Robust Signal Recovery for MIMO VLC System With Incomplete Channel

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 that blocks the line-of-sight (LoS) link is one of challenges in the indoor VLC system, which may lead to severe performance degradation. Instead of investigating the statistical properties of shadowing, we model the link blockage as missing elements which results in incomplete channel. With the incomplete channel, we strive to recover the transmitted signal by $\ell _{0}$ -norm minimization of the transmitted signal while eliminating the effect of missing elements on system performance. It is further approximated as $\ell _{2}$ - $\ell _{1}$ minimization with optimum solution iteratively achieved via alternating direction method of multipliers (ADMM) algorithm. Simulation results indicate that the effectiveness of the proposed algorithm on robust signal recovery.