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 6 English 1 GATE EE 2023 Signals and Systems - Linear Time Invariant Systems Question 6 English 2

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4
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider a continuous-time system with input x(t) and output y(t) given by $$y\left(t\right)=x\left(t\right)\cos\left(t\right)$$. This system is
A
linear and time-invariant
B
Non-linear and time-invariant
C
linear and time-varying
D
Non-linear and time-varying
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