| Line 5: | Line 5: | ||
\ cos(x) | \ cos(x) | ||
</math> | </math> | ||
| + | |||
| + | where cos(x) can be expressed by the Maclaurin series expansion | ||
| + | |||
| + | <math> | ||
| + | \ cos(x) = | ||
where its Fourier series coefficients are described by the equation | where its Fourier series coefficients are described by the equation | ||
Revision as of 12:18, 26 September 2008
The function y(t) in this example is the periodic continuous-time signal cos(x) such that
$ y(t) = \ cos(x) $
where cos(x) can be expressed by the Maclaurin series expansion
$ \ cos(x) = where its Fourier series coefficients are described by the equation <math> \left ( \frac{1}{jk\omega_0} \right )a_k = \left ( \frac{1}{jk \left (2\pi/T \right)} \right )a_k $
