DT Fourier Transform Properties
* DT Fourier Transform Multiplication x[n]y[n]\longleftrightarrow \frac{1}{2\pi} \int_{2\pi} X(e^{j\theta})Y(e^{j(\omega-\theta)})d\theta * DT Fourier Transform Convolution x[n]*y[n] = X(e^{jw})Y(e^{jw}) \! * DT Fourier Transform Time Reversal \ x[-n] \longleftrightarrow X(e^{-j \omega}) * DT Fourier Transform Duality F(x(t)) = X(w) \longleftrightarrow F(X(t)) = 2\pi x(-w)