) For the signals shown in below, a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch amplitude spectrum of the G(f). b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude spectrum of the G(f). c) What is the spectrum of a half-sine pulse in figure (b) having a duration equal to aT ? Sketch amplitude spectrum of the G(f).

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1) For the signals shown in below,
a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch
amplitude spectrum of the G(f).
b) Apply the time-shifting property to the result obtained in part (a) to
evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude
spectrum of the G(f).
c) What is the spectrum of a half-sine pulse in figure (b) having a duration
equal to aT ? Sketch amplitude spectrum of the G(f).
d) What is the spectrum of the negative half-sine pulse shown in figure (c)
? Sketch amplitude spectrum of the G(f).
e) Find the spectrum of the single sine pulse shown in figure (d). Sketch
amplitude spectrum of the G(f).

1) For the signals shown in below,
a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch
amplitude spectrum of the G(f).
b) Apply the time-shifting property to the result obtained in part (a) to
evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude
spectrum of the G(f).
c) What is the spectrum of a half-sine pulse in figure (b) having a duration
equal to aT ? Sketch amplitude spectrum of the G(f).
d) What is the spectrum of the negative half-sine pulse shown in figure (c)
? Sketch amplitude spectrum of the G(f).
e) Find the spectrum of the single sine pulse shown in figure (d). Sketch
amplitude spectrum of the G(f).
g(t)
g(f)
-T/4
0 T/4
T/2
(b)
g(f)
g(t)
-T/2
-T/2
0.
0.
T/2
-A
-A
(d)
Transcribed Image Text:1) For the signals shown in below, a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch amplitude spectrum of the G(f). b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude spectrum of the G(f). c) What is the spectrum of a half-sine pulse in figure (b) having a duration equal to aT ? Sketch amplitude spectrum of the G(f). d) What is the spectrum of the negative half-sine pulse shown in figure (c) ? Sketch amplitude spectrum of the G(f). e) Find the spectrum of the single sine pulse shown in figure (d). Sketch amplitude spectrum of the G(f). g(t) g(f) -T/4 0 T/4 T/2 (b) g(f) g(t) -T/2 -T/2 0. 0. T/2 -A -A (d)
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