雷达系统(第2章)雷达信号检测

1、1 422max3min(4 )tPGRS maxRRS N tP ooSN( )s t( )g t( )in tLTI( )( )( )GSHIFT1( )( )( )2j tg tSHed0tt( )g t20( )oSg tFT( )( )s tS FT( )( )g tG 102N20( )4oNNHd0220201( )( )( )2( )4j toooSHedg tSNNNHd( )HooSN222( ) ( )( )( )xydxdyd*( )( )xKy0222001( )( )22 ( )4j tooSedHdSENNNHd0220201( )( )( )2( )4j too

2、oSHedg tSNNNHd00*( )( )( )j tj tHK SeKSe0*( )( )j tHKSe0max2ooSENN0*( )( )j tHKSe()( )jHe ()( )jSe 0()()( )( )jtjHeK Se 0( )( )t ( )( )HK SK0K ( )( )HK SK0K ( )HooSN 0t0( )( )t ()()1 ( )( )( )2jjj ty tHeSeed 2()()1( )2jtSed 02()1( )2jt tSedooSN 1( )( )2j th tHed0*( )( )j tHKSe0()*( )( )2jttKh tSed*1

3、1010 ( )( )()()h tKs tttt dtK s tt( )s t*()st0tK( )0h t 0t ( )s t( )0s t 0sttt0t0t( )h t( )0h t 0t 00stt0stt0stt0t( )h t*00(), 0( )0, Ks tttth t 其余0(0, )t(0, )st(0, )st0sttooSN maxooSN0*( )( )j tHKSemaxooSN( )1, 0sx ttt m/sv( )( )exp( 2)dx tx tjf tdf0*( )( )j tHKXe( )()dx tX ff( )( )x tX f()dX ff( )

4、H1( )x t2( )x t12( )( )()xCx t x tdt12( )( )x tx t( )xC12( )( )x tx t( )xC( )( )( )x ts tn t( )( )( )()()xCs tn ts tn tdt( )( ) ()( ) () ( ) ()( ) ()xCs t s tdts t n tdtn t s tdtn t n tdt( )( )( )( )ssnnsnCCCC( )sC( )nC( )snC( )nsC( )( )0snnsCC( )( )( )xsnCCC( )( ) ()nCn t n tdt( )(0)CC( )()CC0lim(

5、)0nC12( )( )()xCx t x tdt12( )()( )( )( ) rx ts ttn tx ts t2rtR c1212( )( )()Cx t x tdt12( )( )x tx t1212( )( )() ()( )() () ()( ) () ()( )rrsrsnCx t x tdts ttn ts tdts tt s tdtn t s tdtCtC( )s t( )x t12()rCtrt12max()rCt2rtR cRrt2cR( )s t*00( )()()h tK s tts tt( )( )( )x ts tn t( )n t( )( ) ()y thx

6、td0() ()s tx td0()xsCtt( )(), 0, 1, 2,.Ku ttKTK 1( ,)() (/)ddKKfKTfK TT ( )fU frectB( ,0), , , (0,), , dedfeAWfAT 2, 0t2 ( )2, 2 0, ATf tATtT 其余0tT0/ 2N0/ 2N0( )coscos,tTs tArecttTT01T( )( )( )x ts tn t01: ( )( ): ( )( )( )Hx tn tHx ts tn t0H( )( )x tn t1H( )( )( )x ts tn t0H1H1H0H1()P H0()P H10()1(

7、)P HP H ( )s t( )s t( )s t( )s tdPfaPLPT( )s t( )n t0H1H01: ( )( ): ( )1( )Hx tn tHx tn t ( )x txTx0011 ( |) ( |)sxHp x HHp x Hx0H1H0D1D0( |)?p x H1( |)?p x H11(|)P DH10(|)P DH01(|)P DH00(|)P DH0H222/(2)/2011( |)22xxp x Hee1Hx222() /(2)(1) /2011( |)22xxp x Heex222/(2)/2011( |)22xxp x Hee222() /(2)(1

8、) /2111( |)22xxp x Hee0( |)p x H1( |)p x H0 x10D1D222/(2)/2011( |)22xxp x Hee0( |)p x H0 x1D1100(|)( |)faDPP DHp x H dx0011(|)( |)LDPP DHp x H dx1( |)p x H0 x10D222() /(2)(1) /2011( |)22xxp x HeefaPLPdPfaP10(|)faPP DH11(|)dPP DH01(|)LPP DH0110(|)(|)ePP DHP DH0111(|)1(|)P DHP DH xn12(,.,)Tnx xxxn0D1D

9、0D1DN12( ,.,| )Np x xxs12( ,.,|0)Np x xx11212( ,.,|0)faNNDPp x xxdx dxdx 11212( ,.,| )dNNDPp x xxs dx dxdx ：01 ()edfaPPP 112012121( ,.,| )( ,.,|0)NNNDp x xxsp x xxdx dxdx 11201212( ,.,| )( ,.,|0)maxNNNDp x xxsp x xxdx dxdx mineP 12012( ,.,| )( ,.,|0)0NNp x xxsp x xx12012( ,.,| )( ,.,|0)0NNp x xxsp x

10、 xx0D1D12012( ,.,| )( ,.,|0)0NNp x xxsp x xx12012( ,.,| )( ,.,|0)0NNp x xxsp x xx012012 ( ,.,| ) ( ,.,|0)NNp x xxsp x xx 1212( ,.,| )( | )( ) ( |0)( ,.,|0)NNp x xxspspp x xxxxx( )x()ccff0E 202/ 2cf N0 T( )x t2cNf T21sin2()2( )22()2ccf Tckccckf tfkx txkff tf()ccff0E 20cf N0 T222 2kkccckkckkkxsnsnfffx

11、knnf kx221(0)exp22kkxp x22()1()exp22kkkxsp x sN12(0)( ,.,0)Npp x xxx12()( ,.,)Npsp x xxsxN12(0)( ,.,0)Npp x xxx12()( ,.,)Npsp x xxsx12,.,Nx xx12 (0)(0) (0)(0)Npp xp xp xx22111exp22NkNkx12()() ()()Npsp x s p x sp xsx22111exp()22NkkNkxs22111(0)exp22NkNkpxx22111()exp()22NkkNkpsxsx( )x(| )( )(|0)psxpxxN

12、( )x(| )( )(|0)psxpxx22221111exp()exp22NNkkkkkxsx22221111exp()22NNkkkkkxsx222221111exp(2)22NNkkkkkkkxx ssx2221111exp222NNkkkkkx ss( )x(| )( )(|0)psxpxx2221111exp222NNkkkkkx ss2110011exp2NNkkkkkccx ssf Nf N20( )cf N211002expNNkkkkkttx ssNN2000021exp( ) ( )( )TTs t x t dts t dtNN( 1 (2)ctf ( )x(| )( )

13、(|0)psxpxx0002exp( ) ( )TEs t x t dtNN00 0001( ) ( )ln2Ts t x t dtEN0001( ) ( )ln2Ts t x t dtEN2000021exp( ) ( )( )TTs t x t dts t dtNN0001( ) ( )ln2Ts t x t dtEN0001( ) ( )ln2Ts t x t dtEN(| )( )(|0)psxpxx( )x0( )( )cos( )ss ta ttt00( )( )cos( ) cos( )sin( ) sinsss ta ttta ttt( )s t( ,)ss t( )cos(

14、)sinIsQss tst( )x20( )( ,)ssxxd20( |) ()sssxpd( |)sx0( ) ( ,)Tsx t s tdt00 ( )( )cos( )( )sinTTIsQsx t s tdtx t stdt cossinIsQsyy cos()s0( ) ( ,)Tsx t s tdt00 ( )( )cos( )( )sinTTIsQsx t s tdtx t stdt cossinIsQsyy cos()s0( )( )TIIyx t s t dt0( )( )TQQyx t st dt22IQyy1tanQIyy( )Is tT( )QstT0( ) ( ,)T

15、sx t s tdt cos()s0002( |)exp( ) ( ,)TssExs t x tdtNN002( |)exp cos() ssExNN002( |)exp cos() ssExNNs(0,2 )s20( )( |) ()sssxxpd1()2sp020012expcos()2ENssedN002ENeIN20( )( |) ()sssxxpd2000212expcos()2ssIdNN0000 2( ) ENxeIN 000002E NE NeINe 02IN0002IN0002IN02IN001( )f t1( )f t1001( )cos()nnf taant022ppfT

16、2021(1),ppadtTT200212cos()sinc(2)npppant dtnTTT2( )f tppN T21, / 2( )0, else pptN Tf t3( )f tc3( )coscf tAt123( )( )( )( )f tf t f t f t00112cossinc/ 2coscnpAntntT / 2pptN T( )f t0100( )sinc ()sinc22 sinc ()sinc ()22pppcnpppppccA NN TFnTN TN Tnn 0100 sinc ()sinc22 sinc ()sinc ()22pppcnpppppccA NN Tn

17、TN TN Tnn pT1pT( )Fcf1ppN T1ppN T1ppN T( )F( )H( )f t( )F12( )( )( )FFF( )H12( )( )( )HHH0*111( )( )j tHK Fe0*222( )( )j tHK Fe1( )S20( )()Nrnh ttnT22020( )( )exp2()exp2sin(21) exp2exp2sinNrnNrrrnrHfh tjft dttnTjft dtNfTjfnTjNfTfT(21)N 2sin(21)( )exp2sinrrrNfTHfjNfTfT1rT(21)N 1(21)rNT1( )Hf2( )HfrnT

18、N( ) x100( )cos( )NrnntnTs trecttt010002( |)exp( ) ( )TNExs t x t dtNN E10NnnEEnE( )x t( )( )( )( ) s tn tx tn t0( )cos( )nns ttt10( )( )cos( )sinNInnQnnns tstst010002( |)exp( ) ( )TNExs t x t dtNN 10( )( )cos( )sinNnInnQnnns tstst1000022( ) ( )cos()NTnnnns t x t dtNN221 2()nIQyy22IQ010002( |)exp( ) ( )TNExs t x t dtNN 1010002( |)expcos()NNnnnnExNN 22010100100000011( )( |)222 ex