4.2-4 You are asked to design a DSB-SC modulator to generate a modulated signal km(t) cos (wei+0), where m(t) is a signal band-limited to B Hz. Figure P4.2-4 shows a DSB-SC modulator available in the stock room. The carrier generator available generates not cos wet, but cos wct. Explain whether you would be able to generate the desired signal using only this equipment. You may use any kind of filter you like. (a) What kind of filter is required in Fig. P4.2-3? (b) Determine the signal spectra at points b and e, and indicate the frequency bands occupied by these spectra. (c) What is the minimum usable value of we? (d) Would this scheme work if the carrier generator output were sin³ wct? Explain. (f) Would this scheme work if the carrier generator output were cos" wet for any integer n 2 2? M(S) m(t) km(t) cos w̟t Filter cos' w̟t --B B (а) (b)

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4.2-4 You are asked to design a DSB-SC modulator to generate a modulated signal km(t) cos (wei+0),
where m(t) is a signal band-limited to B Hz. Figure P4.2-4 shows a DSB-SC modulator available
in the stock room. The carrier generator available generates not cos wet, but cos wet. Explain
whether you would be able to generate the desired signal using only this equipment. You may
use any kind of filter you like.
(a) What kind of filter is required in Fig. P4.2-3?
(b) Determine the signal spectra at points b and c, and indicate the frequency bands occupied
by these spectra.
(c) What is the minimum usable value of wc?
(d) Would this scheme work if the carrier generator output were sin³ wet? Explain.
(f) Would this scheme work if the carrier generator output were cos" wet for any integer n> 2?
M(f)
m(t)
km(t) cos wt
Filter
cos' wt
-B
B
(a)
(b)
Transcribed Image Text:4.2-4 You are asked to design a DSB-SC modulator to generate a modulated signal km(t) cos (wei+0), where m(t) is a signal band-limited to B Hz. Figure P4.2-4 shows a DSB-SC modulator available in the stock room. The carrier generator available generates not cos wet, but cos wet. Explain whether you would be able to generate the desired signal using only this equipment. You may use any kind of filter you like. (a) What kind of filter is required in Fig. P4.2-3? (b) Determine the signal spectra at points b and c, and indicate the frequency bands occupied by these spectra. (c) What is the minimum usable value of wc? (d) Would this scheme work if the carrier generator output were sin³ wet? Explain. (f) Would this scheme work if the carrier generator output were cos" wet for any integer n> 2? M(f) m(t) km(t) cos wt Filter cos' wt -B B (a) (b)
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