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== Some Fourier series == | == Some Fourier series == | ||
Revision as of 15:23, 12 February 2011
Table of CT Fourier series coefficients and properties
- THIS PAGE IS STILL UNDER CONSTRUCTION
- You may want to switch the titles of the second and third column. -pm
Some Fourier series
| Function | Coefficients | Fourier Series |
|---|---|---|
| $ sin(w_0t) $ | $ \frac{1}{2j}e^{jw_0t}-\frac{1}{2j}e^{-jw_0t} $ | $ a_1=\frac{1}{2j}, a_{-1}=\frac{-1}{2j}, a_k=0 \mbox{ for } k \ne 1,-1 $ |
| $ cos(w_0t) $ | $ \frac{1}{2}e^{jw_0t}+\frac{1}{2}e^{-jw_0t} $ | $ a_1=\frac{1}{2}, a_{-1}=\frac{1}{2}, a_k=0 \mbox{ for } k \ne 1,-1 $ |
Properties of CT Fourier systems
| Property | Periodic Signal | Fourier Series Coefficients |
|---|---|---|
