GATE EE 2025 Set 1 — Question 61
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Question
An ideal low pass filter has frequency response given by Let be its time domain representation. Then (round off to the nearest integer).
Correct answer
200 to 200
Solution
The impulse response is the inverse Fourier transform of the frequency response . The relationship is given by:We are asked to find the value of at . Substituting into the equation:Given the frequency response of the ideal low pass filter:The integral becomes:Therefore, .
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