# Electrical Engineering - EEE

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GATE 2008   EE   Question No. 39

Let $x\left(t\right)=rect\left(t-\frac{1}{2}\right)$ (where rect(x)=1 for $-\frac{1}{2}\le x\le \frac{1}{2}$ and zero otherwise). Then if $\mathrm{sin}c\left(x\right)=\frac{\mathrm{sin}\left(\mathrm{\pi x}\right)}{\mathrm{\pi x}},$, the Fourier Transform of x(t)+x(-t) will be given by