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This mock test of Test: Signal Classification for Electrical Engineering (EE) helps you for every Electrical Engineering (EE) entrance exam.
This contains 10 Multiple Choice Questions for Electrical Engineering (EE) Test: Signal Classification (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Which of the following is done to convert a continuous time signal into discrete time signal?

Solution:

Explanation: A discrete time signal can be obtained from a continuous time signal by replacing t by nT, where T is the reciprocal of the sampling rate or time interval between the adjacent values. This procedure is known as sampling.

QUESTION: 2

The deflection voltage of an oscilloscope is a ‘deterministic’ signal. True or False?

Solution:

Explanation: The behavior of the signal is known and can be represented by a saw tooth wave form. So, the signal is deterministic.

QUESTION: 3

The even part of a signal x(t) is:

Solution:

Explanation: Let x(t)=x_{e}(t)+x_{o}(t)

=>x(-t)=x_{e}(-t)-x_{o}(-t)

By adding the above two equations, we get

x_{e}(t)=(1/2)*(x(t)+x(-t)).

QUESTION: 4

Which of the following is the odd component of the signal x(t)=e(jt)?

Solution:

Explanation: Let x(t)=e^{(jt)}

Now, x_{o}(t)=(1/2)*(x(t)-x(-t))

=(1/2)*(e^{(jt)} – e^{(-jt)})

=(1/2)*(cost+jsint-cost+jsint)

=(1/2)*(2jsint)

=j*sint.

QUESTION: 5

For a continuous time signal x(t) to be periodic with a period T, then x(t+mT) should be equal to:

Solution:

Explanation: If a signal x(t) is said to be periodic with period T, then x(t+mT)=x(t) for all t and any integer m.

QUESTION: 6

Let x_{1}(t) and x_{2}(t) be periodic signals with fundamental periods T1 and T2 respectively. Which of the following must be a rational number for x(t)=x_{1}(t)+x_{2}(t) to be periodic?

Solution:

Explanation: Let T be the period of the signal x(t)

=>x(t+T)=x_{1}(t+mT_{1})+x_{2}(t+nT_{2})

Thus, we must have

mT_{1}=nT_{2}=T

=>(T_{1}/T_{2})=(k/m)= a rational number.

QUESTION: 7

Let x_{1}(t) and x_{2}(t) be periodic signals with fundamental periods T_{1} and T_{2} respectively. Then the fundamental period of x(t)=x_{1}(t)+x_{2}(t) is:

Solution:

Explanation: For the sum of x_{1}(t) and x_{2}(t) to be periodic the ratio of their periods should be a rational number, then the fundamental period is the LCM of T_{1} and T_{2}.

QUESTION: 8

All energy signals will have an average power of:

Solution:

Explanation: For any energy signal, the average power should be equal to 0 i.e., P=0.

QUESTION: 9

x(t) or x(n) is defined to be an energy signal, if and only if the total energy content of the signal is a:

Solution:

Explanation: The energy signal should have total energy value that lies between 0 and infinity.

QUESTION: 10

What is the period of cos2t+sin3t?

Solution:

Explanation: Period of cos2t=(2*pi)/2=pi

Period of sin3t=(2*pi)/3

LCM of pi and (2*pi)/3 is 2*pi.

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