搜索
28h(n)h(n)(FIR)h(n)IIRIIRy(n)=∑=−Mrrrnxb0)(+∑=−Nkkknya1)(FIRy(n)=∑=−Mrrrnxb0)(FIRIIR)(sHa)(tha=1−L[)(sHa]h(n)=)(nThah(n)=T)(nThaT)(sHa)(sHa=∑=−NkkkssA1,H(z)=∑=−−NkTskzeTAk111)(sHas=T21111−−+−zzΩ=T2tg(ω/2)}{kωΩCΩ)(sHa)(sHaH(z)29H(z)=)(sHas=T21111−−+−zzΩ=T2tg(ω/2)H(z)=)(pHap=TC2Ω1111−−−+zzΩ=22CΩTctg(ω/2)CΩ=T2tg(Cω/2)pCωH(z)=)(pHap=CzzzΩ−+−−−−)1(cos212201ωΩ=ωωωsincoscos0−0ω0cosω=]2/)cos[(]2/)cos[(luluωωωω−+uωlωH(z)=)(pHap=20112cos21)1(−−−−+−Ω−zzzCωΩ=0coscossinωωω−0cosω=]2/)cos[(]2/)cos[(luluωωωω−+[3-1])(sHa=1/s)(sHas=T21111−−+−zz(1))(sHas=0,,H(z)=101−−zeTT=11−−zT,|z|1,y(n)=Tx(n)–y(n–1),(2)H(z)=)(sHas=T21111−−+−zz=2T1111−−−+zz|z|1,y(n)=2T[x(n)+x(n–1)]+y(n–1)30[3-2])(tha)(tSa)(sHa(1)h(n)=)(nThaS(n)=∑−∞=nkakTh)((2)S(n)=)(nTSah(n)=)(nThaQu(n)=∑−∞=nkk)(δ,S(n)=∑−∞=nkkh)(h(n)=)(nThaS(n)=∑−∞=nkakTh)((2)Q)(nδ=u(n)–u(n–1)h(n)=S(n)–S(n–1)S(n)=)(nTSah(n)=)(nTSa–)(TnTSa−)(nTha≠[3-3]Sf=6.28318kHz,3,Cf=1kHz3)(sHa3CΩ)(CsΩ+)(3/2πjCesΩ−)(3/2πjCes−Ω−31)(sHaCCsΩ+Ω2/)31()3/(6/jseCjC−Ω+Ω−π2/)31()3/(6/jseCjC+Ω+Ω−−πH(z)=∑=−−NkTskzeTAk111TCΩ=1H(z)=13679.011−−z+2113679.07859.016597.01−−−+−−zzz31[3-4]3,Sf=720Hz,1f=60Hz,2f=300Hzlω=π21f/Sf=π/6uω=π22f/Sf=5π/60cosω=]2/)cos[(]2/)cos[(luluωωωω−+=0CΩ=uuωωωsincoscos0−=33)(pHa=1/)122(23+++pppp=CzzzΩ−+−−−−)1(cos212201ω=CzzΩ−+−−)1(122,H(z)=6426420138.30654.32440.11925.0331−−−−−−+++−+−zzzzzz[3-5]h(n)=)(nTha)(sHa=22)(basas+++)(tha=)()cos(tubteat−h(n)=)(nTha=)()cos(nubnTeanT−=21[nTjbae)(+−+nTjbae)(+−]H(z)=21[Tjbaez)(111+−−−+Tjbaez)(111+−−−]=2211)cos(21)cos(1−−−−−−+−−zezbTezbTeaTaTaT[3-6]3,Sf=10kHz,f2.5kHz(5kHz),1dB2|)(|ΩjHa=1/[1+)/(22CNCΩΩε]PA=1dBε=0.5089N=332)(pHa=0.4913/)9883.0238.14913.0(32ppp+++CωCω=π2Cf/Sf=0.5π,CΩ=T2tg)2/(Cω=T2p=2CΩT1111−−−+zz=1111−−−+zz)(pHa,H(z)=3213212041.06043.03432.01)331(1321.0−−−−−−+++++−zzzzzzFIRh(n)FFTFIRh(n),10−≤≤Nnh(n)=h(N–1–n)h(n)=–h(N–1–n)H(z))(ωjeH(1))(ωjdeH(2))(nhd=π21∫−ππωωωdeeHnjjd)((0π2)(3)w(n),10−≤≤Nn)(nhdh(n)=)(nhdw(n),α=21−N)(ωjdeH)(kHd=)(kjdeHω,10−≤≤Nk,kω=Nk/2π(2)h(n)h(n)=IDFT[)(kHd]=N1∑−=10/2)(NkNknjdekHπ10−≤≤Nn330ππω≤≤0)(ωjdeHFIR)(ωgH)(ωjdeHh(n)=–h(N–1–n))(ωϕ2/πωα±−)(ωgHω=0)(ωϕωα−h(n)=h(N–1–n))(ωgHω=00≤−ωπ)(ωjdeH=⎩⎨⎧−0ωαjeπωωωωωωωωωω≤+−≤≤−≤−CCCC000,0(a)Nh(n)(b)Nh(n)(c)(a)Q)(ωϕωα−h(n)=h(N–1–n),)(ωgHω=00≤−ωπ)(ωjdeH)(ωjdeH=⎩⎨⎧−0ωαjeπωωωωωωπωωωωωωωωω≤+−−≤−−+−≤±≤−CCCCCC00000,,)(nhd=π21∫−ππωωωdeeHnjjd)(=π21[∫+−−−−CCdeenjjωωωωωωαω00+∫+−−CCdeenjjωωωωωωαω00]=)(1απ−n{sin[))((0Cnωωα+−]sin[))((0Cnωωα−−]}h(n)=)21(1−−Nnπ{sin[))(21(0CNnωω+−−]sin[))(21(0CNnωω−−−]})(nRN(b)Nh(n),(a)(c),h(n)=)21(1−−Nnπ{sin[))(21(0CNnωω+−−]sin[))(21(0CNnωω−−−]}×[0.54–0.46cos(12−Nnπ)])(nRN34)(ωjdeH=⎪⎩⎪⎨⎧−−−−−0)()(απωαπωjjjejeπωωπωπωωπωππωωπ2,0≤+−≤+≤≤−CCCCh(n)αNh(n))(nhd=π21∫πωωω20)(deeHnjjd=π21[∫−−−−πωπωααπωωCdejejj)(+∫+−−Cdejejjωππωααπωω)(]=)()1(απ−−nn{cos[)(αω−nC]–1}(a),αNh(n)=)(nhd)(nRN=)21()1(−−−Nnnπ{cos[)21(−−NnCω]–1})(nRN(b)Nh(n)=–h(N–1–n)h(n)NNh(n)=h(N–1–n)h(n)N(c)h(n)=)21()1(−−−Nnnπ{cos[)21(−−NnCω]–1}[)12cos(1−−Nnπ])(nRN)(ωjdeH=ωαjje−−0ωπh(n)N)(ωgHω=0–πω0)(ωjdeH)(ωjdeH=ωαjje−–πω0)(nhd=π21∫−ππωωωdeeHnjjd)(=π21[∫−−0πωωαωdejenjj+∫−−πωωαω0dejenjj]35=)(1απ−n{1–cos[)(απ−n]}(a)h(n)=)21(1−−Nnπ{1–cos[)21(−−Nnπ]})(nRN(b)Nh(n)=)21()1(121−−−−−−NnNnπ)(nRNNh(n)=)21(1−−Nnπ)(nRN)(ωjdeHNN)(ωgHNlω=4πuω=43πN=33N=34H(k)ln=πω2lN,un=πω2uNN=33ln=4,un=12N=34ln=4,un=13h(n))(ωjeH)(kHd=)(*kNHd−h(n)=h(N–1–n))(ωϕ=ω−)21(−N)(kθ=NN1−−πk,k=0,1,2,K,N–1)(kHg=⎩⎨⎧−−−)()(kNHkNHgg120210−≤≤−≤≤NkNkNN36N=33,)(kHg=⎩⎨⎧013230,2013,302921,124≤≤≤≤≤≤≤≤≤≤nnnnnN=34,)(kHg=⎪⎩⎪⎨⎧−0113331,2014,303021134≤≤≤≤≤≤≤≤≤≤nnnnnh(n)=–h(N–1–n))(ωϕ=ω−)21(−N2π±)(kθ=NN1−−πk2π±,k=0,1,2,K,N–1)(kHg=⎩⎨⎧−−−)()(kNHkNHgg120210−≤≤−≤≤NkNkNNN=33,)(kHg=⎪⎩⎪⎨⎧−0113230,2013,302921124≤≤≤≤≤≤≤≤≤≤nnnnnN=34,)(kHg=⎩⎨⎧013331,2014,303021,124≤≤≤≤≤≤≤≤≤≤nnnnn2NN21−NN)(ωjeHNh(n)