Repeat Problem 5.2 for \(m=8\) and \(T=1 \mathrm{~s}\). Compare the two results and discuss.

Data From Problem 5.2

Consider an open loop system having a transfer function \(G(s)=\) \((s+1)^{-1}\). Find its output \(c(t)\) in BPF domain for a step input \(u(t)\) using the convolution matrix. Consider \(m=4\) and \(T=1 \mathrm{~s}\). Compare the convolution results with direct BPF expansion of the output and determine the percentage errors of different coefficients.