.Z. All authors have read and agreed to the published version of the manuscript.  
The study was supported by the National Defense Foundation of China (Grant No. 61671362), General project of industrial field of Shaanxi science and Technology Department (Grant No. 2022 GY-072), Xi'an Science and technology project (Grant No. 2020 KJRC0040).  
Not applicable.  
Data Availability Statement: Data are contained within the article.  
The authors declare no conflict of interest.