GATE EE 2024 Set 1 — Question 15
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Signals & Systems → LTI Systems → Convolution Integral & Sum
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Question
Suppose signal is obtained by the time-reversal of signal , i.e., . Which one of the following options is always true for the convolution of and ?
Correct answer
(A) It is an even signal.
Solution
Let .
By definition of convolution:To check if is even, find :Let :Since , the signal is even.
By definition of convolution:To check if is even, find :Let :Since , the signal is even.
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