QUESTION 3 a) A siganl x(t) = te^-btu(t) + P5(t-3), find...

QUESTION 3 a) A siganl $x(t) = te^{-bt}u(t) + P_5(t-3)$, find its frequency transform b. Signal: $y(t) = ae^{-bt}u(t) + t^nu(t-3)$ find its Laplas transform Hint: use trandform pairs and properties

Question 3 (2 points): For the signal: g(t) = 12a / (t^2 + a^2) (a) What is the energy density function of g(t)? (b) Determine the essential bandwidth B Hz of g(t) such that the energy contained in the spectral components of g(t) of frequencies blow B Hz is 99% of the signal energy Eg Question 4 (3 points): A certain signal f (t) has the following power spectral density: Sf(w) = 1 / (1 + w^2) + delta(w - 2) + delta(w + 2) (a) What is the total mean power in f(t)? (b) What is the mean power in f (t) from the frequency 0.9 to the frequency 1.1 rad/s? (c) What is the mean power in f (t) from the frequency 1.9 to the frequency 2.1 rad/s? Hint: the power of a signal with spectral density function Sf (w) from the frequency a to frequency b(0 <= a <= b) is given as: P = 1 / (2*pi) * { integral from -b to -a of Sf(w)dw + integral from a to b of Sf(w)dw }

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QUESTION 3 a) A siganl $x(t) = te^{-bt}u(t) + P_5(t-3)$, find its frequency transform b. Signal: $y(t) = ae^{-bt}u(t) + t^nu(t-3)$ find its Laplas transform Hint: use trandform pairs and properties

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