1.

A signal x(t) has the Fourier transform X(jω) having the following facts:F-1{(1+jω) X(jω)} = Ae-2t u(t) and \(\int_{-∞}^∞ |X(jω)|^2 \,dω = 2π\) The signal x (t) is ___________

A. \(\sqrt{3}\) (e-t – e-2t)u(t)
B. \(\sqrt{12}\) (e-t – e-2t)u(t)
C. \(\sqrt{3}\) (e-2t – e-t)u(t)
D. \(\sqrt{12}\) (e-2t – e-t)u(t)
Answer» C. \(\sqrt{3}\) (e-2t – e-t)u(t)


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