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1-D Case

$\begin{displaymath} X(\underline{\omega})=\frac{1}{\vert \det\underline{V}\vert}... ...a({\underline{V}}^{-t} (\underline{\omega}-2\pi\underline{k})) \end{displaymath}$

$\begin{displaymath} X(\underline{\omega})= \frac{1}{T}\sum_{k}X_a(\frac{\omega}{T}-\frac{2\pi{k}}{T}) \end{displaymath}$

Sampling Density = $\frac{1}{T}$ samples/sec.
Preventing aliasing requires $2\omega<\frac{2\pi}{T}\: or \: \omega<\frac{\pi}{T}$

Brian L. Evans