Energy (signal processing)

In signal processing, the energy ${\displaystyle E_{s}}$ of a continuous-time signal x(t) is defined as the area under the squared magnitude of the considered signal i.e., mathematically

${\displaystyle E_{s}\ \ =\ \ \langle x(t),x(t)\rangle \ \ =\int _{-\infty }^{\infty }{|x(t)|^{2}}dt}$

Unit of ${\displaystyle E_{s}}$will be (unit of signal)².

And the energy ${\displaystyle E_{s}}$ of a discrete-time signal x(n) is defined mathematically as

${\displaystyle E_{s}\ \ =\ \ \langle x(n),x(n)\rangle \ \ =\sum _{n=-\infty }^{\infty }{|x(n)|^{2}}}$