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Test: Discrete Time Signals


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10 Questions MCQ Test Digital Signal Processing | Test: Discrete Time Signals

Test: Discrete Time Signals for Electrical Engineering (EE) 2022 is part of Digital Signal Processing preparation. The Test: Discrete Time Signals questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Discrete Time Signals MCQs are made for Electrical Engineering (EE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Discrete Time Signals below.
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Test: Discrete Time Signals - Question 1

 If x(n) is a discrete-time signal, then the value of x(n) at non integer value of ‘n’ is:

Detailed Solution for Test: Discrete Time Signals - Question 1

Explanation: For a discrete time signal, the value of x(n) exists only at integral values of n. So, for a non- integer value of ‘n’ the value of x(n) does not exist.

Test: Discrete Time Signals - Question 2

 The discrete time function defined as u(n)=n for n≥0;=0 for n<0 is an:

Detailed Solution for Test: Discrete Time Signals - Question 2

Explanation: When we plot the graph for the given function, we get a straight line passing through origin with a unit positive slope. So, the function is called as unit ramp signal.

Test: Discrete Time Signals - Question 3

The phase function of a discrete time signal x(n)=an, where a=r.e is: 

Detailed Solution for Test: Discrete Time Signals - Question 3

Explanation: Given x(n)=an=(r.e)n =rn.ejnθ
=>x(n)=rn.(cosnθ+jsinnθ)
Phase function is tan-1(cosnθ/sinnθ)=tan-1(tan nθ)=nθ.

Test: Discrete Time Signals - Question 4

 The signal given by the equation is known as: 

Detailed Solution for Test: Discrete Time Signals - Question 4

Explanation: We have used the magnitude-squared values of x(n), so that our definition applies to complex-valued as well as real-valued signals. If the energy of the signal is finite i.e., 0<E<∞ then the given signal is known as Energy signal.

Test: Discrete Time Signals - Question 5

 x(n)*δ(n-k)=?

Detailed Solution for Test: Discrete Time Signals - Question 5

Explanation: The given signal is defined only when n=k by the definition of delta function. So, x(n)*δ(n-k)= x(k)*δ(n-k).

Test: Discrete Time Signals - Question 6

A real valued signal x(n) is called as anti-symmetric if:

Detailed Solution for Test: Discrete Time Signals - Question 6

Explanation: According to the definition of anti-symmetric signal, the signal x(n) should be symmetric over origin. So, for the signal x(n) to be symmetric, it should satisfy the condition x(n)=-x(-n).

Test: Discrete Time Signals - Question 7

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

Detailed Solution for Test: Discrete Time Signals - Question 7

Explanation: Let x(t)=xe(t)+xo(t)
=>x(-t)=xe(-t)-xo(-t)
By subtracting the above two equations, we get
xo(t)=(1/2)*(x(t)-x(-t)).

Test: Discrete Time Signals - Question 8

Time scaling operation is also known as:

Detailed Solution for Test: Discrete Time Signals - Question 8

Explanation: If the signal x(n) was originally obtained by sampling a signal xa(t), then x(n)=xa(nT). Now, y(n)=x(2n)(say)=xa(2nT). Hence the time scaling operation is equivalent to changing the sampling rate from 1/T to 1/2T, that is to decrease the rate by a factor of 2. So, time scaling is also called as down-sampling.

Test: Discrete Time Signals - Question 9

What is the condition for a signal x(n)=Brn where r=eαT to be called as an decaying exponential signal?

Detailed Solution for Test: Discrete Time Signals - Question 9

Explanation: When the value of ‘r’ lies between 0 and 1 then the value of x(n) goes on decreasing exponentially with increase in value of ‘n’. So, the signal is called as decaying exponential signal.

Test: Discrete Time Signals - Question 10

The function given by the equation x(n)=1, for n=0;=0, for n≠0 is a:

Detailed Solution for Test: Discrete Time Signals - Question 10

Explanation: According to the definition of the impulse function, it is defined only at n=0 and is not defined elsewhere which is as per the signal given.

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