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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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