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|<math>e^{\alpha t}u(t) </math>
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|<math>e^{\j\omega_0t}u(t) </math>
 
|<math>\frac{1}{\alpha + j\omega} </math>
 
|<math>\frac{1}{\alpha + j\omega} </math>
 
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Revision as of 15:02, 14 November 2018


CT Fourier Series for periodic signals and some properties with proofs

- Fourier series of periodic signals
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^{\j\omega_0t}u(t) $ $ \frac{1}{\alpha + j\omega} $

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang