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Revision as of 15:00, 14 November 2018
CT Fourier Series for periodic signals and some properties with proofs
- Fourier series of periodic signals
| border="1" class="wikitable" |- ! Function ! Fourier Series ! Proof |-
|$ sin(\omega_0t) $ |$ \frac{1}{2j}e^{j\omega_0 t} - \frac{1}{2j}e^{-j\omega_0 t} $ | |-
|$ cos(\omega_0t) $ |$ \frac{1}{2}e^{j\omega_0 t} + \frac{1}{2}e^{-j\omega_0 t} $ | |-
|$ e^{\alpha t}u(t) $ |$ \frac{1}{\alpha + j\omega} $ | |-