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1、DSP题库详解1已知3阶椭圆IIR数字低通滤波器的性能指标为：通带截止频率0.4π，通带波纹为0.6dB，最小阻带衰减为32dB。设计一个6阶全通滤波器对其通带的群延时进行均衡。绘制低通滤波器和级联滤波器的群延时。%Progranm1%Group-delayequalizationofanIIRfilter.%[n,d]=ellip(3,0.6,32,0.4);[GdH,w]=grpdelay(n,d,512);plot(w/pi,GdH);gridxlabel('omega/pi');ylabel('Groupdelay,s
2、amples');title('OriginalFilter');F=0:0.001:0.4;g=grpdelay(n,d,F,2);%EqualizethepassbandGd=max(g)-g;%Designtheallpassdelayequalizer[num,den,tau]=iirgrpdelay(6,F,[00.4],Gd);%设计六阶的全通滤波器[b,a]=iirgrpdelay(6,F,[00.4],Gd);He1=dfilt.df2(b,a);He=dfilt.df2(n,d);He_all=dfilt.cas
3、cade(He,He1);grpdelay(He_all)%DFILT:DigitalFilterImplementation.%[GdA,w]=grpdelay(num,den,512);%figure(2);%plot(w/pi,GdH+GdA);grid%xlabel('omega/pi');ylabel('Groupdelay,samples');%title('GroupDelayEqualizedFilter');2设计巴特沃兹模拟低通滤波器，其滤波器的阶数和3-dB截止频率由键盘输入，程序能根据输入的参数，绘制滤
4、波器的增益响应。%Program2%ProgramtoDesignButterworthAnalogLowpassFilter%%Typeinthefilterorderandpassbandedgefrequency设计边缘频率N=input('Typeinfilterorder=');Wn=input('3-dBcutoffangularfrequency=');%Determinethetransferfunction[num,den]=butter(N,Wn,'s');%计算滤波器的分子和分母%Computeandplot
5、thefrequencyresponse[h,w]=freqz(num,den);plot(w/pi,20*log10(abs(h)));xlabel('omega/pi');ylabel('Magnitude,dB');title('Themagnituderespponseofthesystem')axis([03-805])3%%%%%%%%%%%Tousetheresidue%num=[1,-0.2,0.5,0,0];den=[1,3.2,1.5,-0.8,1.4];[r,p,k]=residue(num,den)4%
6、Program4%Cheby1analoghighpassfilterdesign%Wp=0.75;Ws=0.35;Rs=43;Rp=0.5;[N,Wn]=cheb1ord(Wp,Ws,Rp,Rs,'s');%Determinethecoefficientsofthetransferfunction[num,den]=cheby1(N,Rp,Wn,'high','s');%Computeandplotthefrequencyresponseomega=[0:1:30*pi];%w=0:0.01:pi;h=freqs(num,den
7、,omega);%plot(w/pi,20*log10(abs(h)))plot(omega/(2*pi),20*log10(abs(h)));xlabel('omega/pi');ylabel('Magnitude,dB');title('IIRChebyshev1HighpassFilter/digital')5.%Programto绘制30点序列的实部与虚部%n=0:29;x=0.2*exp((0.4+0.5*j).*n);subplot(1,2,1)stem(n,real(x))title('Therealpart')
8、;xlabel('n');ylabel('magnitude')subplot(1,2,2)stem(n,imag(x))title('Theimaginepart')xlabel('n');ylabel('magnitude')6.%Progra
