Homework

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Homework #9

Problem Statement:
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
And find c.

Equations:
 
\left \langle \phi_k(t) \| \phi_l(t) \right \rangle=\int_{-\infty}^{\infty} \phi_k(t)* \phi_l(t)\,dt