1
GATE EE 2022
MCQ (Single Correct Answer)
+2
-0.67

Let a causal LTI system be governed by the following differential equation $$y(t) + {1 \over 4}{{dy} \over {dt}} = 2x(t)$$, where x(t) and y(t) are the input and output respectively. Its impulse response is

A
$$2{e^{ - {1 \over 4}t}}u(t)$$
B
$$2{e^{ - 4t}}u(t)$$
C
$$8{e^{ - {1 \over 4}t}}u(t)$$
D
$$8{e^{ - 4t}}u(t)$$
2
GATE EE 2022
MCQ (Single Correct Answer)
+2
-0.67

Consider the system as shown below:

GATE EE 2022 Signals and Systems - Linear Time Invariant Systems Question 8 English

where y(t) = x(et). The system is

A
linear and causal.
B
linear and non-causal.
C
non-linear and causal.
D
non-linear and non-causal.
3
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
For linear time invariant systems, that are Bounded Input Bounded stable, which one of the following statement is TRUE?
A
The impulse response will be integral, but may not be absolutely integrable.
B
The unit impulse response will have finite support.
C
The unit step response will be absolutely integrable.
D
The unit step response will be bounded.
4
GATE EE 2013
MCQ (Single Correct Answer)
+2
-0.6
The impulse response of a continuous time system is given by h(t) = $$\delta$$(t − 1) + $$\delta$$(t − 3). The value of the step response at t = 2 is
A
0
B
1
C
2
D
3
GATE EE Subjects
EXAM MAP