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?

Alumni Liaison

Sees the importance of signal filtering in medical imaging

Dhruv Lamba, BSEE2010