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//EXAMPLE 6.12.D
clear;
clc;
x1 = [1,1,1,1];
x2 = [2,2,2,2];
a = 1;
b = 1;
A=2
B=3;
for n = 1:length(x1)
x3(n) = a*x1(n)+b*x2(n);
end
for n = 1:length(x1)
y1(n) = A*x1(n)+B;
y2(n) = A*x2(n)+B;
y3(n) = A*x3(n)+B;
end
for n = 1:length(y1)
z(n) = a*y1(n)+b*y2(n);
end
count = 0;
for n =1:length(y1)
if(y3(n)== z(n))
count = count+1;
end
end
if(count == length(y3))
disp('Since It satisifies the superposition principle')
disp('The given system is a Linear system')
y3
z
else
disp('Since It does not satisify the superposition principle')
disp('The given system is a Non-Linear system')
end
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