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//clear//
//Example 1.18:Classsification of a system:Linearity Property
//Page 54
//To check whether the given discrete system is a Linear System (or) Non-Linear System
//Given discrete system y(t)= (x(t)^2)
clear;
clc;
x1 = [1,1,1,1];
x2 = [2,2,2,2];
a = 1;
b = 1;
for t = 1:length(x1)
x3(t) = a*x1(t)+b*x2(t);
end
for t = 1:length(x1)
y1(t) = (x1(t)^2);
y2(t) = (x2(t)^2);
y3(t) = (x3(t)^2);
end
for t = 1:length(y1)
z(t) = a*y1(t)+b*y2(t);
end
count = 0;
for n =1:length(y1)
if(y3(t)== z(t))
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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