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Clock synchronization is a widely discussed topic in the engineeringliterature. Ensuring that individual clocks are closely aligned is important innetwork systems, since the correct timing of various events in a network isusually necessary for proper system implementation. However, many existingclock synchronization algorithms update clock values abruptly, resulting indiscontinuous clocks which have been shown to lead to undesirable behavior. Inthis paper, we propose using the pulse-coupled oscillator model to guaranteeclock continuity, demonstrating two general methods for achieving continuousphase evolution in any pulse-coupled oscillator network. We provide rigorousmathematical proof that the pulse-coupled oscillator algorithm is able toconverge to the synchronized state when the phase continuity methods areapplied. We provide simulation results supporting these proofs. We furtherinvestigate the convergence behavior of other pulse-coupled oscillatorsynchronization algorithms using the proposed methods.

Synchronization with Guaranteed Clock Continuity using Pulse-Coupled Oscillators