多采样率信号处理在FIR数字滤波器中的应用-陈珺

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FIR陈1,李学军2,唐军3(1.西安电子科技大学电子工程学院,陕西省西安市710071;2.96275部队,河南省洛阳市471000;3.77183部队,云南省开远市661600)讨论了多采样率数字信号处理(MRDSP)在数字滤波器中的应用,提出一种多相滤波的高效结构,并通过使用SystemView对其进行仿真验证,说明当滤波器具有较窄的过度带时,应用多采样率数字信号处理技术不但可以有效地减少滤波器计算量,提高信号的处理能力,而且使滤波器也容易实现:多采样率数字信号处理,抽取,内插,FIR数字滤波器:TN911.72收稿日期:2004-11-11;修回日期:2005-01-260引言FIR(),,,A/D,,,MRDSP()22,,,,MRDSPFIR,,1MRDSP的基础理论,22,,[1]MRDSP,D[2]x(n)D-1,xD(m),xD(m)=x(mD),X(ejX)DD,XD(ejX)=1DED-1r=0X[ej(X-2Pr)/D]x(n)P/D,,,P/D1D1DI[2]x(n)(I-1),xI(m),:xI(m)=xmIm=0,?I,?2I,,0:XI(ejX)=X(ejXI)I,P/I,22I2FIR数字低通滤波器的多采样率实现2.1低通滤波器的设计h(n)3#43#31320053ELECTRONICENGINEERVo.l31No.3Mar.20053FIRh(n)Fsh(n)M,M,(4),,:Y(z)=H2(z)1MEM-1r=0X(zWr)H1(zWr)(1):W=ej2P/M(1):Y(z)=1MH2(z)H1(z)X(z)+H2(z)#1MEM-1r=1X(zWr)H1(zWr)(2)4h1(n)h2(n)P/M,(2)20,4:H(z)=1MH1(z)H2(z),h1(n)h2(n)h(n)Nh(n):DPDSfPfS,,:1-DP[|H(ejX)|[1+DP0[|f|[fP2FSM|H(ejX)|[DS|f|\fS=2FSMh1(n)h2(n)NFIR,¸DP,¸DS,4:1-2¸DP[|H(ejX)|[1+2¸DP0[|f|[XP2FSM|H(ejX)|[¸DS|f|2FSM,¸DP[¸DP/2¸DS[DS,2.2低通滤波器的多相结构4,,h1(n),,h2(n),,,,h1(n)h2(n)h1(n)z:H1(z)=E+]n=-]h1(n)z-n(3)(3)[3],:H1(z)=EM-1k=0z-kEk(zM)(4):Ek(zM)H1(z),Ek(z)=EQ-1n=0ek(n)=EQ-1n=0h1(nM+k)z-nN=MQ,Q(4),:H2(z)=EM-1k=0z-(M-1-k)Rk(zM)Rk(z)=EQ-1n=0h2(nM+M-1-k)z-n,[1,3],Em(zM),Rm(zM),553N,FS,:D1=NFS(/s),4N,D2=2NFS/MG1=D2/D1=M/2,,ek(n)NN/M,FSFS/M,:S2=NM#FSM=NFSM2,3S1=NFS,S2/S1=1/M2M,#44###20053,,,52.3基于SystemView环境的仿真SystemViewWindows,Windows,,,SystemViewFIR/IIR(),DSP(),6SystemView456(a)()FIR,FS=20MHz,fp=50kHz,fs=100kHz,0.1,60dB6(b)SystemView,,h1(n)h2(n)fp=50kHz,fs=100kHz,60dB,0.05,20MHzFIR,,,6,,5,5(a)(b)SystemView6453结束语,,,[1]CrochiereRE,RabinerLR.MultirateDigitalSignalProcess-ing.EnglewoodCliffs(NJ):PrenticeHal,l1983[2],,..:,2001[3].,:,1996ApplicationofMult-isamplingrateDigitalSignalProcessinginFIRFilterChenJun1,LiXuejun2,TangJun3(1.XidianUniversity,Xi.an710071,China;2.Unit96275ofPLA,Luoyang471000,China;3.Unit77183ofPLA,Kaiyuan661600,China)AbstractInthepaper,theapplicationofmult-isamplingratedigitalsignalprocessing(MRDSP)inFIRfilterisdiscussedmainly,andanefficientstructureofmultiphasefilterispresented.AsimulationbasedonSystemViewindicatesthatwecannotonlyreducethecalculationamountoffilter,increasetheprocessingability,butalsomakeiteasytorealizethefilterviatheapplicationofMRDSP,althoughtheFIRfilterhasanarrowtransitionband.Keywords:MRDSP,decimate,interpolate,FIRdigitalfilter#45#313,:FIR##

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