Consider the open loop system of Problem 10.1. Knowing the input and output, identify the system both in BPF domain and in LPWMGBPF domain using the "deconvolution" matrix, for \(m=8, T=1 \mathrm{~s}\) and suitable choice of \(h_{0}\) and \(\delta\). Comment on the results obtained using these two approaches. Is there any oscillation in the result?

Data From Problem 10.1

Consider an open loop system having a transfer function \(G(s)=(s+1)^{-1}\). Find its output \(c(t)\) in LPWM-GBPF domain for a step input \(u(t)\) using the convolution matrix. Consider \(m=8\) and \(T=1 \mathrm{~s}\), and choose the values of \(h_{0}\) and \(\delta\) to make MISE a minimum.

Compare the convolution results with direct expansion of the output and determine the percentage errors of different coefficients.