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Question: 339 the process of recovering a signal g from the...

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3.3-9 The process of recovering a signal g(() from the modulated signal g(t) cos (2rt fot +60) is called demodulation. Show that the signal g() cos (2rfot +0o) can be demodulated by multiplying it with 2cos (2rtfot +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-| + cos 2r. Recognize that the spectrum of g(t) cos (4r/01+ 26) is centered at 2fo and will be suppressed by a lowpass filter of bandwidth B Hz.
3.3-9 The process of recovering a signal gt) from the modulated signal g0)cos(2fot+6o) is called demodulation. Show that the signal g() cos (2tfot +Bo) can be demodulated by multiplying it with 2cos(2tfor + 0o) and passing the product through a lowpass filter of bandwidth B Hz [the bandwidth of g(0)]. Assume Bfo Hint: 2 cos2 x-1-cos 2 r. Recognize that the spectrum of g(t) cos (4 2fo and will be suppressed by a lowpass filter of bandwidth B Hz. fot +260) ¡s centered at
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