| title |
|---|
Transformada de Fourier |
F(\omega) = \int_{-\infty}^{\infty} f(t) \cdot e^{-j\omega t} \, dt
f(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty} F(\omega) \cdot e^{j\omega t} \, d\omega
\mathcal{F}\{af(t) + bg(t)\} = aF(\omega) + bG(\omega)
\mathcal{F}\{f(t - t_0)\} = F(\omega)e^{-i\omega t_0}
\mathcal{F}\{e^{i\omega_0 t}f(t)\} = F(\omega - \omega_0)
F(-\omega) = F^*(\omega)
- Convolución de Tiempo Continuo y el CTFT. (2022, October 30). Rice University. https://espanol.libretexts.org/@go/page/86343
\mathcal{F}\left\{f * g\right\} = \mathcal{F}\left\{f\right\} \cdot \mathcal{F}\left\{g\right\}
\mathcal{F}\left\{f \cdot g\right\} = \frac{1}{2\pi} \mathcal{F}\left\{f\right\} * \mathcal{F}\left\{g\right\}