1.

A signal x(t) has the Fourier transform X(j ) having the following facts:
F-1{(1+j ) X(j )} = Ae-2t u(t) and ( int_{- }^ |X(j )|^2 ,d = 2 )

A. nThe signal x (t) is ___________
B. ( sqrt{3} ) (e<sup>-t</sup> e<sup>-2t</sup>)u(t)
C. ( sqrt{12} ) (e<sup>-t</sup> e<sup>-2t</sup>)u(t)
D. ( sqrt{3} ) (e<sup>-2t</sup> e<sup>-t</sup>)u(t)
E. ( sqrt{12} ) (e<sup>-2t</sup> e<sup>-t</sup>)u(t)
Answer» C. ( sqrt{12} ) (e<sup>-t</sup> e<sup>-2t</sup>)u(t)


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