第19讲 频带传输：MASK接收、判决准则、MPSK

1、123(,)mmmaaaMittgatscTii, 2 , 1 ,cos)()(11( )( )cosTcv ta gtt111( )cos2( )( )cosTcTcga gtttgttvE1110( )cos)2sTgTcEva gtt dta10( )( )2sTgiiiEss tt dta, 0( )0, else gsTsEtTgtTt 2sgiiiEsa 12( )( )( )cosiiiTcgs tstsgttEminss2gmnmnEdaa1( )( ),1,Niijjjs tstiM i11s,iiiNsss0( )( )sTininss tt dt1( )( )Njjjr

2、trt12,Nr rrr0( )( )sTiirr tt dt1( )( )( )( )( )Nijjjr ts tn tstn t00110010001( )( )( )( )( )( )( )( )( )( )( )( )( )( )( )( )( )sssssssNNTTijjiijjijjNTTjijijNTTTiiijijijijiirstn tt dttst dtn tt dtstt dtn tt dtstt dtstt dtn tt dtsn 121122,rNNNr rrsn snsn111( )()( )( )( )NNNjjjjjjjjjjr tsntstnt( )( )(

3、 )ir ts tn t( )r t1( )( )( )Njjjn tn tnt111( )( )( )( )( )( )NNNjjjjjjjjjr tstntn trtn t1( )( )( )Njjjn tn tnt( )r t00cov( )( )( )022iiiNNn t rttcov( )( )( )( )( )( ) ( )( )( )( )iiiiiiin t rEn tE n trE rE n t rn t E rE n t rE n tE r10101( )( )( )( )( )( )( ) ( )( )( )( ) ( )( )( )ssiiiNijjijNTiijjj

4、NTiijjjE n t rE n t sE n t ns E n tEn tntnEn t ndEnntE n t ndE nnt 0( ) ( )()()2nNE n t nR tt00( ) ( )( )( )2sTiiNE n t ndt 0000000000( )( )( )( )( ) ( )( )( )( ) ( )( )( )( )( )( )( )22ssssssssTTijijTTijTTijTTijijE nnEn tt dtndEn t ntdtdE n t ntdtdNNdd 00011( )( )( )( )( )22sNNTijjijijjjijNNE nnttd

5、 12( )( )( )cosiiiTcgs tstsgttE1( )( )( )( )( )iir ts tn tstn t0110( )( )( )( ) ()( )( )()ttisy tr th trh tdsnTtd 110211100()( )( )( )( )( )( )sssTsiTTiiy Tsndsdndsnr ( )( )iirr tt dt10( )( )( )0sTE nE n tt dt0( )2ND n 1( |)iiE r ss01( |)2iND r s210()101( |)irsNip r seN21102112010()11111000()1100002

6、min01( |)( |)111()24rsNrsNqsNP e sp r s dredrNrsNede dqNNderfcN20min212101( |)( |)()24dP e sp r s drerfcN110rsqN22( )txerfc xedtmin2112ssds 1122( ) ( |)() ( |)bPP s P e sP s P e s2min12011( |)( |)()224bdPP e sP e serfcN412341( |)( |)( |)( |)4PP e sP e sP e sP e s210()101( |)irsNip r seN2min03()4derf

7、cN2min4013()44dPerfcN2min01()4MdMPerfcMNmin2gdE01()2gEMerfcMN220( )2sTgiiiEEs t dta11MaviiEEM2112MgavavsiiEEP TaM261avsgP TEM21iaiM 2KM 2logKM2(log)avbbavsEKEM EP T22003(log)11()()2(1)gbMEM EMMPerfcerfcMNMNM1111111( ) ( |)( ) (|)( ) 1(|)( ) 1( |)( )( )( |)1( ) ( |)iiiMMMiiiiiiiMMiiiiiDiiMMMiiiiiDDii

8、iPP s P e sP s P sssP sP sssP sp r s drP sP sp r s drP s p r s dr ( ) ( |)iiP s p r s( ) ( |)iip s p r sarg max( ) ( |)isiisp s p r s2|P sr1|P sr1212|ssP srP sr112212,|,|sP srP srssP srP sr 11()(|)( )p ABp A Bp B111()() (|)p ABp A p B A22()(|)( )p A Bp ABp B222()() (|)p A Bp Ap B A1122( ) (|)() (|)p

9、 Bp A p B Ap Ap B A( 1122|iiiiP s rP sP r sP srP rP sP r sP sP r s 111|P sP r sP srP r 222|P sP r sP srP r( ) ( |)iiP s P r sarg max( ) ( |)isiisP s P r s12( )()()MP sP sP sarg max( |)isisP r s( |)iP r s112200( )( )( )( ) ssTTiiiiss tt dtss tt dt11112,sss22122,sss1111221122112222,( ),( )sn sns tr rs

10、n sns tr20()01( |)ir sNip r seNminidrs2min001( |)dNip r seNML准则的最佳接收就是比较平面准则的最佳接收就是比较平面上接收到的点上接收到的点( , )分别到两个可分别到两个可能发送的点能发送的点(, )和点和点(, )的的距离，谁近就判发谁距离，谁近就判发谁22111212()()rsrs22121222()()rsrs( |)( |)iiiDP r sp r s dr2min01()4MdMPerfcMN2(1)(1,2,) iiMM2(1)( )( )cosiTcis tgttM2(1)2(1)2(1)( )( )cos( ) co

11、scossinsiniTcTcciiis tgttgtttMMM2(1)cosiciaM2(1)sinisiaM2(1)( )( )cos( )cos( )siniTcicTcisTcis tgtta gtta gttM221isicaa2222222222000022220011( )cos( )sin( )( )2211()( )( )222ssssssTTTTsicTcisTcicTisTTTgicisTTEa gttdta gttdta gt dta gt dtEaagt dtgt dt2( )sTsEgtT2( )cossinsiicciscsEs tatatT2(1)cosicia

12、M2(1)sinisiaM2(1)cos88icia2(1)sin88isia1222( )cos( )sin ccssttttTT 112212( )( )( )22cossiniiiicicsss tststststTT1100( )( )2cossincosssTiiTsiccisccssicss tt dtEatattdtTE a220( )( )sTiisisss tt dtE a11222( )( )( )cossinsiiiicciscsEs tststatatT12,iiisicsissssE aE a2(1)cos88icia2(1)sin88isia( )( )( )ir

13、ts tn t12112212,iiisicsisr rsn snE anE anrsn110( )( )sTrr tt dt220( )( )sTrr tt dt2(1)sinisiaM2(1)cosiciaM21arctanarctanisiiciasas12,iiisicsissssE aE a21arctanrrr12,r rr(,)MM(|)rips 12112212,iisicsisr rsn snE anE anr,0sE1s12,sEn nr11( |s )sE rE21(|s )0E r201121( |s )(|s )2rND rD r22121 21222212122()1(|)exp2221exp22srrssrrrErp rrsrrrEE1122( )( )( )r trtrt2212Vrr21arctanrrr21tanrrr1cosrrV