MLE for Receiver-to-Receiver Time Synchronization in Wireless Networks with Exponential Distributed Delays
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Date
2014-01-30
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Abstract
Receiver-to-receivertimesynchronizationinwirelessnetworksisconsidered,andappropriatemaximum-likelihoodestimators(MLE)forenvironmentswithexponentialdistrustedreceptiondelaysareproposed.Inthereceiver-to-receiversyn-chronizationapproach,timeatreceiversshouldbedirectlyrelatedtooneanotherwithoutrefereingtothesender(reference),whichpermitstoeliminatethesender’suncertaintyfromthevariabledelays(timecritical-path).Themodelsandestimatorsproposedforthesender-to-receiverapproacharethusinappro-priateforthereceiver-to-receiverone.Amodelthataccuratelyreflectstherelativefeatureoftheconsideredapproachandeliminatesthesenders’suncertaintyisused,wheretimestampsatthereceiversaredirectlyrelatedwithoutrefereingtothesender’stimeortimestamps.Bydirectlyrelatingtimeattworeceiverswithidenticalexponentialreceptiondelay,,ityieldsadistributionasthedifferencebetweenthetwodelays.TheyusetheloglikelihoodfunctionofthelatterandtheMLmethod,theoffsetestimatorhasbeenanalyticallyderived,wherealinearprogramisgivenforthejointoffset/skewmodel.Theaccuracyoftheproposedestimatorshasbeennumericallyanalyzedbysimulation.Resultsshowhighprecisionoftheproposedestimators,whichcanbeintegratedwithanyreceiver-to-receiversynchronizationprotocol.
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time synchronization, wireless sensor network, estimators