# Difference between revisions of "Homework"

Show that, for a bandwidth limited signal ($x(t)$ with $f_{max} < {1\over {2T}}$)
$\sum_{k=-\infty}^{\infty} \left | x(kT) \right | ^2 =c\int_{-\infty}^{\infty} \left | x(t) \right | ^2\,dt$
$\left \langle \phi_k(t) \| \phi_l(t) \right \rangle=\int_{-\infty}^{\infty} \phi_k(t)* \phi_l(t)\,dt$