3.3-9 The process of recovering a signal g(t) from the modulated signal g(t) cos (2лfot +00) is called demodulation. Show that the signal g(t) cos (2лfot +00) can be demodulated by multiplying it with 2 cos (2лfot+00) and passing the product through a lowpass filter of bandwidth B Hz [the bandwidth of g(t)]. Assume B

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3.3-9 The process of recovering a signal g(t) from the modulated signal g(t) cos (2лfot +00) is called
demodulation. Show that the signal g(t) cos (2лfot +00) can be demodulated by multiplying it
with 2 cos (2лfot+00) and passing the product through a lowpass filter of bandwidth B Hz [the
bandwidth of g(t)]. Assume B <fo.
Hint: 2 cos² x=1+ cos 2x. Recognize that the spectrum of g(t) cos (4лfot+200) is centered at
2fo and will be suppressed by a lowpass filter of bandwidth B Hz.
Transcribed Image Text:3.3-9 The process of recovering a signal g(t) from the modulated signal g(t) cos (2лfot +00) is called demodulation. Show that the signal g(t) cos (2лfot +00) can be demodulated by multiplying it with 2 cos (2лfot+00) and passing the product through a lowpass filter of bandwidth B Hz [the bandwidth of g(t)]. Assume B <fo. Hint: 2 cos² x=1+ cos 2x. Recognize that the spectrum of g(t) cos (4лfot+200) is centered at 2fo and will be suppressed by a lowpass filter of bandwidth B Hz.
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