GATE EC 2020 Set 1 — Question 24
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Signals & Systems → LTI Systems → Differential & Difference Equations
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Question
Which one of the following pole-zero plots corresponds to the transfer function of an LTI system characterized by the input-output difference equation given below?
Correct answer
(A) [figure]
Solution
The given difference equation is . Taking the Z-transform, we get . The transfer function is . Poles: The denominator is , so there is a order pole at .Zeros: The numerator is . The zeros are at . This corresponds to the plot in option (A).
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