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Q#1
LTI Systems
GATE EE 2023
NAT
+1 mark
-0 marks
For the signals 
shown in the figure, 
is maximum at 
. Then 
in seconds is __________ (Round off to the nearest integer).
Explanation:
For maximum value of convolution we must have maximum area under product of x(t - τ) & y(τ).
∴ (t – 1) must coincide with t = 3 so that entire positive area under y(t) coincide with x(t - τ)
∴ t – 1 = 3
t = 4
∴ z(t) = max occurs at t = 4
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