GATE EE 2019 Set 1 — Question 16
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Signals & Systems → Fourier Analysis & Sampling → Frequency Response
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Question
A system transfer function is . If , and all other coefficients are positive, the transfer function represents a
Correct answer
(A) low pass filter
Solution
Given with , the transfer function becomes .
Evaluating the frequency response:
Evaluating the frequency response:
- At (), , which is a non-zero constant.
- As (), .
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