Energy and Power of Discrete Signals

  • Energy of a discrete signal : \(E_n=\sum_{n=-\infty}^{\infty}\left|x\left(n\right)\right|^2\)

  • Power of a discrete signal : \(P_n= \lim \limits_{K \to +\infty}\frac{1}{K}\displaystyle\sum_{i=1}^{10}\lvert x(n) \rvert^2\)

Example

Example :

Power of the discrete unit stage u(n) :

\(P_n=\begin{matrix}lim\\K\rightarrow+\infty\\\end{matrix}\sum_{-\frac{K}{2}}^{\frac{K}{2}}\left|1\right|^2=\frac{1}{2}\)