Consider the open loop system of Problem 5.2. Knowing the input and output, identify the system using (a) the "deconvolution" matrix and (b) the recursive approach, for $m=8$ and $T=1s$. Comment on the results obtained using these two approaches. Is there any oscillation in the result?

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.