| Line 12: | Line 12: | ||
</math> | </math> | ||
| − | + | and its Fourier series coefficients are described by the equation | |
<math> | <math> | ||
| − | \left ( | + | \left ( t \right ) |
| − | + | ||
| − | + | ||
</math> | </math> | ||
Revision as of 12:25, 26 September 2008
The function y(t) in this example is the periodic continuous-time signal cos(x) such that
$ y(t) = \ cos(t) $
where cos(x) can be expressed by the Maclaurin series expansion
$ \ cos(t) = \sum_{n=0}^\infty \left (-1 \right )^n \frac{t^{2n}}{ \left(2n \right )!} $
and its Fourier series coefficients are described by the equation
$ \left ( t \right ) $
