How do I calculate the Fourier transform of $\operatorname{sinc}^2\left ( \pi \frac{t-T}{\pi} \right )$?
$\frac{\sin t}{t}\;\substack{\mathcal{F}\\ \leftrightarrow} \; \pi \mathrm{rect}\frac \omega 2 = \pi \cdot\begin{cases}0 & \mbox{if } |\omega | > 1 \\\frac{1}{2} & \mbox{if } |\omega | = 1\\1 & \mbox{if } |\omega | < 1. \\ \end{cases}$
and than I would do $sinc(t)^2$ but I always get wrong result.