Consider an underdamped system having a transfer function \(G(s)=\) \(\left(s^{2}+2 s+2ight)^{-1}\). Find its output \(c(t)\) in BPF domain as well as in NOBPF domain, for a step input \(u(t)\) using the convolution matrix. Consider \(m=4\) and \(T=1 \mathrm{~s}\). Determine the percentage errors of different coefficients. Finally, compare the two results of the output and discuss.