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AnalogTransmissionSystemsCHAPTER9Digitalsystem:telecommunication,e.g.voice,dataAnalogsystem:microwavemulti-signals,videodistribution,radarsignalprocessingThegeneraloperationalaspectsandcomponentsCarrier–to–noiseratio,quantumnoiseeffectSubcarriermodulationtech.,harmonicandintermodulation(IM)distortionWewilldiscussthefollowingAnalogTransmissionSystemsCHNoisecontributorsinananaloglinkOverviewofAnalogLinksCHAPTER9.1Analogmodulationtech.AM,FM,PMPhotodetectorwithgoodlinearnityNoisecontributorsinananaloCarrier-to-NoiseratioCHAPTER9.1CNR=CarrierpowerSource+photodiode+amp+intermodulationnoiseP(t)=Pt[1+ms(t)]m=Ppeak/Pt

Carrier-to-NoiseratioCHAPTERCarrier-to-NoiseratioCHAPTER9.1<i2source>=RIN(A0P)2BRIN=<(ΔPL)2>/P2L<i2N>=2q(Ip+ID)M2F(M)BC0.5(mA0MP)2

NRIN(A0P)2B+2q(Ip+ID)M2F(M)B+4KBTBFt/Req<i2T>=4KBTBFt/Req=Carrier-to-NoiseratioCHAPTERExamplesof

RINeffectsRelativeIntensityNoiseCHAPTER9.2.3RIN∞(IB/Ith-1)-3Examplesof

RINeffectsRelatCNRversusopticalpowerlevelLimitingConditionsCHAPTER9.2.5C0.5(mA0MP)2

N4KBTBFt/Req)1=(C0.5m2A0PN2qF(M)B)2=(C0.5(mM)2

NRINB)3=(CNRversusopticalpowerlevelStandardFDMtechniqueMultichannelTransmissionTech.CHAPTER9.3Forexample.CATVnetworksfrequencyrange:50~88MHz,120~550MHzTech:amplitude-modulation-vestigial-sideband(AM-VSB)Channelbandwidth:6MHzStandardFDMtechniqueMulticNonlinearDeviceCHAPTER9.3NonlinearDeviceCHAPTER9.3ProvidedanumberMofsimultaneouslypresentsinusoidslyingbetween,thesecond-ordertermsatfrequenciesappear.ProvidedanumberMofsimultaIngenerala1>>a2>>a3=>Itseemsthesecond-ordertermsaremoreharmfulthanthethirdterms.IfwemakewillliecompletelyoutsidethebandIngenerala1>>a2>>a3

two-tonethird-orderterms(becausethereareonlytwodistinctfrequencies)triple-beat(CTB)Define:Compositesecondorder(CSO)distortion

Compositetriple-beat(CTB)distortionIngeneralCTBdistortionislargerthanCSOdistortion.two-tonethird-ordertermsIMproductsonther-thcarrierfor2fi-fj

D1,2=1/2{N-2-1/2[1-(-1)N](-1)r}IMproductsonther-thcarrierforfi+fj-fkD1,1,1=r/2(N-r+1)+1/4{(N-3)2-5-1/2[1-(-1)N](-1)N+r}Two-tonearespreadthroughthepassband,Thetriple-beatbeconcentratedinthemiddleofpassbandIMproductsonther-thcarrierN1234567810200301041221524442646776476910111096891214151514129Thenumberofthird-ordertriple-beatIMrN1234567810200301041221524442rN1234567810200310141111521212622222273232323833333333Thenumberofthird-ordertwo-toneIMrN1234567810200310141111521212PredictedCSOfor60CATVchannelsPredictedCSOfor60CATVchanPredictedCTBfor60CATVchannelsPredictedCTBfor60CATVchaMultichannelFMCHAPTER9.3ForAMC/N>40dB,verystringentrequirementsonlaserandreceiverlinearityForFM36~44dBThereduceC/NwillmakeFMlesssusceptibletolaserandreceiverthanAMMultichannelFMCHAPTER9.3ForARINversusopticalmodulationindexRINversusopticalmodulation

EffectsOfNonlinearityIntermodulation(IM,two-tonetest)EffectsOfNonlineaFig.9-11:PowerbudgetvsopticalmodulationindexFig.9-11:Powerbudgetvsopt4.3.2OpticalSinglesidebandModulation4.3.2OpticalSinglesidebandAnalogTransmissionSystemsCHAPTER9Digitalsystem:telecommunication,e.g.voice,dataAnalogsystem:microwavemulti-signals,videodistribution,radarsignalprocessingThegeneraloperationalaspectsandcomponentsCarrier–to–noiseratio,quantumnoiseeffectSubcarriermodulationtech.,harmonicandintermodulation(IM)distortionWewilldiscussthefollowingAnalogTransmissionSystemsCHNoisecontributorsinananaloglinkOverviewofAnalogLinksCHAPTER9.1Analogmodulationtech.AM,FM,PMPhotodetectorwithgoodlinearnityNoisecontributorsinananaloCarrier-to-NoiseratioCHAPTER9.1CNR=CarrierpowerSource+photodiode+amp+intermodulationnoiseP(t)=Pt[1+ms(t)]m=Ppeak/Pt

Carrier-to-NoiseratioCHAPTERCarrier-to-NoiseratioCHAPTER9.1<i2source>=RIN(A0P)2BRIN=<(ΔPL)2>/P2L<i2N>=2q(Ip+ID)M2F(M)BC0.5(mA0MP)2

NRIN(A0P)2B+2q(Ip+ID)M2F(M)B+4KBTBFt/Req<i2T>=4KBTBFt/Req=Carrier-to-NoiseratioCHAPTERExamplesof

RINeffectsRelativeIntensityNoiseCHAPTER9.2.3RIN∞(IB/Ith-1)-3Examplesof

RINeffectsRelatCNRversusopticalpowerlevelLimitingConditionsCHAPTER9.2.5C0.5(mA0MP)2

N4KBTBFt/Req)1=(C0.5m2A0PN2qF(M)B)2=(C0.5(mM)2

NRINB)3=(CNRversusopticalpowerlevelStandardFDMtechniqueMultichannelTransmissionTech.CHAPTER9.3Forexample.CATVnetworksfrequencyrange:50~88MHz,120~550MHzTech:amplitude-modulation-vestigial-sideband(AM-VSB)Channelbandwidth:6MHzStandardFDMtechniqueMulticNonlinearDeviceCHAPTER9.3NonlinearDeviceCHAPTER9.3ProvidedanumberMofsimultaneouslypresentsinusoidslyingbetween,thesecond-ordertermsatfrequenciesappear.ProvidedanumberMofsimultaIngenerala1>>a2>>a3=>Itseemsthesecond-ordertermsaremoreharmfulthanthethirdterms.IfwemakewillliecompletelyoutsidethebandIngenerala1>>a2>>a3

two-tonethird-orderterms(becausethereareonlytwodistinctfrequencies)triple-beat(CTB)Define:Compositesecondorder(CSO)distortion

Compositetriple-beat(CTB)distortionIngeneralCTBdistortionislargerthanCSOdistortion.two-tonethird-ordertermsIMproductsonther-thcarrierfor2fi-fj

D1,2=1/2{N-2-1/2[1-(-1)N](-1)r}IMproductsonther-thcarrierforfi+fj-fkD1,1,1=r/2(N-r+1)+1/4{(N-3)2-5-1/2[1-(-1)N](-1)N+r}Two-tonearespreadthroughthepassband,Thetriple-beatbeconcentratedinthemiddleofpassbandIMproductsonther-thcarrierN1234567810200301041221524442646776476910111096891214151514129Thenumberofthird-ordertriple-beatIMrN1234567810200301041221524442rN123456781020031014111152121262222227323232383333333

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