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+//Example 4.30

+//Cascade connection of systems

+clc

+clear

+n=0:10;

+h11=[1 -0.5];

+for i=1:length(n)

+    h2(i)=0.5^n(i);

+    if (n(i)==0) then

+        h1(i)=1;

+    elseif n(i)==1 then

+            h1(i)=-0.5

+    else

+        h1(i)=0;

+    end

+end

+h=convol(h11,h2);

+n2=0:11;

+//assume x[n]=[1 1 1]

+n1=0:2;

+x=[1 1 1];

+n3=0:13;

+y=convol(x,h);

+subplot(3,1,1);

+plot(n1,x,'.');

+xtitle("Input Signal x[n]","n","x[n]")

+subplot(3,1,2);

+plot(n2,h,'.');

+xtitle("Impulse Response h[n]","n","h[n]")

+subplot(3,1,3);

+plot(n3,y,'.');

+xtitle("Output Signal y[n]","n","y[n]")

+disp("the given system is an invertible system");