1
GATE EE 2024
MCQ (Single Correct Answer)
+1
-0.33

Suppose signal $y(t)$ is obtained by the time-reversal of signal $x(t)$, i.e., $y(t) = x(-t)$, $-\infty < t < \infty$. Which one of the following options is always true for the convolution of $x(t)$ and $y(t)$?

A

It is an even signal.

B

It is an odd signal.

C

It is a causal signal.

D

It is an anti-causal signal.

2
GATE EE 2023
MCQ (Single Correct Answer)
+1
-0.33

Which of the following statement(s) is/are true?

A
If an LTI system is causal, it is stable
B
A discrete time LTI system is causal if and only if its response to a step input u[n] is 0 for n < 0
C
If a discrete time LTI system has an impulse response h[n] of finite duration the system is stable
D
If the impulse response $$0 < |h[n]| < 1$$ for all n, then the LTI system is stable.
3
GATE EE 2023
Numerical
+1
-0

For the signals $$x(t)$$ and $$y(t)$$ shown in the figure, $$z(t)=x(t)*y(t)$$ is maximum at $$t=T_1$$. Then $$T_1$$ in seconds is __________ (Round off to the nearest integer)

GATE EE 2023 Signals and Systems - Linear Time Invariant Systems Question 9 English 1 GATE EE 2023 Signals and Systems - Linear Time Invariant Systems Question 9 English 2

Your input ____
4
GATE EE 2021
MCQ (Single Correct Answer)
+1
-0.33

If the input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\max [0, x(t)]$, then the system is

A

Linear and time-variant

B

Linear and time-invariant

C

Non-linear and time-variant

D

Non-linear and time-invariant

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