exam 11 (81).pdf - Question Which of the following signals can be downsampled by a factor of 2 using the system in Figure 4.19 without any loss of

exam 11 (81).pdf - Question Which of the following signals...

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Question: Which of the following signals can be downsampled by a factor of 2 using the system in Figure 4.19 without any loss of information? Answer : Refer Figure 4.19 in the textbook for the compressor or digital-time sampler. The DTFT of down sampled signal is, Here, the signal is down sampled by a factor 2. So, substitute 2 for in the equation.
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(a) Consider the following signal: Calculate DTFT of the signal. The DTFT of down sampled signal is, Draw the waveforms of and for equals to 1.
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Figure 1 Since the spectra and overlap each other, there is a loss of information while down sampling the signal. (b) Consider the following signal: Calculate DTFT of the signal.
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The DTFT of down sampled signal is, Since there is no overlap of delta functions in spectrum , there is no loss of
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  • Spring '17
  • John DOe
  • English-language films, overlap of delta functions

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