📄 ex8p21.m
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% Digital Filter Specifications:
wp=0.2*pi; % digital Passband freq in rad
ws=0.3*pi; % digital Stopband freq in rad
Rp=1; % Passband ripple in dB
As=15; % Stopband attenuation in dB
% Analog Prototype Specifications:
T=1; % Set T=1
OmegaP=(2/T)*tan(wp/2); % Prewarp Prototype Passband freq
OmegaS=(2/T)*tan(ws/2); % Prewarp Prototype Stopband freq
% Analog Prototype Order Calculation:
N=ceil((log10((10^(Rp/10)-1)/(10^(As/10)-1)))/(2*log10(OmegaP/OmegaS)));
fprintf('\n***Butterworth Filter Order =%2.0f\n',N)
% **Butterworth Filter Order=6
OmegaC=OmegaP/((10^(Rp/10)-1)^(1/(2*N)));%Analog BW prototype cutoff
wn=2*atan((OmegaC*T)/2); %Digital BW cutoff freq
% Digital Butterworth Filter Design:
wn=wn/pi; % Digital Butter cutlff in pi units
[b,a]=butter(N,wn);
[b0,B,A]=dir2cas(b,a)
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