Consider a closed loop system having the forward path transfer function \(G(s)=(s+1)^{-1}\) and the feedback path transfer function \(H(s)=\frac{4}{s}\). Find its output \(c(t)\) in LPWM-GBPF domain for a step input \(u(t)\) using the convolution matrix. Consider \(m=4\) and \(T=1\) s choosing \(h_{0}\) and \(\delta\).

Finally, compare the result graphically with the direct expansion of \(c(t)\).