Question

3. Page 3/5 (a) From the definition $X(\omega) = \int_{-\infty}^{\infty} x(t)e^{-j\omega t}dt$ find the Fourier transform of the signal x(t). (10 points) (b) From the definition, $x(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty} X(\omega)e^{j\omega t} d\omega$, find the inverse Fourier Transform of X(?)=?(?) (unit impulse) (5 points)

          3.
Page 3/5
(a) From the definition $X(\omega) = \int_{-\infty}^{\infty} x(t)e^{-j\omega t}dt$ find the Fourier transform of the signal x(t). (10 points)
(b) From the definition, $x(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty} X(\omega)e^{j\omega t} d\omega$, find the inverse Fourier Transform of X(?)=?(?) (unit impulse) (5 points)

3.
Page 3/5
(a) From the definition X(ω) = ∫-∞^∞ x(t)e^-jω tdt find the Fourier transform of the signal x(t). (10 points)
(b) From the definition, x(t) = (1)/(2π)∫-∞^∞ X(ω)e^jω t dω, find the inverse Fourier Transform of X(?)=?(?) (unit impulse) (5 points)

Added by Carla N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hunza Gilgit

Step 1

a) From the definition X = e/t, we can rewrite it as X = 1/t * e. Show more…

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a) From the definition X = e/t, find the Fourier transform of the signal x(t). (10 points) b) From the definition x(t) = x(Ï‰)e^(jÏ‰t), find the inverse Fourier Transform of X(Ï‰) = [unit impulse]/s. (5 points)