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The pole-zero plots of three discrete-time systems P, Q and R on the z-plane are shown below.
Which one of the following is TRUE about the frequency selectivity of these systems?
  • a)
    All three are high-pass filters.
  • b)
    All three are band-pass filters.
  • c)
    All three are low-pass filters.
  • d)
    P is a low-pass filter, Q is a band-pass filter and R is a high-pass filter.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The pole-zero plots of three discrete-time systems P, Q and R on the z...
Ω = 0 rad / samples reprsent low frequencies
Ω = π rad / samples reprsent high frequencies Since zeros are located at Ω = 0 rad / samples and Ω = πrad / samples they cannot be high pass and low pass filters. Thus they all represent band pass filters.
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The pole-zero plots of three discrete-time systems P, Q and R on the z-plane are shown below.Which one of the following is TRUE about the frequency selectivity of these systems?a)All three are high-pass filters.b)All three are band-pass filters.c)All three are low-pass filters.d)P is a low-pass filter, Q is a band-pass filter and R is a high-pass filter.Correct answer is option 'B'. Can you explain this answer?
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