Question

? 350 300 250 200 150 100 50 0 0 20 40 60 80 100 120 Sample The frequency spectrum from a voltage sensor, V is shown in the figure above. V was calculated using 100 point DFT and the signal v is sampled at 10k sample per second. What is the frequency of the second peak from the left? Explain how you arrived at the answer.

          ?
350
300
250
200
150
100
50
0
0
20
40
60
80
100
120
Sample
The frequency spectrum from a voltage sensor, V is shown in the figure above. V was
calculated using 100 point DFT and the signal v is sampled at 10k sample per second.
What is the frequency of the second peak from the left? Explain how you arrived at the
answer.

?
350
300
250
200
150
100
50
0
0
20
40
60
80
100
120
Sample
The frequency spectrum from a voltage sensor, V is shown in the figure above. V was
calculated using 100 point DFT and the signal v is sampled at 10k sample per second.
What is the frequency of the second peak from the left? Explain how you arrived at the
answer.

Added by Sarah S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Cyra Jelle Calleja

Step 1

In this case, x[n] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], k = 4, and N = 10. So, plugging in the values, we have: X[4] = 1*W^(0*4) + 2*W^(1*4) + 3*W^(2*4) Since W^(0*4) = W^0 = 1, W^(1*4) = W^4, and W^(2*4) = W^8, we can simplify the equation to: X[4] = 1 + 2*W^4 Show more…

Show all steps

Thanks for your feedback!

Given x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], find the 3-point DFT of X[4]. From this second question, we know that k = 4, N = 10. So, the 3-point DFT of X[4], does it mean we only use x[n] = 1, 2, 3 to find X[4]? 200 150 20 80 100 120 The frequency spectrum from a voltage sensor, V, is shown in the figure above. V was calculated using a 100-point DFT, and the signal v is sampled at 10k samples per second. What is the frequency of the second peak from the left? Explain how you arrived at the answer.