//clear// //Example10.10:Inverse Z Transform:ROC 1/4<|z|<1/3 z = %z; syms n z1;//To find out Inverse z transform z must be linear z = z1 X =z*(3*z-(5/6))/((z-(1/4))*(z-(1/3))) X1 = denom(X); zp = roots(X1); X1 = z1*(3*z1-(5/6))/((z1-(1/4))*(z1-(1/3))) F1 = X1*(z1^(n-1))*(z1-zp(1)); F2 = X1*(z1^(n-1))*(z1-zp(2)); h1 = limit(F1,z1,zp(1)); disp(h1*'u(n)','h1[n]=') h2 = limit(F2,z1,zp(2)); disp((h2)*'u(-n-1)','h2[n]=') disp((h1)*'u(n)'-(h2)*'u(n-1)','h[n]=') ////Result // h[n]= u(n)/4^n-2*u(n-1)/3^n //Equivalent to h[n] =(1/4)^n.u[n]-2*(1/3)^n.u[-n-1]