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//example 3.27<i>
//Find the convolution sum
clear ;
clc;
close ;
t= -10:1/100:10;
for i =1: length (t)
if t(i) <0 then
h(i)=0;
x(i)=0;
else
h(i)=(1/2)^t(i);
x(i)=cos(%pi*t(i));
end
end
y = convol (x,h) ;
// figure
f=scf(0);
plot2d (t,h)
xtitle ( ' Input Re spons e ' , ' t ' , ' h ( t ) ' );
xs2jpg(0, 'EX3_27_1-plot-a.jpg');
//figure
f=scf(1);
plot2d (t,x)
xtitle ( ' Input Re spons e ' , ' t' , ' x ( t ) ' );
xs2jpg(1, 'EX3_27_1-plot-b.jpg');
//figure
f=scf(2);
t1 = -20:1/100:20;
plot2d (t1 ,y)
xtitle ( ' Output Re spons e ' , ' t ' , ' y ( t) ' );
xs2jpg(2, 'EX3_27_1-plot-c.jpg');
//example 3.27<ii>
//Find the response using convolution sum
clear ;
close ;
clc ;
t = -10:1/100:10;
for i =1: length (t)
if t(i) <0 then
h(i)=0;
x(i)=(1/3)^(-t(i));
elseif t(i)==0 then
h(i)=0;
x(i)=0;
else h(i)=1;x(i)=0;
end
end
y = convol (x,h) ;
//figure
f=scf(0);
plot2d (t,h)
xtitle ( ' Input Re spons e ' , ' t ' , ' h ( t ) ' );
xs2jpg(0, 'EX3_27_2-plot-a.jpg');
//figure
f=scf(1);
plot2d (t,x)
xtitle ( ' Input Re spons e ' , ' t ' , ' x ( t ) ' );
xs2jpg(1, 'EX3_27_2-plot-b.jpg');
//figure
f=scf(2);
a= gca ();
t1 = -20:1/100:20;
plot2d (t1 ,y)
xtitle ( ' Output Re spons e ' , ' t ' , ' y ( t ) ' );
xs2jpg(2, 'EX3_27_2-plot-c.jpg');
//example 3.27<iii>
//Find the response using convolution sum
clear ;
close ;
clc ;
t = -5:1/100:5;
for i =1: length (t)
if t(i) <0 then
h(i)=0;
x(i)=0;
elseif t(i)<=10 then
x(i)=(1/2)^t(i);
h(i)=1;
else
h(i)=0;
x(i)=(1/2)^t(i);
end
end
y = convol (x,h) ;
//figure
f=scf(0);
plot2d (t,h)
xtitle ( ' Input Re spons e ' , ' t ' , ' h ( t ) ' );
xs2jpg(0, 'EX3_27_3-plot-a.jpg');
// figure
f=scf(1);
plot2d (t,x)
xtitle ( ' Input Re spons e ' , ' t ' , ' x ( t ) ' );
xs2jpg(1, 'EX3_27_3-plot-b.jpg');
//figure
f=scf(2);
a= gca ();
t1 = -10:1/100:10;
plot2d (t1 ,y)
xtitle ( ' Output Re spons e ' , ' t ' , ' y ( t ) ' );
xs2jpg(2, 'EX3_27_3-plot-c.jpg');
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