Abstract
Visible light communication (VLC) based on light emitting diodes (LEDs) has attracted much attention because of its high data rate and energy efficiency. However, the shadowing caused by any mobile obstacles could block the light-of-sight (LoS) link which may have a dramatical effect on the indoor VLC channel state information (CSI). Instead of investigating the shadowing channel characteristics, we model the link blockages as the incomplete channel matrix with sparse missing elements and reconstruct the transmitted signal by the l 0 -minimization with additional constraint on shadowing loss. However, the indoor VLC channel is highly correlated especially in cases with small emitter separation. To further improve the accuracy performance, we design the transmit beamforming to reduce the total coherence. Simulation results illustrate the effectiveness of the proposed signal recovery algorithm with incomplete channel and further significant enhancement via the proposed beamforming design.
Highlights
The Visible light communication (VLC) could offer a strong wireless communication alternative to radio frequency (RF) used in indoor communication because of its advantages such as cost-effective, high security, license-free and immunity to RF interference [1], [2]
Considering the dynamical shadowing caused by the movement of people and obstacles, we model the LoS links as the incomplete channel matrix in which the missing elements present the link blockages
Considering the obstacles would be at random positions with any shape and size, we model the shadowing as random missing elements, and the perfect channel H can be represented as
Summary
The VLC could offer a strong wireless communication alternative to radio frequency (RF) used in indoor communication because of its advantages such as cost-effective, high security, license-free and immunity to RF interference [1], [2]. Considering the dynamical shadowing caused by the movement of people and obstacles, we model the LoS links as the incomplete channel matrix in which the missing elements present the link blockages. Under the incomplete channel matrix, the 0-minimization is introduced to reconstruct the signal with additional constraint to limit the shadowing effect. It is noted that the highly-correlated indoor VLC channel may result in large sum-of-square error (SSE) of recovered signals, which motivates us to reduce the channel coherence further. Simulation results illustrate the effectiveness of the proposed signal recovery algorithm with incomplete channel and the significant improvement by minimizing the total coherence. We introduce the 0-minimization to reconstruct the transmitted GenSM signals with additional constraint that eliminates the shadowing effect, which is further approximated as the 1 − 1 optimization and solved by ADMM algorithm.
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