You are asked to design a DSB-SC modulator to generate a modulated signal km(t) cos o,t, where m(t) is a signal band-limited to 28 Hz (Fig. 1a). Figure 1b shows a DSB-SC modulator available in the stockroom. The carrier generator available generates not cos w,t, but cos3,t. a. Explain whether you would be able to generate the desired signal using only this equipment. What kind of filter is required and what is the value of k? 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?

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You are asked to design a DSB-SC modulator to generate a modulated signal km(t) cos w,t, where m(t) is a
signal band-limited to 28 Hz (Fig. 1a). Figure 1b shows a DSB-SC modulator available in the stockroom.
The carrier generator available generates not cos wt, but cos30,t.
a. Explain whether you would be able to generate the desired signal using only this equipment.
What kind of filter is required and what is the value of k?
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 cos2 wct? Explain.
e. Would this scheme work if the carrier generator output were cosn wct for anv integer n 2 2?
M(w)
km(t) cos wt
Filter
m(t
-4nB
4nB
Fig. 1a
Fig. 1b
cos3w,
Transcribed Image Text:You are asked to design a DSB-SC modulator to generate a modulated signal km(t) cos w,t, where m(t) is a signal band-limited to 28 Hz (Fig. 1a). Figure 1b shows a DSB-SC modulator available in the stockroom. The carrier generator available generates not cos wt, but cos30,t. a. Explain whether you would be able to generate the desired signal using only this equipment. What kind of filter is required and what is the value of k? 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 cos2 wct? Explain. e. Would this scheme work if the carrier generator output were cosn wct for anv integer n 2 2? M(w) km(t) cos wt Filter m(t -4nB 4nB Fig. 1a Fig. 1b cos3w,
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