WorksheetsEC 8352 SIGNALS AND SYSTEMS
Total questions: 50
Worksheet time: 50mins
In an analog signal , both the magnitude of the signal and the independent variable are continuous
True
False
The sinusoidal and complex exponential signals are always periodic
True
False
When the energy of a signal is finite then the power will be finite
True
False
When the power of a signal is finite then the energy will be zero
True
False
Which of the following is not an example of signal
Blood Pressure
temperatre
aircraft
speech
The signal which is defined only at origin i.e only at t=0 is
unit step signal
impulse signal
exponential signal
ramp signal
- All continuous time sine,cosine and exponential signals are always periodic
- All Discrete time sine,cosine and exponential signals are always periodic
Both statements are correct
Both statements are wrong
statement 1 is correct, statement 2 is wrong
statement 1 is wrong, statement 1 is correct
The signal defined by x(t)= x(-t) is
Periodic
aperiodic
even
odd
A signal defined by x(t+T) = x(t) is said to be
Even signal
Power signal
Periodic signal
aperoidic signal
A signal is said to be power signal if its power is
zero
one
finite
infinite
A signal is said to be energy energy if its energy is
zero
one
finite
infinite
Which mathematical notation specifies the condition of periodicity for a continuous time signal?
x(t) = x(t +T0)
x(n) = x(n+ N)
x(t) = e-αt
None of the above
Determine the odd component of the signal: x(t)=cost+sint.
sint
2sint
cost
2cost
For an energy signal __________
E=0
P= ∞
E= ∞
P=0
Determine the power of the signal: x(t) = cos(t).
1/2
1
3/2
2
Discrete time signal is derived from continuous time signal by _____________ process.
Addition
Multiplying
Sampling
Addition and multiplication
If x (-t) = -x (t) then the signal is said to be _____________
Even signal
Odd signal
Periodic signal
Non periodic signal
When x(t ) is said to be non periodic signal?
If the equation x (t) = x (t + T) is satisfied for all values of T
If the equation x (t) = x (t + T) is satisfied for only one value of T
If the equation x (t) = x (t + T) is satisfied for no values of T
If the equation x (t) = x (t + T) is satisfied for only odd values of T
Energy signal has zero average power and power signal has zero energy.
True
False
Unit Step function is defined by
u(n) = 1, n ≥ 0
= 0, n < 0
u(n) = 1, n = 0
= 0, n ≠ 1
u(n) = 1, n ≤ 0
= 0, n ≠ 1
u(n) = 1, n ≤ 0
= 0, n ≥ 1
Which one of the following systems is causal?
y(t) = x(t) + x(t-3) + x(t2)
y[n] = x[n+2]
y(t)=x(t-1)+x(t-2)
y[n] = x[2n2]
Which among the following is a Time Invariant system?
dy(t)/dt + ty(t) = x(t)
y(t) = x(t) cosπt
y[n] = x[n] + n x[n-1]
y[n] = x3 [n+1]
This signal is a continuous signal
Analog
Digital
The image provided is a _________ signal.
Analog
Digital
The image provided is a _________ signal.
Analog
Digital
Identify the image of an ANALOG signal with NOISE
Identify the image of an DIGITAL signal with NOISE
find even and odd parts of x(n)={4,-2,4,-6,0}
{2,4,4,4,2},{2,2,0,2,2,}
{2,-4,4,-4,2},{2,2,0,2,2,}
{2,-4,4,-4,2},{2,2,0,-2,-2,}
{2,4,4,4,2},{2,2,0,-2,2,}
check the following system for causality
1.y[n] = x[n] + 2x[n - 1] & 2. y[n] = x[n - k]
Both 1 &2
only 1
only 2
neither 1 nor 2
verify linearity of the system y(t)=x(t)x(t-2)
linear
non linear
can't be determined
Test the Time in-variance(TIV) of y(t)=x(n+2)-x(7-n)
TIV system
TV system
can't be determined
Test the system y(n+1)+n*y(n)=4*x(n)
non linear,TV,Memory less
Linear, TIV, Static
linear,TIV, Memoryless
non linear,TV,Static
Check whether the following system is Causal or not? y(t)=x(t) sint5t
causal
non causal
can't ne determined
Check whether the given system is static or dynamic? y(t)=3 x(t)+5
Static
Dynamic
can't be determined
Which among the following are the stable discrete time systems?
1.y(n) = x(4n)
2. y(n) = x(-n)
3. y(n) = ax(n) + 8
4. y(n) = cos x(n)
1 & 3
2 & 4
1, 3 & 4
1, 2, 3 & 4
Which of the following systems is linear?
y(t) = sin(x(t))
y(t) = log(x(t))
y(t) = cos(x(t))
y(t) = dx(t)/dt
The fundamental period of the signal X (t) = 10cos2(10πt) is __________
0.2
0.1
0.5
No fundamental period exists
Which of the following statements are false?
the product of two odd signal is an odd signal
the product of two even signals is an even signal
the product of even and odd signal is even signal
the product of even and odd is signal is an odd signal
The differentiation of a unit step signal is
Ramp Signal
impulse signal
exponential signal
parabolic signal
The integral of a unit impulse signal is
infinity
zeros
one
constant
The system y(n)=sinx(n) is
Stable
Unstable
BIBO stable
None of the above
The discrete time system y(n)=x(n-3)-4x(n-10) is a,
Dynamic system
Memoryless System
Time varying system
None of the above
Shifting a signal to left is called delay and shifting to right is called advance
True
False
