Compare the results of Problem 4.2 with direct BPF expansion of the exact time domain output by estimating the mean integral square error (MISE). Plot the exact solution along with the two BPF solutions obtained from Problems 4.2 and 4.3.

Data From Problem 4.2

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