Question

4. The following shows the Fourier transform $X(j\omega)$ of the signal $x(t)$: $X(j\omega)$ Plot the Fourier transform of each of the following signals. Be sure to label your plot as accurately as possible. You do not need to find $x(t)$ to solve this problem. (a) $y(t) = x(t)e^{j3t}$ (b) $y(t) = x(t) \cdot \frac{\sin(t/2)}{\pi t}$ (As usual, $\cdot$ indicates convolution.) (c) $y(t) = x(t)\delta(t)$

          4. The following shows the Fourier transform $X(j\omega)$ of the signal $x(t)$:

$X(j\omega)$

Plot the Fourier transform of each of the following signals. Be sure to label your plot as accurately as possible. You do not need to find $x(t)$ to solve this problem.
(a) $y(t) = x(t)e^{j3t}$
(b) $y(t) = x(t) \cdot \frac{\sin(t/2)}{\pi t}$ (As usual, $\cdot$ indicates convolution.)
(c) $y(t) = x(t)\delta(t)$

4. The following shows the Fourier transform X(jω) of the signal x(t):

X(jω)

Plot the Fourier transform of each of the following signals. Be sure to label your plot as accurately as possible. You do not need to find x(t) to solve this problem.
(a) y(t) = x(t)e^j3t
(b) y(t) = x(t) ·(sin(t/2))/(π t) (As usual, · indicates convolution.)
(c) y(t) = x(t)δ(t)

Added by Victoria T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Dharmendra Maheshwari

Step 1

Signal ay = x1e^3: To find the Fourier transform of this signal, we can use the time-shifting property of the Fourier transform. The time-shifting property states that if the Fourier transform of a signal x(t) is X(jw), then the Fourier transform of x(t - t0) is Show more…

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The following shows the Fourier transform X(jw) of the signal z X(jw). Plot the Fourier transform of each of the following signals. Be sure to label your plot as accurately as possible. You do not need to find r to solve this problem. ay = x1e^3, by1 = x1sin(2) (As usual, * indicates convolution.) cyt = x^181.