Systems

The Fourier transform X($\omega$) of the signal x(t) is given by $X(\omega) = 1$, for $|\omega| W_0$ Which one of the following statements is true?

For the signals x(t) and y(t) shown in the figure, z(t) = x(t) * y(t) is maximum at t = T₁. Then T₁ in seconds is __________. (Round off to the nearest integer).

The Fourier transform of a continuous-time signal x(t) is given by X(ω) = 1 / (10+jω)^2, -∞ < ω < ∞, where j=√-1 and ω denotes frequency. Then the value of |ln x(t)| at t =1 is ___...