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} $ | |-