| Line 9: | Line 9: | ||
<math> | <math> | ||
| − | \left ( \frac{1}{jk\omega_0} \right ) | + | \left ( \frac{1}{jk\omega_0} \right )a_k |
= | = | ||
\left ( \frac{1}{jk \left (2\pi/T \right)} \right ) | \left ( \frac{1}{jk \left (2\pi/T \right)} \right ) | ||
</math> | </math> | ||
Revision as of 11:59, 26 September 2008
The function y(t) in this example is the signal equal to the periodic continuous-time integral of cos(x) such that
$ y(t) = \int_{-\infty}^{t} cos(x)\, dx $
where its Fourier series coefficients are described by the equation
$ \left ( \frac{1}{jk\omega_0} \right )a_k = \left ( \frac{1}{jk \left (2\pi/T \right)} \right ) $
