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%-------------------------------------------------------------------------- % example6_20; % to test buttord.m and butter.m; % to design a Butterworth Bandpass digital filter. % ------------------

n=-5:10; x=sin(pi*n/2); k=-100:100;w=pi/100*k; X=x*(exp(-j*pi/100)).^(n'*k); [xe,xo,m]=evenodd(x,n); XE=xe*(exp(-j*pi/100)).^(m'*k); XO=xo*(exp(-j*pi/100)).^(m'*k); XR=real(X); error1=max(abs(

x=linspace(0,2*pi,30); y=sin(x); z=cos(x); plot(x,y,'--',x,z,':'); grid xlabel('x') ylabel('y') title('正弦及余弦曲线')

n=[-5:5]; x=(-0.9).^n; k=-200:200;w=(pi/100)*k; X=x*exp(-j*pi/100.*(n'*k)); magX=abs(X);angX=angle(X); subplot(2,1,1);plot(w/pi,magX);grid; xlabel('Frequency');ylabel('amplitude'); subplot(2,1,

n=[0:10]; x=(0.9*exp(j*pi/3)).^n; k=-200:200;w=(pi/100)*k; X=x*exp(-j*pi/100.*(n'*k)); magX=abs(X);angX=angle(X); subplot(2,1,1);plot(w/pi,magX);grid; xlabel('Frequency');ylabel('amplitude'); s

w=[0:1:500]*pi/500; X=exp(j*w)./(exp(j*w)-0.5*ones(1,501)); magX=abs(X);angX=angle(X); realX=real(X);imagX=imag(X); subplot(2,2,1);plot(w/pi,magX);grid; xlabel('frequency');ylabel('amplitude');ti

function [db,mag,pha,grd,w]=freqz_m(b,a); [H,w]=freqz(b,a,1000,'whole'); H=(H(1:1:501))';w=(w(1:1:501))'; mag=abs(H); db=20*log10((mag+eps)/max(mag)); pha=angle(H); grd=grpdelay(b,a,w); subplot

n=0:100;x=cos(pi*n/2); k=-100:100;w=(pi/100)*k; X=x*(exp(-j*pi/100)).^(n'*k); y=exp(j*pi*n/4).*x; Y=y*(exp(-j*pi/100)).^(n'*k); subplot(2,2,1);plot(w/pi,abs(X)); xlabel('frequency');ylabel('|X|'

%----------------------------------------------------------------------------- % example6_19 % to test butter.m %----------------------------------------------------------------------------- clea

Wp=0.2*pi;Ws=0.3*pi;Rp=1;As=16; Ripple=10^(-Rp/20);Attn=10^(-As/20); %Analog filter design: [b,a]=afd_chb1(Wp,Ws,Rp,As) %Chebyshev-1 Filter Order=4 % Calculation of second-order sections: [C,B,A