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Time Scales in Probabilistic Models of Wireless Sensor Networks (1303.0031v1)
Published 28 Feb 2013 in math.PR, cs.DC, cs.MA, math-ph, and math.MP
Abstract: We consider a stochastic model of clock synchronization in a wireless network consisting of N sensors interacting with one dedicated accurate time server. For large N we find an estimate of the final time sychronization error for global and relative synchronization. Main results concern a behavior of the network on different time scales $t=t_N \to \infty$, $N \to \infty$. We discuss existence of phase transitions and find exact time scales on which an effective clock synchronization of the system takes place.