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GATE 2021 IN – Question 14

Signals and Systems · Signals and linear time-invariant systems · 1 mark · Multiple choice

The input–output relationship of an LTI system is shown. For the input $x[n]$ shown below it, the peak output value is ______.

Diagram for GATE 2021 IN question 14
  1. 2
  2. 4
  3. 5
  4. 6

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Show answer and explanation

Correct answer: (C) 5

Explanation

The impulse input in the first diagram identifies h[n]={1,2,1} at n=0,1,2. The next input is δ[n]+2δ[n−1], giving y[n]=h[n]+2h[n−1]={1,4,5,2}. Its largest sample is **5, C**.