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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+//Example 1.25<a>
+//To check whether the given discrete system is a Linear System (or) Non-Linear System y(t)= t*x(t)
+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)=t*x1(t);
+y2(t)=t*x2(t);
+y3(t)=t*x3(t);
+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')
+else
+disp('Since It does not satisify the superposition principle')
+disp('The given system is a Non-Linear system')
+end