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移动笔试知识点之--(通信类)通信原理知识点.pdf

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1、-https:/ 2 /offer-https:/ 2 3 4 5 1 .2,1838 1876 1878 211896 1906 2030 2050 2080 (1)(2)1 /offer.1878 18961896 2121-https:/ NN baudBd 2 bit/s/M 3 B 300 baud21 2 T 1.2.sR1/ssRTSTbRs2logbRRMbsRR/bbRB162162216(log 16)4 3001200(/)300(/)bSbSSRRbit sRRRbit slimsessnsnpnlimbebbnbnpn()f t0001()(cossin)nnnf t

2、aantbnt00()cos()nnnf tcnt/offer s2s2logRRMs2logs2(log 16)4 3001200(/)bS162162bSS2216RRRbit sbSS2216(log 16)4 3001200(/)162(log 16)4 3001200(/)162162/300 baud300 baud2216(log 16)4 3001200(/)RRRbit s2216300(/)(log 16)4 3001200(/)RRRbit sslim(log 16)4 3001200(/)(log 16)4 3001200(/)-https:/ tj tFf t edt

3、f tFed()f t12()Eft dt2221lim()TTTPft dtT221()()2ft dtFd22221()TnTnft dtFT()f t()f t220222211()d()()2()22()111lim()d limd()()22T/TT/TTEfttFdEdE f dfFPf ttPdP f dfTT()E()P22()()()()limTTEFFPT1()f t2()f t1212()()()Rtff td1()f t2()f t2121221()lim()()TTTRtff tdT()()()R tff td221()lim()()TTTR tff tdT0()jn

4、tnnf tF e0221()TjntnTFf t edtT/offer2ft dtFdft dtFd2()ft dtFdft dtFd()()ft dtF()11111TTTT2211112211()d()()d()111111()d()()d()222222221112lim()d limdlim()d limdlim()d limdlim()d limd111111111111lim()d limdlim()d limdTTTTlim()d limdlim()d limdlim()d limdTTlim()d limd22222222()()()()()()()()()()()()()(

5、)()()()()111111F11122222222EfttFdEdE f df22EfttFdEdE f dfEfttFdEdE f df22111111lim()d limd111lim()d limd22lim()d limd2222lim()d limdlim()d limd222222()()P P()()()2()T()0111220()2()0 0()2()()2()011122-https:/ 1Rt=R-t2R0|Rt|3R0 -1B,202()90%(9599)BF fdfE 202()90%(9599)BTFfdfP23dB3()/2(0)BE f dfE()/2(0)

6、BP f dfP1.lim(/)AAnPnn(,)lim(/)ABnP A Bnn(|)(,)/()P B AP A BP A (,)(|)()(|)()P A BP B A P AP A B P B2.(1)XX X X1X2XnX1X2Xnn(2)P(Xx)Xx XX XpX(x)()()xXXFxpx dx pX(x)XXYXxYy1221()()()RtFF2()()()()R tFFF()()R tE2()()lim()/TTR tPFT()()XFxP Xx,(,)(,)X YFx yP Xx Yy/offerB,B,2FfdfFfdf22()P P3d3dB B()/2(0)()

7、/2(0)BP f dfPBP f dfPlim(/)(,)lim(/)(,)lim(/)(,)lim(/)(,)lim(/)(,)lim(/)(,)lim(/)(,)lim(/)(,)lim(/)(|)(,)/()(|)(,)/()P B AP A BP AP B AP A BP A(|)(,)/()(|)(,)/()(|)(,)/()90%(9599)90%(9599)90%(9599)90%(9599)90%(9599)BP f dfPBP f dfP()/2(0)()/2(0)()/2(0)(,)lim(/)(,)lim(/)(|)(,)/()(|)(,)/()(|)(,)/()(|)

8、(,)/()(|)(,)/()(,)(|)()(|)()(,)(|)()(|)()P A BP B A P AP A B P BP A BP B A P AP A B P B(,)(|)()(|)()(,)(|)()(|)()(,)(|)()(|)()-https:/ 1pX(xi)(i=1,2,K)XxiXpX(x)2 aX=EX 3 XY,()()()()(,)XYXYX YC XYE XaYaXaYapx y dxdy XY XYXY 1EX(t)S x1(t),x2(t),xi(t)ixi(t)iX(t)SX(t)tX(t)2,(,)(,)X YX Ypx yFx yx y1()KXi

9、XiiaE Xx px()XXaE Xxpx dx222()()()XXXXD XE XaXapx dx223221()20()024()()263aaaaaaaaaxaf xaxxxE Xxf x dxdxaaxxaD XxE Xf x dxdxaa22()()()()XYXYXYE XaYaC XYE XaE Yax1(t)tx2(t)t()/offer()()()()()()(,)()()()()(,)XY()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()

10、()()(,)()()()()(,)()()()()(,)()()()()(,)222XX()()()222()()()()()()()()()E XaE Ya()()()()()()20aE Xxf x dxdx()()()()XYX YXYX YXaYapx y dxdyXaYapx y dxdy()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()()()(,)()()()()(,)22()()22XY()()()()22()()()()()()()()XaYapx y dxdyX

11、aYapx y dxdy()()()()(,)()()()()(,)()()()()(,)aaxaxxxE Xxf x dxdxaxaE Xxf x dxdxE Xxf x dxdxE Xxf x dxdxE Xxf x dxdxD XxE Xf x dxdx()()D XxE Xf x dxdx()()()()()()()()-https:/ x tP X txX(t)1111111(,)/(,)F x txp x tX(t)X(t)n112121122(,;,)(),(),()nnnnF x xx t ttP X tx X txX tx112121121212(,;,)(,;,)nnnnn

12、F x xx t ttp x xx t ttx xxX(t)n31X(t)t1t12X(t)22212211122111221()()()()()(,)(,)2()(,)()(,)(,)2()(,)()(,)(,)()tD X tEX tE X txa tp x t dxx p x t dxxa t p x t dxa tp x t dxx p x t dxa txp x t dxa tp x t dxx p x t dxa t31()()(,)a tE X txp x t dx12112211222121212(,)()()()()()()(,;,)XCt tEX ta tX ta txa

13、txa tpx x t t dx dx1212122121212(,)()()(,;,)XRt tE X t X tx x px x t t dx dx/offert t1 1X(X t)X X(X X X t t)(,;,)(),(),()(,;,)(),(),()1122(,;,)(),(),()(,;,)(),(),()(,;,)(),(),()1122(,;,)(),(),()(,;,)(),(),()(,;,)(),(),()1122(,;,)(,;,)nnnn(,;,)n(,;,)(,;,)a tE X txp x t dx()()(,)()()(,)t t1 1X X(X X X

14、 t t)tD X tEX tE X txa tp x t dxtD X tEX tE X txa tp x t dx()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)22222211221122(,;,)(),(),()(,;,)(),(),()11221122(,;,)(),(),()(,;,)(),(),()11221122(,;,)(),(),()(,;,)(),(),()(,;,)(),(),()(,;,)(),(),()1122112211221121211212(,;,)(,

15、;,)(,;,)(,;,)(,;,)11212112121121211212(,;,)(,;,)(,;,)a tE X txp x t dx()()(,)(,;,)(),(),()(,;,)(),(),()nn(,;,)(),(),()(,;,)(),(),()(,;,)(),(),()(,;,)(,;,)nn(,;,)tD X tEX tE X txa tp x t dxtD X tEX tE X txa tp x t dx()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)2222111

16、11122222222221111112222 (,)2()(,)()(,)(,)2()(,)()(,)(,)2()(,)()(,)222211111111122221111112222221111112222(,)2()(,)()(,)(,)2()(,)()(,)(,)2()(,)()(,)2222111111-https:/ xx t ttpx xx ttt222211()()()(,)()()tD X txa tp x t dxxap x dx12121221212(,)()()(,;)()R t tE X t X tx x px xdx dxR2(0)()RE Xts)()(RR)0(

17、)(RR()R2()()REX t)()0(RR2)()0(RR)cos()(0tAts0,A201111111(,)(,)(,)()p x tp x tp x tp x21212212102021212112121010212(,;,)(,;,),(,;,)(,;,)(,;)p x x t tp x x ttttp x x t tpx x ttpx x11()()(,)()a tE X txp x t dxxp x dxa000002200002220220()cos()coscossinsin)coscos sinsin)11coscossinsin022()()()cos()1 cos2

18、()22a tE AtAEttAtEAtEAtdAtdtEs ta tEAtAAEt/offer()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()tD X txa tp x t dxxap x dxtD X txa tp x t dxxap x dx()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()1212(,)()()(,)()()1212(,)()()(,

19、)()()1212(,)()()(,)()()(,)()()12112121010212,(,;,)(,;,)(,;)121121210102121211212101021211()()(,)()111111()()(,)()()()(,)()111111111111()()()(,)()()()()()(,)()()()()()(,)()()111111tD X txa tp x t dxxap x dxtD X txa tp x t dxxap x dx()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()()()

20、()(,)()()()()()(,)()()()()()(,)()()12(,)()()(,)()()1212112121010212,(,;,)(,;,)(,;),(,;,)(,;,)(,;)1211212101021212112121010212,(,;,)(,;,)(,;),(,;,)(,;,)(,;),(,;,)(,;,)(,;)1211212101021222221111()()()(,)()()()()()(,)()()1111112222222222()()()(,)()()()()()(,)()()()()()(,)()()111111()()()(,)()()()()()(,

21、)()()()()()(,)()()()()()(,)()()()()()(,)()()()()()(,)()()1221212x px xdx dxRx px xdx dxR1221212(,;)()(,;)()(,;)()1221212122121212212121221212(0)()(0)()(0)()(0)()(0)()(0)()(0)()(0)()()()(R R)(-https:/ t tE AtAtAEtAAEtAR2()()(,)(,)()()a ttR t tR t tRs t)(R()PX(t)1()()()()2jjXXPRedRPed()X t()Y t()()()(

22、)()()()Y tX th thX tdXh td 1()Y t()(0)XE Y taHt()()XaE X tE X t ()()j tHh t edth(t)2()Y t1211(,)()()()()()()YXYR t tE Y t Y th u h v Ruv dudvR123()Y t2()()()()()()YXXPHHPHP4()Y t/offer(,)()(,)()(,)()(,)()(,)()(,)()(,)()(,)()(,)()(,)()(,)()()()P P()XXXXjjjjjjjjjj()()PRedRPedPRedRPed()jjjj()XXXX()jjjj

23、()()()()()()()()()()()()()()Y tX th thX tdXh tdY tX th thX tdXh td()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()jjjjXXXXjjjj()()PRedRPedPRedRPed()()()jjjj()()()XXXX()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()

24、()()()()()()()()()()()()()()()()()()()()()()()()()()()()Y tX th thX tdXh tdY tX th thX tdXh td()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()(0)()(0)X X()(0)()(0)()(0)()(0)()(0)()(0)()(0)()(0)()(0)()(0)()()()()()()()()(

25、)()()()()()Y tX th thX tdXh td()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()Y tX th thX tdXh td()()()()()()()()()()()()()()()()()()()()()()()j tj tHh t edtHh t edtj

26、 tj tj tj tj tj tj t-https:/ xX2 p(x)XC2221()1()expdexpd2222C aCxazxaP XCxzzQ2/21()ed2yQy ()CaP XCQ1.cff0cf()()cos()()0XcXXX tAtttAt()()cos()cos()sin()sin()cos()sinXXcXXcIcQcX tAtttAtttXttXtt()()cos()()()sin()IXXQXXXtAttXtAtt()X t21()X t()()cos()sin0IcQcE X tE XttE Xtt()0()0IQE XtE Xtp(x)xa21/offer2

27、222222222221()11()122221()11()11()11()11()11()122222222222222221()11()11()11()11()11()11()11()11()121()11()11()1222222222222222222222222222222222222222222221()ed()ed12 2QyQy()ed()ed()ed()ed1 12()ed()ed()()P XCQP XCQ()()()P XCQP XCQ()()()()2222expdexpd222222expdexpd2222222222222222expd222222222222222

28、22222222222xaz zxaffff f()()cos()()0()()cos()()0XcXXXcXX()()cos()()0()()cos()()0()()cos()()0()()cos()()0()()cos()()0()()cos()()0()()cos()()0()()cos()()0()()cos()()0()()cos()()0-https:/ 222(0)(0)(0)XIQXIQRRR cc()(+),()()0,XXIQPPWWPP1 Modem2:1)()2)3)4)()k t()ie t0()()()()ie tk t e tn t():k t()k t=()k

29、t():n t1 0()2nPn n0“/”W/Hz 10()()()/2nRFPnt /offer(2)2)3)3)()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()-https:/ n0n0/2(2)-f0f000()20nnffPf001200000000sin()()()22fjfnfnnRFPedff nSa0n0/2 cBfcB:1 2 3 40()()cos()sin ()22()20 ()cIcQcccnnfBn tn ttnttn tnfBffBP fP f022200(2)()()()222()(

30、)()22()()()()2cos()()ccnBcBcBjtjtncnPDDBBtDSaBSaBtn tnR tBSaBt eBSaBt en Bt SaBt/offer0000000 02222nn00002222220n n0 0/2 ()()cfBfBcn tn ttntt ()()fBfBfBcfBfBfBfcB:fcB:()()cos()sin()()cos()sin()()()()IcQcIcQc()()cos()sin()()cos()sinn nn n()()cos()sin()()cos()sin()()cos()sin()()cos()sin()()cos()sinP f

31、P f()()()n n ()()()n n()()cos()sin()()cos()sin()()cos()sin()()cos()sin()()cos()sin()()cos()sin()()cos()sin()()cos()sin()()cos()sinIcQcIcQcccccn tn ttnttn tn ttnttIcQcIcQcfBffBfBffBfBffB2222ccccIcQcIcQcfBffBfBffBfBffBfBffB2222(2)()()()(2)()()()n n(2)()()()(2)()()()(2)()()()(2)()()()(2)()()()(2)()()()

32、(2)()()()(2)()()()(2)()()()(2)()()()(2)()()()(2)()()()(2)()()()(2)()()()-https:/ f dfdfdfn B022200(4)()01()1()expexp2222n tn Bxaxp xn Bn B1 xi()iP x 211()loglog()loglb()bit()()iiiiiI xP xP xP xP x2 Nini()iP x1log()NiiiInP x 1()()log()NiiiH xP xP x ()IH xn max111loglogNiHNNNABCD00011011ABCD5ms1)2)111

33、354410ABCDPPPP 110ms322110010 1011()(log)4log 42/44()200/bnH xbit symbolRH xnbit s 2)222211111133()loglogloglog1.985/5544441010()198.5/bH xbit synbolRn H xbit s/offer()loglog()loglb()()loglog()loglb()iiiiii()loglog()loglb()()loglog()loglb()()loglog()loglb()()loglog()loglb()()loglog()loglb()()loglog(

34、)loglb()()loglog()loglb()()loglog()loglb()()loglog()loglb()()()log()()()log()N N()()log()()()log()()()log()()()log()()()log()()()log()A ABA A()()i i()()()P x()()()()()log()()()log()iiii()()log()()()log()()()log()()()log()()()log()()()log()()()log()()()log()IH xnD D1 11111NiHNHN11HNHNHNHNHNHNHNHNHNHN

35、5ms5ms111311135441054410ABCDABCD5441054410PPPPPPPP11131113PPPPPPPPPPPPABCDABCDPPPPPPPPABCDABCDABCDPPPPPPPPPPPP10ms10ms3 310010 1010 1010 10-https:/ 0AMmmcc1cos()cos()Att0mAM/AA111 AM0max()/f tA0AM0c()()cosstAf tt0cccos()cosAtf tt 0c0ccccc()()cos()()1()cos()()2f tFAtAf ttFFAM0cccc1()()()()2SAFF 2AMAM

36、220c222220cc0c()()coscos()cos2()cosPstAf ttAtfttA f tt/offer)c ccccccccc1cos()cos()1cos()cos()cccc1cos()cos()1cos()cos()1cos()cos()cccccc1cos()cos()1cos()cos()cccc1cos()cos()1cos()cos()1cos()cos()1cos()cos()ccccccf tFf tF()()AtAAtAf tAf tAf tA()()()0c0c0c0ccccccc()()1 1 1 1()cos()()()cos()()cccccc1

37、1()cos()()()cos()()cccccc(AtAAtA0c0c0c0c0c0cAtAAtA0c0c0c0c0c0c()cos()()()cos()()()cos()()()cos()()()cos()()()cos()()ccccccAMSASAAM 0c0cAtf ttAtf tt0c0ccos()coscos()cos0c0cAtf ttAtf tt0c0ccos()coscos()cos0c0c0ccccccc)()()()cos()()()cos()()ccccccccc()cos()()()cos()()()cos()()cccccc)()()()()()()()()()c

38、os()()()cos()()()cos()()()cos()()()cos()()()cos()()()cos()()()cos()()ccccccccc()cos()()()cos()()()cos()()cccccc-https:/ fcfAMfAMPPPPP)()()(2121)(2122022202tfAtftfAtf)cos()(mmmtAtf22m()2/ftA2AM2AM2m202m2m202mAM222121AAAAAA1AM1/3 AM50 kW0.707 (1)(2)50(1)51707.02707.02222AM2AMAM AMffcfAMPPPPP cAMfAMAM1

39、(1)50140(kW)5PPPP2RAP22c3c2240 10502 000(V)APRDSB-SCDSB-SCDSBc()()cosstf tt)(21)(21)(ccDSBFFSttftsPc222DSBDSBcos)()(1DSBDSB-SC/offer50 kW50 kW AM2 22 2AMAMf ff fP PP PfPfcAMfAMAMcAMfAMAMPPPPPPPPcAMfAMAMcAMfAMAMPPPPPPPPPPPPcAMfAMAMcAMfAMAMA AP P2 2c707.0 707.72 22 cAMfAMAM(1)50140(kW)(1)50140(kW)cAMf

40、AMAM(1)50140(kW)(1)50140(kW)(1)50140(kW)DSBDSBstf tt-https:/ ttftfttfttscc2cDSB2cos)(21)(21cos)(cos)()(21)(dtfts2 RCmfRC1cf()()ds tAf t(SSB)1SSB SSB /offerf t t t t2 21 1f f(2 21 1)f1 1t tf t t1 1()()()()()()()()()()()()t tc-https:/ c/ff10-3 L12fB1cL1c2222fffB2SSBtAtfmmcos)(ttcccos)(DSBDSBmmc()cosco

41、sstAtttAtA)cos(21)cos(21mcmmcmUSBmcm1()cos()2stAtttAttAcmmcmmsinsin2coscos2ttAttAtscmmcmmLSBsinsin2coscos2)(/offerf f2cf f1c c2 21c cA A-https:/ SSB SSBSSB 3SSBttfttftsccSSBsin)(cos)()(2/2sin)(2/2cos)(2/)(cos)()(cccSSBpttfttftfttsts2/)()(dtfts 0 Hz 3 000 Hz20.000 MHz 0fdf0f10.000 MHz 10.003MHz(1)0fd

42、f (2)(1)(1)if20.000 MHz20.003MHz 0f(20.000 20.003)=10.003 MHz10.000 MHz 0f=30.003 MHz/offers sSSBSSBt t(SSBSSBcoscos)ftftc 2/)2/2/)2/2/)2/)-https:/ 10.000)=0 MHz 0.003 MHz d10.003MHzf (2)if20.000 MHz19.997MHz 0f(20.000 19.997)=10 MHz10.003 MHz 0f=30 MHz (10.000 10.003)df=0 MHz0.003 MHz d10.000 MHzf

43、(VSB)1 ,VSB2/)()()()(ccVSBVSBFFHS 2VSBVSB ttstctstscVSBdVSBpcos)()()()(4/)()()()(cVSBcVSBdHHFS )()(cVSBcVSBHHH /offers sp(t)(VSBVSB)(d d)()()tc cd dtc tc()H H()()c)()(t tc ccoscos()-https:/ BPF tttVtttVtttVtn000isin)(sin)(cos)(cos)()(cos)()(ttnttnQI00sin)(cos)()(cos)()(ttVtnI)(sin)()(ttVtnQ0)()()(it

44、ntntnQI2/0nBPFBBnBnN00i22SNRooNS iioo/NSNSG iiNS )()()()(iiitntstnts1DSB ttnttntnQIccisin)(cos)()(ic()()coss tn ttcccc()cos()cos()sin cosIQf ttn ttnttt22cccc()cos()cos()sin cosIQf ttn ttntttccc()/2()cos2/2()/2()cos2/2()sin2/2IIQf tf ttn tn ttntt /offeri iiN Ni-https:/ ()/4SftEft2/4/4/)(0DSB02oWnBntn

45、NI2oo0()2EftSNn W2222ic()cos()/2()/2SfttftE ftWnBnN0DSB0i22ii0()4EftSNn W2/iiooDSBNSNSG2SSB ttnttntnQI00isin)(cos)()(ttntscicos)()(tttnttnttfttfQIc00cccossin)(cos)(2/sin)(2/cos)(cc0c()/4()cos2/4()sin2/4()cos()/2If tf ttf ttn tt0c0c0c()cos()/2()sin()/2()sin()/2IQQn ttnttnttoo()()()/4()cos()/2/2()sin(

46、)IQs tn tf tn tW tntW t2o()/16SEft4/0WnNo2oo0()4EftSNn W2i()/4SEftWnBnN0SSB0i1/iiooSSBNSNSG 2 mW32 10W/Hz4 kHz (1)(2)SSB /offertc c()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2c c()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2c()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4

47、()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2c()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/2IQQIQQ0c0c()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/20c0c()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()

48、/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/20c0c0c0c()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/20c0c()cos()/2()sin()

49、/2()sin()/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/2()cos()/2()sin()/2()sin()/20c0c0coooos tn tf tn tW tntW ts tn tf tn tW tntW toooo()()()/4()cos()/2/2()sin()()()()/4()cos()/2/2()sin()oooooo()()()/4()cos()/2/2()sin()()()()/4()cos()/2/2()sin()()()()/4()cos()/2

50、/2()sin()ooooSEftSEftt t0()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()/4()cos2/4()sin2/4()cos()/2()cos()/2()sin

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