GATE EE 2017 Set 2 — Question 4
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Signals & Systems → Fourier Analysis & Sampling → Frequency Response
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Question
The pole-zero plots of three discrete-time systems P, Q and R on the -plane are shown below.Which one of the following is TRUE about the frequency selectivity of these systems?
Correct answer
(B) All three are band-pass filters.
Solution
The frequency response of a discrete-time system is evaluated on the unit circle where ranges from to .
1.System P: Has poles at , which corresponds to . This emphasizes low frequencies, making it a low-pass filter.
2.System Q: Has poles at , which corresponds to . This emphasizes frequencies in the middle of the range, making it a band-pass filter.
3.System R: Has poles at , which corresponds to . This emphasizes high frequencies, making it a high-pass filter.
Thus, option (D) is correct.Continue learning with Success Tracker
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