Question

The magnitude and phase spectra of the Fourier Transform of the function x(t) are shown below |X(f)| 1 -2 -1 0 1 2 f Hz X(f) ?/2 1 2 f Hz -2 -1 0 Plot the magnitude spectrum (5 points) and phase spectrum (10 points) of the derivative function y(t) = x'(t) in the spaces provided below. Don't forget to indicate the units on the vertical axis. Note: Given the Fourier Transform pair x(t) ? X(f), then y(t) = x'(t) ? (j2?f) X(f) |Y (f)| f Hz -2 -1 0 1 2 ?Y (f) 1 2 f Hz -2 -1 0

          The magnitude and phase spectra of the Fourier Transform of the function x(t) are shown below
|X(f)|
1
-2 -1 0 1 2
f Hz
X(f)
?/2
1
2
f Hz
-2 -1 0
Plot the magnitude spectrum (5 points) and phase spectrum (10 points) of the derivative function
y(t) = x'(t) in the spaces provided below. Don't forget to indicate the units on the vertical axis.
Note: Given the Fourier Transform pair x(t) ? X(f), then y(t) = x'(t) ? (j2?f) X(f)
|Y (f)|
f Hz
-2 -1 0 1 2
?Y (f)
1
2
f Hz
-2 -1 0

Show more…

The magnitude and phase spectra of the Fourier Transform of the function x(t) are shown below
|X(f)|
1
-2 -1 0 1 2
f Hz
X(f)
?/2
1
2
f Hz
-2 -1 0
Plot the magnitude spectrum (5 points) and phase spectrum (10 points) of the derivative function
y(t) = x'(t) in the spaces provided below. Don't forget to indicate the units on the vertical axis.
Note: Given the Fourier Transform pair x(t) ? X(f), then y(t) = x'(t) ? (j2?f) X(f)
|Y (f)|
f Hz
-2 -1 0 1 2
?Y (f)
1
2
f Hz
-2 -1 0

Added by Michelle M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Rajesh Kumar

Step 1

First, we need to find the Fourier Transform of the derivative function yt=xt. According to the given Fourier Transform pair, we have yt = x^2 * xf * Xf. Show more…

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The magnitude and phase spectra of the Fourier Transform of the function x are shown below: Ix(3) OH 1 X(f) x/2 Plot the magnitude spectrum (5 points) and phase spectrum (10 points) of the derivative function yt=xt in the spaces provided below. Don't forget to indicate the units on the vertical axis. Note: Given the Fourier Transform pair xt <-> Xf, then yt=x^2 * xf * Xf. 1Y() fH 1Y(9 fH

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