Derive the NOBPF coefficients of the following functions for \(m=7\) :
a. \(f(t)=t^{2}, 0 \leq t<1 \mathrm{~s}\)
b. \(f(t)=\exp (-t), 0 \leq t<2 \mathrm{~s}\)
Draw the exact curve along with the NOBPF domain approximated staircase curve in each case.