A signal is represented by\(x\left( t \right) = \left\{ {\begin{array}{*{20}{c}}1&{\left| t \right|}&{ < 1}\\0&{\left| t \right|}&{ > 1}\end{array}} \right.\)The Fourier transform of the convolved signal y(t) = x(2t) * x(t/2) is

• A. \(\frac{4}{{{\omega ^2}}}\sin \left( {\frac{\omega }{2}} \right){\rm{sin}}\left( {2\omega } \right)\)
• B. \(\frac{4}{{{\omega ^2}}}\sin \left( {\frac{\omega }{2}} \right)\)
• C. \(\frac{4}{{{\omega ^2}}}\sin \left( {2\omega } \right)\)
• D. \(\frac{4}{{{\omega ^2}}}{\sin ^2}\omega\)