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Signals and Systems
- Online Test
Signals and Systems
TEST : 2
# Signals and Systems
# EE GATE 2013
Prepare / Learn
Q1.
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is
A.
5
B.
12
C.
15
D.
20
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
# Signals and Systems
# EE GATE 2013
Prepare / Learn
Q2.
For a periodic signal
the fundamental frequency in radians/s is
A.
100
B.
300
C.
500
D.
1500
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
# Signals and Systems
# EE GATE 2013
Prepare / Learn
Q3.
A continuous random variable X has a probability density function
is
A.
0.368
B.
0.5
C.
0.632
D.
1.0
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
# Signals and Systems
# EE GATE 2013
Prepare / Learn
Q4.
Two systems with impulse responses
h
1
(t) and
h
2
(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
No Explaination.
# Signals and Systems
# EE GATE 2013
Prepare / Learn
Q5.
The impulse response of a system is h(t) = tu(t). For an input u(t − 1), the output is
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
No Explaination.
# Signals and Systems
# EE GATE 2013
Prepare / Learn
Q6.
The impulse response of a continuous time system is given by h(t) = δ(t - 1) + δ(t - 3). The value of the step response at t = 2 is
A.
0
B.
1
C.
2
D.
3
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
# Signals and Systems
# EE GATE 2013
Prepare / Learn
Q7.
The state variable formulation of a system is given as
The response y(t) to the unit step input is
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
# Signals and Systems
# EE GATE 2013
Prepare / Learn
Q8.
The state variable formulation of a system is given as
The system is
A.
controllable but not observable
B.
not controllable but observable
C.
both controllable and observable
D.
both not controllable and not observable
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
# Signals and Systems
# EE GATE 2014 Paper 02
Prepare / Learn
Q9.
Consider an LTI system with impulse response
If the output of the system is
then the input, x(t), is given by
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Signals and Systems
# EE GATE 2014 Paper 02
Prepare / Learn
Q10.
A discrete system is represented by the difference equation
It has initial condition
X
1
(0) = 1;
X
2
(0) = 0. The pole location of the system for a = 1, are
A.
1 ± j0
B.
−1 ± j0
C.
±1 + j0
D.
0 ± j1
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
from the given difference equation,
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