Consider an output of a closed-loop system as \(c(t)=\exp (-t) \sin (3 t)\), having the feedback element \(h(t)=2 u(t)\). Identify the system \(g(t)\) in non-optimal and optimal BPF domain for a step input \(u(t)\) using the "deconvolution" matrix. Consider \(m=8\) and \(T=1\) s. Finally, compare the result graphically with the direct BPF expansion of \(g(t)\) in respective domains. Is there any oscillation in the result?