Synchronization of oscillators by nonlinear measurements with application to VLC

This note studies the problem of master-slave phase synchronization between two oscillators described by Andronov-Hopf equations, where pulse-like signals, which disturbances can be heavily corrupt, are used for communication. The synchronization conditions are established using the Lyapunov function theory, and the synchronization error bounds are evaluated. The results are motivated and illustrated by designing a synchronization scheme for visible light communication (VLC), where a periodic sequence is usually sent at the beginning of the communication to synchronize the transmitter and the receiver clocks.