📄 ex082800.m
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% Chapter 8: Example 8.28% Chebyshev-1 Highpass Filter Design:% Use of the CHEBY1 function%% Digital Filter Specifications: % Type: Chebyshev-I highpassws = 0.4586*pi; % Dig. stopband edge frequencywp = 0.6*pi; % Dig. passband edge frequencyRp = 1; % Passband ripple in dBAs = 15; % Stopband attenuation in dBRipple = 10 ^ (-Rp/20); % Passband rippleAttn = 10 ^ (-As/20); % Passband attenuation% Calculations of Chebyshev-I Filter Parameters:[N,wn] = cheb1ord(wp/pi,ws/pi,Rp,As);% Digital Chebyshev-I Highpass Filter Design:[b,a] = cheby1(N,Rp,wn,'high');% Cascade Form Realization:[b0,B,A] = dir2cas(b,a)%%b0 = 0.0243%%B = 1.0000 -1.9991 0.9991%% 1.0000 -2.0009 1.0009%%A = 1.0000 1.0416 0.4019%% 1.0000 0.5561 0.7647% Plotting:figure(1); subplot(1,1,1)[db,mag,pha,grd,w] = freqz_m(b,a);subplot(2,2,1);plot(w/pi,mag);grid;title('Magnitude Response')xlabel('Digital frequency in pi units'); axis([0,1,0,1])set(gca,'XTickMode','manual','XTick',[0;ws/pi;wp/pi;1])set(gca,'XTickLabelMode','manual','XTickLabels',[' 0 ';'0.46';'0.6 ';' 1 '])set(gca,'YTickMode','manual','YTick',[0;Attn;Ripple;1])subplot(2,2,3);plot(w/pi,db);grid;title('Magnitude in dB')xlabel('frequency in pi units'); axis([0,1,-30, 0]);ylabel('decibels')set(gca,'XTickMode','manual','XTick',[0;ws/pi;wp/pi;1])set(gca,'XTickLabelMode','manual','XTickLabels',[' 0 ';'0.46';'0.6 ';' 1 '])set(gca,'YTickMode','manual','YTick',[-30;-As;-Rp;0])set(gca,'YTickLabelMode','manual','YTickLabels',['30';'15';' 1';' 0'])subplot(2,2,2);plot(w/pi,pha/pi);grid;title('Phase Response')xlabel('frequency in pi units');ylabel('phase in pi units'); axis([0,1,-1,1])set(gca,'XTickMode','manual','XTick',[0;ws/pi;wp/pi;1])set(gca,'XTickLabelMode','manual','XTickLabels',[' 0 ';'0.46';'0.6 ';' 1 '])subplot(2,2,4);plot(w/pi,grd);grid;title('Group Delay')xlabel('frequency in pi units');ylabel('delay in samples')set(gca,'XTickMode','manual','XTick',[0;ws/pi;wp/pi;1])set(gca,'XTickLabelMode','manual','XTickLabels',[' 0 ';'0.46';'0.6 ';' 1 '])
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