1
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.
2
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 ____
3
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

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

Two discrete-time linear time-invariant systems with impulse responses $h_1\lfloor n\rfloor=\delta\lfloor n-1\rfloor+\delta\lfloor n+1\rfloor$ and $h_2[n]=\delta[n]+\delta[n-1]$ are connected in cascade. Where $\delta[n]$ in the Kronecker delta. The impulse response of the cascade system

A

$\delta[n-2]+\delta[n+1]$

B

$\delta[n-1] \delta[n]+\delta[n+1] \delta[n-1]$

C

$\delta[n-2]+\delta[n-1]+\delta[n]+\delta[n+1]$

D

$\delta[n] \delta[n-1]+\delta[n-2] \delta[n+1]$

GATE EE Subjects

Browse all chapters by subject