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Error Bounds and Consistency of Maximum Likelihood Time Synchronization

Author(s): Björn Scheuermann, Wolfgang Kiess, Magnus Roos, Florian Jarre, Martin Mauve.
Title: Error Bounds and Consistency of Maximum Likelihood Time Synchronization
Published: Technical Report TR-2008-001, Computer Science Department, Heinrich Heine University, Düsseldorf, Germany, February 2008
Keyword(s): Time Synchronization, Linear Programming, Maximum Likelihood, Error Bounds, Consistency
Abstract: In this paper we consider a simplified version of a maximum likelihood time synchronization estimator introduced in [Scheuermann, Kiess, Roos, Jarre, Mauve: "On the time Synchronization of Distributed Log Files in Networks with Local Broadcast Media", IEEE/ACM TON, 2008, accepted for publication]. This simplified variant assumes approximately accurate clock rates. We give error bounds for the estimator under the assumption of a maximum timestamping delay, and we show that these error bounds are optimal. Furthermore, we prove consistency of the clock offset estimator for increasing numbers of observed events, and we derive a result on the error distribution of the event time estimates.
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