ieee transactions on signal processing (to appear) 1 ber sensitivity to mis-timing in ultra

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1、IEEETRANSACTIONSONSIGNALPROCESSING(TOAPPEAR)1BERSensitivitytoMis-TiminginUltra-WidebandImpulseRadios,PartII:FadingChannelsZhiTian,Member,IEEE,andGeorgiosB.Giannakis,Fellow,IEEEAbstractWeinvestigatetimingtolerancesofultrawidebanddegradationinducedbymis-timingunderfixedchannelreal-(UWB)impuls

2、eradios.Wequantifythebit-error-rate(BER)izations.Infadingchannels,theinstantaneousBERderivedinsensitivitytoepochtimingoffsetunderdifferentoperatingcondi-[5]canbeintegratedoverthejointprobabilitydensityfunctiontions,includingfrequencyflatfadingchannels,densemultipath(pdf)oftherandomchannelpa

3、rameterstoobtaintheaveragefadingchannels,multipleaccesswithtimehopping,andvariousreceivertypesincludingslidingcorrelatorsandRAKEcombiners.BER,whichisthefocusofthispaper(PartII).Forageneralcorrelation-baseddetector,wederivedinPartIWefirstlayoutaprocedureforevaluatingtheBERperfor-unifyingexpr

4、essionsforthedecisionstatisticsaswellasBERmanceofanoptimumsymbol-by-symbolreceiverforanyran-formulasundermis-timinggivenfixedchannelrealizations.Indomchannel.TheBERisexpressedintermsofthereceiver’sPartII,weprovideasystematicapproachtoBERanalysisenergycapturecapability.Theresultsdependonacou

5、pleofundermis-timingforfadingchannels.TheBERisexpressedintermsofthereceiversenergycapturecapability,whichwekeychannelstatisticsthatcanbenumericallyobtainedbyquantifyundervariousradiooperatingconditions.Wealsoshowaveragingoveralargenumberofchannelrealizations.Thisaproperdesignofcorrelation-

6、templatethatisrobusttomis-generalapproachtoBERanalysisappliestoanychanneltiming.Throughanalysesandsimulations,weillustratethatthefadingtype,butrequirescomputationally-intensivenumericalreceptionqualityofaUWBimpulseradioishighlysensitivetoevaluation.Thismotivatesourfocusonreal-valuedGaussia

7、nbothtimingacquisitionandtrackingerrors.fadingchannels,forwhichwederiveclosed-formBERforIndexTermsultrawidebandradio,synchronization,mis-anyRAKEreceivers,expressedwithrespecttothechanneltiming,optimalcorrelator,RAKEreceiver,performanceanalysisstatisticsandtheR