Fig. 1.35 shows the block diagram of a certain DSP system, given the fs is the sampling frequency used and X(t) = cos (2000πt) + 2cos (4000πt) + 3cos (10000 πt) If fc = 4kHz and fs = 8kHz, sketch the spectrum of the signal y(t) for 0 ≤ f ≤ 8kHz. Briefly point out the possible problems or limitations for processing x(t), if any.

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Fig. 1.35 shows the block diagram of a certain DSP system, given the fs is the sampling frequency used and

X(t) = cos (2000πt) + 2cos (4000πt) + 3cos (10000 πt)

If fc = 4kHz and fs = 8kHz, sketch the spectrum of the signal y(t) for 0 ≤ f ≤ 8kHz. Briefly point out the possible problems or limitations for processing x(t), if any.

x(t)
Ideal low pass
Sample
and hold
y(t)
Ideal low pass
filter with cutoff
ADC
DAC
filter with cutoff
frequency, f.
frequency, f.
FIGURE 1.35 A simple DSP system
Transcribed Image Text:x(t) Ideal low pass Sample and hold y(t) Ideal low pass filter with cutoff ADC DAC filter with cutoff frequency, f. frequency, f. FIGURE 1.35 A simple DSP system
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