Figure P5.6.1 shows a real signal ₁ [n] and the magnitude of its Fourier transform |X₁(e). The same figure also includes the Fourier transform magnitude X2(e) for another real signal 22[n], which is not shown in Figure P5.6.1 jul'x Time (samples) 100 I'x 67 -0.5 0 0.5 Frequency (') 1

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Figure P5.6.1 shows a real signal ₁ [n] and the magnitude of its Fourier transform |X₁(e). The same figure
also includes the Fourier transform magnitude X₂(e) for another real signal x2[n], which is not shown in
Figure P5.6.1
lux
-100
0
141%
50
Time (samples)
-50
Time (samples)
100
50
Time (samples)
xx,(0%)
Kofx
100
14%
20
lux
15
10
67
20
15
10
5
-0.5
Figure P5.6.1: Signal r₁ [n] and the Fourier transform magnitudes X₁(e) and X₂(e)|
Which of the four signals in Figure P5.6.2 are consistent with the information given about 2 [n] in Fig-
ure P5.6.1? You may assume that the signals are essentially zero outside the region shown. Justify your
answer. Answers without justification will receive no credit.
-0.5
0
Frequency (x)
Frequency (')
50
Time (samples)
Figure P5.6.2: Signals A[n] through ap[n]
50
Time (samples)
0.5
0.5
1
1
100
100
Transcribed Image Text:Figure P5.6.1 shows a real signal ₁ [n] and the magnitude of its Fourier transform |X₁(e). The same figure also includes the Fourier transform magnitude X₂(e) for another real signal x2[n], which is not shown in Figure P5.6.1 lux -100 0 141% 50 Time (samples) -50 Time (samples) 100 50 Time (samples) xx,(0%) Kofx 100 14% 20 lux 15 10 67 20 15 10 5 -0.5 Figure P5.6.1: Signal r₁ [n] and the Fourier transform magnitudes X₁(e) and X₂(e)| Which of the four signals in Figure P5.6.2 are consistent with the information given about 2 [n] in Fig- ure P5.6.1? You may assume that the signals are essentially zero outside the region shown. Justify your answer. Answers without justification will receive no credit. -0.5 0 Frequency (x) Frequency (') 50 Time (samples) Figure P5.6.2: Signals A[n] through ap[n] 50 Time (samples) 0.5 0.5 1 1 100 100
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