m (New page: ==Difficult Concepts== Im having difficulty with D.T. Fourier Transforms <math> \chi(\omega) = F(x[n]) = \sum_{n=-\infty}^\infty x[n]e^{-j\omega n} </math>) |
(→Difficult Concepts) |
||
| (One intermediate revision by the same user not shown) | |||
| Line 4: | Line 4: | ||
<math> \chi(\omega) = F(x[n]) = \sum_{n=-\infty}^\infty x[n]e^{-j\omega n} </math> | <math> \chi(\omega) = F(x[n]) = \sum_{n=-\infty}^\infty x[n]e^{-j\omega n} </math> | ||
| + | |||
| + | <math> x[n] = \frac{1}{2\pi} \int_{2\pi} \chi(e^{j\omega})e^{j\omega n} d\omega </math> | ||
| + | |||
| + | |||
| + | Im having a hard time visualizing how you can transform from a DT signal to the frequency domain with a summation and back again with an integral. Is information conserved here? | ||
Latest revision as of 13:22, 8 October 2008
Difficult Concepts
Im having difficulty with D.T. Fourier Transforms
$ \chi(\omega) = F(x[n]) = \sum_{n=-\infty}^\infty x[n]e^{-j\omega n} $
$ x[n] = \frac{1}{2\pi} \int_{2\pi} \chi(e^{j\omega})e^{j\omega n} d\omega $
Im having a hard time visualizing how you can transform from a DT signal to the frequency domain with a summation and back again with an integral. Is information conserved here?
