BPSKModulationoverAWGNChannelsBPSK调制在AWGN信道

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1、I.PreviouslyonIETBasicCommunicationModelinAWGNDetectionPerformance:CorrectDetectionS=S*ErroneousDetectionS≠S*+SNChannelModelR=S+NTXRRXDetectionS*BPSKModulationoverAWGNChannelsESEnergyperSymbolBPSKModulationoverAWGNChannelsGaussianNoise0Receivedsignaldistr

2、ibutiongiventransmittedBPSKModulationoverAWGNChannels0BPSKModulationoverAWGNChannelsErrorCalculationgiventransmitted0SymmetryofGaussianDistributionLetReceivedsignaldistributiongiventransmittedBPSKModulationoverAWGNChannels0BPSKModulationoverAWGNChannelsErr

3、orCalculationgiventransmitted0LetBPSKModulationoverAWGNChannelsSignalPower&SymbolErrorPerformance0BPSKModulationoverAWGNChannelsSignalPower&SymbolErrorPerformance0BERofPSKoverAWGNChannelsNotes:DefineN0TotalNoisePowerN0/2NoisePoweroverCosineaxis,i.e.,σ2=N0

4、/2EachsymbolcorrespondstoasinglebitEb=ESPb=PeQPSKModulationoverAWGNChannelsESEnergyperSymbolSymbolErrorgiventransmitted:NoiseonCosineaxis

5、2NoisePoweroverSineaxis,i.e.,σ2=N0/2EachsymbolMOSTLIKELYcorrespondstoasinglebit(GrayCoding)Eb=ES/2Pb≈Pe/211010010GrayCoding:NeighborconstellationspointsvaryinonlyonebitUnionBoundforQPSKBERPerformanceESEnergyperSymbol1243Giventransmitted:UnionBoundforQPSK

6、BERPerformanceESEnergyperSymbol12Giventransmitted:d12:Euclidiandistancebetweenconstellationpoints1&2P12:Probabilityreceivedsignalclosertoconstellationpoint2thanconstellationpoint1givenconstellationpoint1transmittedUnionBoundforQPSKBERPerformanceESEnergyp

7、erSymbol1Giventransmitted:d13:Euclidiandistancebetweenconstellationpoints1&3P13:Probabilityreceivedsignalclosertoconstellationpoint3thanconstellationpoint1givenconstellationpoint1transmitted3UnionBoundforQPSKBERPerformanceESEnergyperSymbol1Giventransmitte

8、d:d14:Euclidiandistancebetweenconstellationpoints1&4P14:Probabilityreceivedsignalclosertoconstellationpoint4thanconstellationpoint1givenconstellationpoint1transmitted4UnionBoundforQPSKBERPerformanceESEnergyp