Parsavel's Theorem

#Math

$\displaystyle \frac{1}{T_{0}}\int_{t_{0}}^{t_{0}+T_{0}} \lvert x(t)\rvert^{2} , \mathrm{d}t=\sum_{k = -\infty}^{\infty}\lvert c_{k}\rvert^{2}$

• Says the signal power in the time domain is the same as the sum of powers of its frequency components