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WorksheetsSS_U1_03_Classification of Signals
Total questions: 25
Worksheet time: 25mins
Name
Class
Date
1.
A signal is a physical quantity which does not vary with
a)
Time
b)
Space
c)
Independent Variables
d)
Dependent Variables
2.
Which of the following signals is/are periodic ?
a)
S(t) = cos2t + cos3t + cos5t
b)
S(t) = exp(8πt)
c)
S(t) = e-7t sin10πt.
d)
S(t) = cos2t.cost.u(t)
3.
The signal x(t) = 2cos(πt) + 3 sin(2t)
a)
Periodic
b)
Not periodic
c)
may or may not be periodic
d)
None
4.
The period of the function cos π/4(t-1) is
a)
1/8 sec
b)
8 sec
c)
4 sec
d)
1/4 sec
5.
Determine the fundamental period of the following signal: sin60t
a)
1/60 sec
b)
1/30 sec
c)
1/20 sec
d)
1/10 sec
6.
Determine the Time period of: x(t)=3 cos(20t+5)+sin(8t-3)
a)
1/10 sec
b)
1/20 sec
c)
2/5 sec
d)
2/4 sec
7.
The odd and even components of sequence x(n) = {1,1,0.5}
a)
{0.25,0,-0.25}, (0.75,1,0.75}
b)
{1.5,0,-1.5}, {1.5,1,1.5}
c)
{0.25,0,-0.25}, {0.5,1,0.5}
d)
{0.25,0,-25}, {1.5,1,1.5}
8.
What is the even component of a discrete-time signal?
a)
Xe(t) = ½[ x(t) + x(-t)]
b)
Xe(t) = ½[ x(n) + x(-n)]
c)
Xe(t) = ½[ x(t) - x(-t)]
d)
Xe(t) = ½[ x(n) - x(-n)]
9.
Determine the power of the signal: x(t) = cos(t)
a)
1/2
b)
1
c)
3/2
d)
2
10.
Is the following signal an energy signal? x(t) = u(t) – u(t – 1)<br /><br />
a)
E = 1, P = 0
b)
E = 0, P = 0
c)
E = 1, P = 1
d)
E = ∞ , P = ∞
11.
The step function u (t) is integral of _______ with respect to time t
a)
Ramp function
b)
Impulse function
c)
Sinusoidal function
d)
Exponential function
12.
A complex exponential signal is a decaying exponential signal when
a)
Ω = 0 and σ > 0
b)
Ω = 0 and σ = 0
c)
Ω ≠ 0 and σ < 0
d)
Ω = 0 and σ < 0
13.
Unit Impulse function is obtained by using the limiting process on which among the following functions
a)
Triangular Function
b)
Rectangular Function
c)
Signum Function
d)
Sinc Function
14.
An exponentially growing sinusoidal signal is
a)
σ = 0 and Ω = 0
b)
σ > 0 and Ω ≠ 0
c)
σ < 0 and Ω ≠ 0
d)
1) σ = 0 and Ω ≠ 0
15.
Which one of the following is not a unit step function ?
a)
u(t) = 1 for t>0
b)
u(t) = 0 for t > 0
c)
u(t) = d/dt r(t) for t>0
d)
u(t) =d/dt p(t) for t>0
16.
Determine the nature of the signal: x(t) = e-0.2t [cosΩt + jsinΩt]
a)
Exponentially decaying sinusoidal signal
b)
Exponentially growing sinusoidal signal
c)
Sinusoidal signal
d)
Exponential signal
17.
Which one of the following is not a ramp function ?
a)
r(t) = t when t ≥ 0
b)
r(t) = 0 when t < 0
c)
r(t) = ∫u(t)dt when t < 0
d)
r(t) = d/dt u(t)
18.
The signal x(t) = e-2t. u(t) is
a)
Power signal
b)
Energy signal
c)
Neither power nor energy signal
d)
Either power or energy signal
19.
Y (t) = x (2t) is ________
a)
Compressed signal
b)
Expanded signal
c)
Shifted signal
d)
Amplitude scaled signal by a factor of 2
20.
Y (t) = x (t/5) is _______
a)
Compressed signal
b)
Expanded signal
c)
Time shifted signal
d)
Amplitude scaled signal by factor 1/5.
21.
A signal is anti-causal if ______________
a)
x(t) = 0 for t = 0
b)
x(t) = 1 for t < 0
c)
x(t) = 1 for t > 0
d)
x(t) = 0 for t > 0
22.
The time period of continuous-time sinusoidal signal is given by _____
a)
T = 2π / ω
b)
T = 2π / 3ω
c)
T = π / ω
d)
T = π / 2 ω
23.
X [n] = 2cos (2n) is periodic or not?
a)
Periodic with period 2n
b)
Periodic with period 2π
c)
Periodic with period 2
d)
Non periodic
24.
Check whether x [n] = 7 sin (6πn) is periodic and if it is period calculate its fundamental period?
a)
Periodic with fundamental period 6π
b)
Periodic with fundamental period 3
c)
Periodic with fundamental period 1
d)
Non periodic
25.
The signal x(n) = cos(2πn/3) u(n) is
a)
Causal, aperiodic
b)
Causal, periodic
c)
Non – causal periodic
d)
Non – causal aperiodic
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