ECEN 314 - Exam I
Exam 1
Exam 1
Kartei Details
| Karten | 16 |
|---|---|
| Sprache | English |
| Kategorie | Elektrotechnik |
| Stufe | Grundschule |
| Erstellt / Aktualisiert | 09.02.2020 / 23.02.2020 |
| Lizenzierung | Keine Angabe |
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| Einbinden |
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Determine the value of \(P_\infty\) and \(E_\infty\) for a signal \(x(t)\).
\(E_\infty=\int_{-\infty}^\infty|x(t)|^2dt\)
\(P_\infty=\displaystyle{\lim_{T \to \infty}}\frac{1}{2T}\int_{-T}^T|x(t)|^2dt\)
What is the unit step function, \(u(t)\).
\(u(t)=\begin{cases} 0, t<0\\1,t\ge0\end{cases}\)
Determine the value of \(P_\infty\) and \(E_\infty\) for a discrete signal \(x[n]\).
\(E_\infty=\displaystyle{\sum_{n=-\infty}^{\infty}|x[n]|^2}\)
\(P_\infty=\displaystyle{\lim_{N \to \infty}}\frac{1}{2N+1}\sum_{n=-N}^{N}|x[n]|^2\)
Determine the value of \(P\) and \(E\) for a discrete signal \(x[n] \) over the timer priod \(t_1< t< t_2\).
\(N_0=|n_1|+|n_2|\)
\(E=\displaystyle{\sum_{n=n_1}^{n_2}|x[n]|^2}\)
\(P=\displaystyle{\frac{1}{N_0+1} \sum_{n=n_1}^{n_2}|x[n]|^2}\)
