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Q#1
LTI Systems
GATE EC 2025
MCQ
+1 mark
-0.33 marks
Consider the discrete-time system below with input
and output
. In the figure,
and
denote the impulse responses of LTI Subsystems 1 and 2, respectively. Also,
is the unit impulse, and
.
Assuming
, the overall system (denoted by the dashed box) is
_________.

linear and time invariant
linear and time variant
nonlinear and time invariant
nonlinear and time variant
Explanation:
We see that:
o/p has a constant term in addition, system fails Superposition (additivity), & hence is non linear
{Reason:
is linear and
is non-linear}
- Delay
by 


Thus, system is time variant
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