Find the BPF coefficients of the following functions for \(m=6\) :
a. \(f(t)=\exp (-2 t), 0 \leq t<1 \mathrm{~s}\)
b. \(f(t)= \begin{cases}t, & 0 \leq t<1 \mathrm{~s} \\ (2-t), & 1 \leq t<2 \mathrm{~s}\end{cases}\)
c. \(f(t)=u(t), 0 \leq t<2 \mathrm{~s}\)
d. \(f(t)=1-\exp (-t), 0 \leq t<1 \mathrm{~s}\).