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3.3-10 The process of recovering a signal g(t) from the modulated signal g(t)cos 2n fot is called demodulation. Show that the signal g (1) cos 27fot can be demodulated by multiplying it by 2 cos 2nfof and passing the product through a low-pass filter of bandwidth B Hz [the bandwidth of g(t)]. Assume B < fo. Hint: 2 cos 27fof = 1 + cos 4afot. Recognize that the spectrum of g(t)cos 4n fgt is centered at 2fo and will be suppressed by a low-pass filter of bandwidth B Hz.

3.3-10 The process of recovering a signal g(t) from the modulated signal g(t)cos 2n fot is called demodulation. Show that the signal g (1) cos 27fot can be demodulated by multiplying it by 2 cos 2nfof and passing the product through a low-pass filter of bandwidth B Hz [the bandwidth of g(t)]. Assume B < fo. Hint: 2 cos 27fof = 1 + cos 4afot. Recognize that the spectrum of g(t)cos 4n fgt is centered at 2fo and will be suppressed by a low-pass filter of bandwidth B Hz.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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3.3-10

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3.3-10 The process of recovering a signal g(t) from the modulated signal g(t)cos 2nfot is called demodulation. Show that the signal g(1) cos 27fot can be demodulated by multiplying it by 2 cos 27fot and passing the product through a low-pass filter of bandwidth B Hz [the bandwidth of g(t)]. Assume B < fo. Hint: 2 cos² 2nfof = 1 + cos 47fot. Recognize that the spectrum of g(t) cos 4nfot is centered at 2fo and will be suppressed by a low-pass filter of bandwidth B Hz.
Transcribed Image Text:3.3-10 The process of recovering a signal g(t) from the modulated signal g(t)cos 2nfot is called demodulation. Show that the signal g(1) cos 27fot can be demodulated by multiplying it by 2 cos 27fot and passing the product through a low-pass filter of bandwidth B Hz [the bandwidth of g(t)]. Assume B < fo. Hint: 2 cos² 2nfof = 1 + cos 47fot. Recognize that the spectrum of g(t) cos 4nfot is centered at 2fo and will be suppressed by a low-pass filter of bandwidth B Hz.
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