Engr. AA transmits sound signal in the vacuum which can be expressed mathematically below: x(t) = cos(2000mt) + jsin(2n100t) + cos(-2000mt) + jsin(-2m100t) - 2cos (6000mt) However, though the signal was travelled through the vacuum, Engr. AA sought to convert the original signal to digital signal and thereafter translating to form of analog by means of modem. He wants to prove that sound signal can travel in the vacuum irrespective of the medium. Consequently, he drawn the block diagram of the modem (see fig. 1.35) and performed the following simulation below. Assume that you are Engr. AA. Analog input Band-limited signal Analog filter ADC Digital signal Processed digital signal DS processor DAC Output signal Reconstruction filter Analog output

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In figure 1.35 if fc = fs = 8kHz, sketch the spectrum of the signal y(t) for 0 ≤ f ≤ 8 kHz. Briefly point out the possible problems or limitations for processing x(t), if any.

Engr. AA transmits sound signal in the vacuum which can be expressed
mathematically below:
x(t) = cos(2000rt) + jsin(2n100t) + cos(-2000rt) + jsin(-2m100t)
- 2cos (6000rt)
However, though the signal was travelled through the vacuum, Engr. AA sought to
convert the original signal to digital signal and thereafter translating to form of analog
by means of modem. He wants to prove that sound signal can travel in the vacuum
irrespective of the medium. Consequently, he drawn the block diagram of the modem
(see fig. 1.35) and performed the following simulation below. Assume that you are
Engr. ÄA.
Band-limited
signal
Digital
signal
Processed
Analog
input
Output
signal
Analog
output
digital signal
Analog
filter
DS
Reconstruction
ADC
DAC
processor
filter
Transcribed Image Text:Engr. AA transmits sound signal in the vacuum which can be expressed mathematically below: x(t) = cos(2000rt) + jsin(2n100t) + cos(-2000rt) + jsin(-2m100t) - 2cos (6000rt) However, though the signal was travelled through the vacuum, Engr. AA sought to convert the original signal to digital signal and thereafter translating to form of analog by means of modem. He wants to prove that sound signal can travel in the vacuum irrespective of the medium. Consequently, he drawn the block diagram of the modem (see fig. 1.35) and performed the following simulation below. Assume that you are Engr. ÄA. Band-limited signal Digital signal Processed Analog input Output signal Analog output digital signal Analog filter DS Reconstruction ADC DAC processor filter
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