% Chapter 7 Figure mfile:%           Mfile to introduce PM algorithm,%% a) equiripple amplitude responsefigure(1); subplot(1,1,1)f = [0,0.3,0.5,1]; m = [1,1,0,0]; weights = [0.5,1];h = remez(8,f,m,weights);M = length(h); n = 0:M-1;[Hr,w,a,L] = Hr_Type1(h);plot(w/pi,Hr);axis([0,1,-0.15,1.15])xlabel('frequency in pi units');title('Amplitude Response of an Equiripple Filter');hold onwp = w(1:151); ws = w(251:501);delta1 = max(Hr(1:151))-1; UPL = 1+delta1; LPL = 1-delta1;upb=UPL*ones(length(wp),1);lpb=LPL*ones(length(wp),1);ipb=ones(length(wp),1);plot(wp/pi,upb,'r',wp/pi,ipb,'g',wp/pi,lpb,'r')delta2 = Hr(251); USL = delta2; LSL = -delta2;As = -20*log10(USL/UPL)usb=USL*ones(length(ws),1);isb=zeros(length(ws),1);lsb=LSL*ones(length(ws),1);plot(ws/pi,usb,'r',ws/pi,isb,'g',ws/pi,lsb,'r');set(gca,'XTickMode','manual','XTick',[0,0.3,0.5,1])set(gca,'XTickLabelMode','manual','XTickLabels',[' 0 ';'0.3';'0.5';' 1 '])set(gca,'XGrid','on')set(gca,'YTickMode','manual','YTick',[LSL,0,USL,LPL,1,UPL])%set(gca,'YTickLabelMode','manual',...%        'YTickLabels',['-0.05';' 0.0 ';' 0.05';' 0.90';' 1.0 ';' 1.10'])text(0.31,1,'Ideal Response');text(0.32,0.0,'Ideal Response')hold off%print -deps2 equir_ar.eps%% Error function plotsfigure(2); clg: subplot(2,1,1); erpb=Hr(1:151)-ipb; ersb=Hr(251:501)-isb;plot(wp/pi,erpb,ws/pi,ersb); axis([0,1,-.15,.15]);xlabel('frequency in pi units');title('Error Function');hold onplot(wp/pi,upb-ipb,'r',wp/pi,lpb-ipb,'r')plot(ws/pi,usb-isb,'r',ws/pi,lsb-isb,'r');set(gca,'XTickMode','manual','XTick',[0,0.3,0.5,1])set(gca,'XTickLabelMode','manual','XTickLabels',[' 0 ';'0.3';'0.5';' 1 '])set(gca,'XGrid','on')set(gca,'YTickMode','manual','YTick',[-delta1,LSL,0,USL,delta1])%set(gca,'YTickLabelMode','manual',...%        'YTickLabels',['-0.10';'-0.05';' 0.0 ';' 0.05';' 0.10'])%plot([0,0.5],[-0.05,-0.05],'-.')hold off%print -deps2 errorfun.eps%% Weighted function plotsfigure(2); subplot(2,1,2); werpb = weights(1)*erpb; wersb = weights(2)*ersb;plot(wp/pi,werpb,ws/pi,wersb); axis([0,1,-.1,.1]);xlabel('frequency in pi units');title('Weighted Error Function');hold onplot(wp/pi,weights(1)*(upb-ipb),'r',wp/pi,weights(1)*(lpb-ipb),'r')plot(ws/pi,weights(2)*(usb-isb),'r',ws/pi,weights(2)*(lsb-isb),'r');set(gca,'XTickMode','manual','XTick',[0,0.3,0.5,1])set(gca,'XTickLabelMode','manual','XTickLabels',[' 0 ';'0.3';'0.5';' 1 '])set(gca,'XGrid','on')set(gca,'YTickMode','manual','YTick',[LSL,0,USL])%set(gca,'YTickLabelMode','manual',...%        'YTickLabels',['-0.05';' 0.0 ';' 0.05'])text(0.08,0.075,'weight = 0.5')text(0.70,0.075,'weight = 1.0')hold off%print -deps2 wterrfn.eps%% Window Designfigure(3); subplot(1,1,1)Mw = 11;w_fun = ones(1,Mw);%w_fun = (triang(Mw))';%w_fun = (hanning(Mw))';hd = ideal_lp(0.4*pi,Mw);hw = hd.*w_fun;[Hrw,w,a,L] = Hr_Type1(hw);plot(w/pi,Hrw);axis([0,1,-0.15,1.15])xlabel('frequency in pi units');title('Amplitude Response of Window designed Filter');hold onplot(wp/pi,upb,'r',wp/pi,ipb,'g',wp/pi,lpb,'r')plot(ws/pi,usb,'r',ws/pi,isb,'g',ws/pi,lsb,'r');set(gca,'XTickMode','manual','XTick',[0,0.3,0.5,1])set(gca,'XTickLabelMode','manual','XTickLabels',[' 0 ';'0.3';'0.5';' 1 '])set(gca,'XGrid','on')set(gca,'YTickMode','manual','YTick',[LSL,0,USL,LPL,1,UPL])%set(gca,'YTickLabelMode','manual',...%        'YTickLabels',['-0.05';' 0.0 ';' 0.05';' 0.90';' 1.0 ';' 1.10'])text(0.31,1,'Ideal Response');text(0.32,0.0,'Ideal Response')hold off