无线通信基础(双语)-教学课件-(6).ppt
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ReviewofLastClass,2、Timedispersion,3、ImpairmentsoftheWirelessChannel,1、FourBasicPropagationMechanism,Fading,Large-scalepathlossandshadowing,Small-scalefading,ReviewofLastClass,RadioPropagationModel“.characterizationofradiowavepropagationasafunctionoffrequency,distanceandotherconditions.”,ReviewofLastClass,Generalray-tracingmethod(simulation)Multipleray-tracingwithpropagationeffects(reflection,diffraction,LOSpath,scattering,etc)Mightconsiderbuildingmaterial(steel,concrete,brick,etc)EmpiricalmethodOn-sitemeasurementCurve-fittingStatisticalmethod,ReviewofLastClass,Chapter2-Lecture2,Large-scalepathlossandshadowing
(1),2.4Large-scalepathlossandshadowing,ThepathlossisdependentonthedistancebetweenthetransmitterandreceiverItalsodependsonthepropagationenvironmentTerraincharacteristicsWavelengthTransmittingandreceivingantennaheightsApathmodelisimportantfordeterminationofthebasestation(cell)coveragearea,Large-ScaleFading,2.4Large-scalepathlossandshadowing,2.4.2PropagationOverSmoothPlane,2.4.4Log-DistancePathLosswithShadowing,2.4.1FreeSpacePropagation,2.4.5Indoor/OutdoorPathLossModel,2.4.3DiffractionandFresnelZones,2.4.6RadioCellCoverage,TheFriisEquationFree-SpacePathLoss,1、FreeSpacepropagation,2.4Large-scalepathlossandshadowing,Nointerference,noobstructionsThereisnolossofenergyinfreespace,butthereisattenuationduetothespreadingofthewaves,1、FreeSpacepropagation,TheFriisEquation,Where:
Pt=totalpowerradiatedbyanisotropicsourceGt=transmittingantennagainGr=receivingantennagaind=distancebetweentransmittingandreceivingantennas=wavelengthofthecarriersignal=c/fcfc=carrierfrequency,1、FreeSpacepropagation,TheFriisEquation,Whattroublessomepeoplewhentheyseethisquestionisthatthepathlossalsoincreasesasthesquareofthefrequency.WhileitistruethatabsorptionofRFbyvariousmaterials(buildings,trees,watervapor,etc.)tendstoincreasewithfrequency,rememberwearetalkingabout“freespace”here.,1、FreeSpacepropagation,TheFriisEquation,Effectiveareaofanisotropicantenna,However,fromelectromagnetictheory,wenotethattheeffectiveareaofanisotropicantennainanydirectionisgivenby:
A=2/(4),2.4Large-scalepathlossandshadowing,1.Freespacepowerfluxdensity(W/m2)powerradiatedoversurfaceareaofsphereSPt/(4d2)Bycoveringsomeofthisarea,receiversantenna“catches”someofthisflux.,1、FreeSpacepropagation,TheFriisEquation,2.EffectiveareaofanisotropicantennaThepowerreceivedbyanantennaofeffectiveareaAisgivenby:
PR=SAHowever,fromelectromagnetictheory,wenotethattheeffectiveareaofanisotropicantennainanydirectionisgivenby:
A=2/(4)ThusPR=SA=Pt2/(4d)2,1、FreeSpacepropagation,TheFriisEquation,3.DirectionalRadiationWhiletheisotropicantennaisausefulillustrativedevice,mostantennasarenotisotropic.Instead,theyhavegainthatisafunctionoftheazimuthangleandtheelevationangle.Whennonisotropicantennasareused,weget,1、FreeSpacepropagation,TheFriisEquation,dDandd,wheredisthedistancebetweenthetransmittingantennaandreceivingantennaDisthelargestlineardimensionofantennaisthecarrierwavelengthddf,Assumesfar-field,1、FreeSpacepropagation,1、FreeSpacepropagation,TheFriisEquation,Theterm(4d/)2isknownasthefree-spacepathlossdenotedbyLp(d),whichis,1、FreeSpacepropagation,Free-SpacePathLoss,Whatdoes“dB”mean?
dBstandsfordeciBelor1/10ofaBelTheBelisadimensionlessunitforexpressingratiosandgainsonalogscaleGainsaddratherthanmultiplyEasiertohandlelargedynamicranges,1、FreeSpacepropagation,1、FreeSpacepropagation,1、FreeSpacepropagation,Whatdoes“dB”mean?
Ex:
AttenuationfromtransmittertoreceiverPT=100,PR=10attenuationisratioofPTtoPRPT/PRdB=10log(PT/PR)=10log(10)=10dBUsefulnumbers:
1/2dB-3dB1/1000dB=-30dB,1、FreeSpacepropagation,Whatdoes“dB”mean?
dBcanexpressratios,butwhataboutabsolutequantities?
Similarunitsreferenceanabsolutequantityagainstadefinedreference.nmWdBm=n/mWdBnWdBW=n/WdBEx:
1mWdBW=?
dBW,1、FreeSpacepropagation,Example2.2Transmitterpower:
50W.Antenna:
unitgain.Carrierfrequency:
900MHz.Distance:
d=100m.Find:
1)dBmvalueofthetransmitter,2)dBmvalueofthereceivedpower,3)Pr(d=10Km)=?
Relativedistance,1、FreeSpacepropagation,Example2.3IndoorWLANwithfc=900MHz.findtherequiredtransmitpowerinordertoguaranteeminimumreceivedpowerof10uWwithdistanceupto10m.Whatiffc=5GHz?
Assumeunitantennagains.,1、FreeSpacepropagation,Freespacepropagationdoesnotapplyinamobileenvironmentandthepropagationpathlossdependsnotonlyonthedistanceandwavelength,butalsoontheantennaheightsofthemobilestationandthebasestation,andthelocalterraincharacteristicssuchasbuildingsandhills.Asimpletwo-pathmodelcanbeusedtoillustratetheeffectoftransmittingandreceivingantennaheights.,2.4Large-scalepathlossandshadowing,2、PropagationOverSmoothPlane,FreeSpacePropagation,FriisEquationFree-SpacePathLossWhatdoes“dB”mean?
ReviewofLastClass,PropagationOverSmoothPlane,Two-pathmodel,ReviewofLastClass,2、PropagationOverSmoothPlane,Two-PathModel,Thepropagationdistanceofthedirectpathis:
Thepropagationdistanceofthereflectedpathis:
Two-PathModel,2、PropagationOverSmoothPlane,Giventhatdhthr,and,Itcanbederivedthat,Two-PathModel,2、PropagationOverSmoothPlane,Giventhatdhthr,wehaved1dandd2d.However,sincethecarrierwavelengthisverysmallcomparedwithd,aslightchangeinthepropagationdistancecancauseasignificantchangeinthereceivedsignalcarrierphase.,Two-PathModel,2、PropagationOverSmoothPlane,Howistwo-raymodelobtained?
Takenintoaccountthephasedifference,thereceivedsignalpoweris,Wherefandfaretheamplitudeattenuationandcarrierphaseshiftintroducedbythereflection.Iff1andf=for1,then,Ithadbeenderivedthat,Two-PathModel,2、PropagationOverSmoothPlane,Howistwo-raymodelobtained?
Andthecorrespondingpathlossis:
Two-PathModel,2、PropagationOverSmoothPlane,Iftheproductdismuchgreaterthantheproducthtandhr,wecanapproximatesinby,thus,Andthecorrespondingpathlossis:
Two-PathModel,2、PropagationOverSmoothPlane,Asaconsequenceoftheassumptionthatdht,hr,theangelissmall,andcancelsoutoftheequation,leavingittobeessentiallyfrequencyindependentItshowsaninversefourth-powerlaw,ratherthantheinverse-squarelawoffree-spacepropagation.Thispointstoafarmorerapidattenuationofthepowerreceived.Itshowstheeffectofthetransmitandreceiveantennaheightsonpropagationlosses.Thedependenceonantennaheightmakesintuitivesense.,Andthecorrespondingpathlossis:
Two-PathModel,2、PropagationOverSmoothPlane,Criticaldistance,DefineCriticaldistanceIfddc,thensignalpowerfallsoffwithd-4.Ifddc,thensignalpowerfallsoffwithd-2.,2、PropagationOverSmoothPlane,Anapproximationfordccanbeobtainedbysetting,Criticaldistance,2、PropagationOverSmoothPlane,Thecriticaldistancecanbeusedforsystemdesign.Forexample,ifpropagationinacellularsystemobeysthetwo-raymodelthenthecriticaldistancewouldbeanaturalsizeforthecellradius,sincethepathlossassociatedwithinterferenceoutsidethecellwouldbemuchlargerthanpathlossfordesiredsignalsinsidethecell.,Criticaldistance,2、PropagationOverSmoothPlane,f=900MHzht=50mhr=2mGt=1Gr=1transmitpowernormalizedhthr,Two-PathModel,2、PropagationOverSmoothPlane,Thisplotcanbeseparatedintothreesegments:
Forsmalldistance(ddcthesignalcomponentsonlycombinedestructively.,Two-PathModel,2、PropagationOverSmoothPlane,Example2.4Iftwo-raymodelissuitableforurbanmicro-cellwithht=10m,hr=3m,andfc=2GHz.Finddc.Whatifforindoormicrocellwithht=3m,hr=2m?
Findthepowerlossfordc.,Comparedwiththefreespacemodel?
-96dB-83dB,Howaboutd=3Km?
2、PropagationOverSmoothPlane,Thismodelisasimplebutverygoodray-tracingmodelAccurateinpredictinglarge-scalesignalstrengthoverlargedistancewithtalltowersUsedwidelyinpredictioncellularpropagationlossEffectivewhenasinglegroundreflectiondominatesthemultipathpropagationeffect,Two-PathModel,2、PropagationOverSmoothPlane,Free-SpacePathLossTwo-PathModel,2.4Large-scalepathlossandshadowing,Conclusions,Comparethefreespacepathlossmodelwiththetwopathmodel.,Problems,