# Digital Signal Processing Using MATLAB

### John Proakis (view profile)

• 1 file
• 4.38298

21 Aug 2002 (Updated )

Companion Software

errorfun.m
```% Chapter 7 Figure mfile:

%           Mfile to draw figures on equiripplr amplitude response,

%                 error function, and weighted error function.

% a) equiripple amplitude response

figure(1); subplot(1,1,1)

f = [0,0.3,0.5,1]; m = [1,1,0,0]; weights = [0.5,1];

h = remez(10,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 on

wp = w(1:151); ws = w(251:501);

upb=Hr(1)*ones(length(wp),1);

lpb=(2-Hr(1))*ones(length(wp),1);

ipb=ones(length(wp),1);

plot(wp/pi,upb,'r',wp/pi,ipb,'g',wp/pi,lpb,'r')

usb=Hr(251)*ones(length(ws),1);

isb=zeros(length(ws),1);

lsb=-Hr(251)*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',[-0.05,0,0.05,0.90,1,1.10])

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 plots

figure(2); clg: subplot(2,1,2);

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 on

plot(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',[-0.1,-0.05,0,0.05,0.1])

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 plots

figure(3); clg: 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 on

plot(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',[-0.05,0,0.05])

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

```