(New page: ==Define a periodic DT signal and compute its Fourier series coefficients. ==) |
|||
| Line 1: | Line 1: | ||
==Define a periodic DT signal and compute its Fourier series coefficients. == | ==Define a periodic DT signal and compute its Fourier series coefficients. == | ||
| + | For CT, | ||
| + | |||
| + | <math>x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t}</math> | ||
| + | |||
| + | where | ||
| + | |||
| + | <math>a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt</math>. | ||
| + | |||
| + | Let the signal be | ||
Revision as of 09:16, 25 September 2008
Define a periodic DT signal and compute its Fourier series coefficients.
For CT,
$ x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t} $
where
$ a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt $.
Let the signal be
