Problem 7.5 (a) The magnitude and phase of X(jw) the Fourier transform of r(t) are shown below. +IX (jw)| arg X(jw) -WO Find the inverse Fourier transform, r(t), and plot your result. -woto +IX (jw)| 1 (b) Repeat part (a) by finding the inverse Fourier transform when the magnitude and phase are as given below. woto -1/2 Wo arg X(jw) T/2 نما (c) The signals defined in parts (a) and (b) have Fourier transforms with the same magnitude response but different phases. Discuss the effect of differing phase in the representation of these two signals.

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Problem 7.5
(a) The magnitude and phase of X(jw) the Fourier transform of r(t) are shown below.
↑IX (jw)|
arg X (jw)
لنا
اما
ولا
لنا
Find the inverse Fourier transform, r(t), and plot your result.
<-Wo
+IX (jw)|
f
انتا
-woto
(b) Repeat part (a) by finding the inverse Fourier transform when the magnitude and phase are
as given below.
woto
-T/2
ما
arg X (jw)
π/2
انما
(c) The signals defined in parts (a) and (b) have Fourier transforms with the same magnitude
response but different phases. Discuss the effect of differing phase in the representation of
these two signals.
Transcribed Image Text:Problem 7.5 (a) The magnitude and phase of X(jw) the Fourier transform of r(t) are shown below. ↑IX (jw)| arg X (jw) لنا اما ولا لنا Find the inverse Fourier transform, r(t), and plot your result. <-Wo +IX (jw)| f انتا -woto (b) Repeat part (a) by finding the inverse Fourier transform when the magnitude and phase are as given below. woto -T/2 ما arg X (jw) π/2 انما (c) The signals defined in parts (a) and (b) have Fourier transforms with the same magnitude response but different phases. Discuss the effect of differing phase in the representation of these two signals.
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