📄 ex082200.m
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% Chapter 8: Example 8.22% Butterworth Lowpass Filter Design:% Use of the CHEBY1 function%% Digital Filter Specifications:wp = 0.2*pi; %digital Passband freq in Hzws = 0.3*pi; %digital Stopband freq in HzRp = 1; %Passband ripple in dBAs = 15; %Stopband attenuation in dB% Analog Prototype Specifications:T = 1; %Set T=1OmegaP = (2/T)*tan(wp/2); %Prewarp Prototype Passband freqOmegaS = (2/T)*tan(ws/2); %Prewarp Prototype Stopband freqep = sqrt(10^(Rp/10)-1); % Passband Ripple parameterRipple = sqrt(1/(1+ep*ep)); % Passband RippleAttn = 1/(10^(As/20)); % Stopband Attenuation% Analog Prototype Order Calculation:ep = sqrt(10^(Rp/10)-1); %Passband Ripple FactorA = 10^(As/20); %Stopband Attenuation FactorOmegaC = OmegaP; %Analog Prototype Cutoff freqOmegaR = OmegaS/OmegaP; %Analog Prototype Transition Ratiog = sqrt(A*A-1)/ep; %Analog Prototype Intermediate cal.N = ceil(log10(g+sqrt(g*g-1))/log10(OmegaR+sqrt(OmegaR*OmegaR-1)));fprintf('\n*** Chebyshev-1 Filter Order = %2.0f \n',N)%%*** Chebyshev-1 Filter Order = 4 % Digital Chebyshev-I Filter Design:wn = wp/pi; %Digital Passband freq in pi units[b,a]=cheby1(N,Rp,wn);[b0,B,A] = dir2cas(b,a)%%b0 = 0.0018%%B = 1.0000 2.0000 1.0000%% 1.0000 2.0000 1.0000%%A = 1.0000 -1.4996 0.8482%% 1.0000 -1.5548 0.6493
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