| Line 4: | Line 4: | ||
y(t) = | y(t) = | ||
\int_{-\infty}^{t} cos(x)\, dx | \int_{-\infty}^{t} cos(x)\, dx | ||
| + | = -sin(t) | ||
</math> | </math> | ||
Revision as of 13:12, 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 = -sin(t) $
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 )a_k $
