Expand the function (f(t)=1-exp (-t)) in BPF domain with (m=8) and (T=1 mathrm{~s}) and plot the result

Question:

Expand the function $f(t)=1-\exp (-t)$ in BPF domain with $m=8$ and $T=1 \mathrm{~s}$ and plot the result along with the exact curve of $f(t)$.

Also, obtain the approximation of the scaled function $f(t / \lambda)$ using the stretch matrix $\mathbf{S}_{\mathrm{B}}$ in BPF domain, where $\lambda=0.5$. Draw the BPF expanded forms of $f(t)$ and $f(t / \lambda)$ in a same plot.

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