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//Example 3.25<i>
//Find whether the system is causal and stable.
clear all;
clc ;
n = -5:5;
for i =1: length (n)
if(n(i) <=0)
h(i)= 2^n(i);
else
h(i)=0;
end
end
causal =%t;
for i =1: length (n)
if n(i) <0 & h(i) ~=0 then
causal =%f;
end
end
disp (causal,'The statement that the system is causal is:');
n =0:100000;
for i =1: length (n)
if(n(i) <=0)
h(i)= 2^n(i);
else
h(i)=0;
end
end
bibo =sum(h);
if (bibo < %inf ) then
disp (" system is bibo stable ");
else
disp (" systes not stable ");
end
//Example 3.25<ii>
//Find whether the system is causal and stable.
clear all;
clc ;
n = -5:5;
for i =1: length (n)
if(n(i) >=1)
h(i)= exp(2*n(i));
else
h(i)=0;
end
end
causal =%t;
for i =1: length (n)
if n(i) <0 & h(i) ~=0 then
causal =%f;
end
end
disp (causal,'The statement that the system is causal is:');
n =0:100000;
for i =1: length (n)
if(n(i) >=1)
h(i)= exp(2*n(i));
else
h(i)=0;
end
end
bibo =sum(h);
if (bibo < %inf ) then
disp (" system is bibo stable ");
else
disp (" system not stable ");
end
//Example 3.25<iii>
//Find whether the system is causal and stable.
clear all;
clc ;
n = -5:5;
for i =1: length (n)
if(n(i) <=3)
h(i)= (5*n(i));
else
h(i)=0;
end
end
causal =%t;
for i =1: length (n)
if n(i) <0 & h(i) ~=0 then
causal =%f;
end
end
disp (causal,'The statement that the system is causal is:');
n =0:100000;
for i =1: length (n)
if(n(i) <=1)
h(i)= (5*n(i));
else
h(i)=0;
end
end
bibo =sum(h);
if (bibo < %inf ) then
disp (" system is bibo stable ");
else
disp (" system not stable ");
end
//Example 3.2<iv>
//Find whether the system is causal and stable.
clear all;
clc ;
n = -5:5;
for i =1: length (n)
h(i)= exp(-6*abs(n(i)));
end
causal =%t;
for i =1: length (n)
if n(i) <0 & h(i) ~=0 then
causal =%f;
end
end
disp (causal,'The statement that the system is causal is:');
n =0:100000;
for i =1: length (n)
h(i)= exp(-6*abs(n(i)));
end
bibo =sum(h);
if (bibo < %inf ) then
disp (" system is bibo stable ");
else
disp (" system not stable ");
end
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