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Q#1
Fourier Transform
GATE EC 2023
MCQ
+2 marks
-0.66 marks
Let
be passed through an LTI system having impulse response
. The output of the system is




Explanation:
Given
is Real and Even. When sinusoidal input applied to LTI system having even impulse response, then output will also be sinusoidal.

here, 
let, 
(using Fourier transform property)

where, 

Now; 




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