A synchronization system for an acoustic signal-based and inertial signal-based positioning system is provided that generates a magnetic field as a synchronization signal. The modulated magnetic synchronization signal is transmitted by a transmitter of the positioning system and received by the receiver of the positioning system. The receiver may make an acoustic position determination for the transmitter based on a received modulated synchronization signal and may make an inertial position determination for the transmitter based on the received inertial signal, such that the acoustic position determination and the inertial position determination are fused.