Compare the results of Problem 4.5 with the direct BPF expansion of the exact time domain output by estimating the mean integral square error (MISE) and comment on the effectiveness of the BPOTF approach.

Data From Problem 4.5

Consider an open loop system having a transfer function \(G(s)=\) \(\left(s^{2}+4ight)^{-1}\). Find its output \(c(t)\) in BPF domain for a step input \(u(t)\) using block pulse operational transfer function (BPOTF). Consider \(m=5\) and \(T=1 \mathrm{~s}\).