Consider the open loop system of Problem 5.6. After identifying the system using the "deconvolution" approach for \(m=8\) and \(T=1 \mathrm{~s}\), compare the result with the direct BPF expansion of the impulse response of the system. Compute percentage error for each segment and make your observations.

Data From Problem 5.6

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 \(T=1 \mathrm{~s}\). 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.