Signal And Systems Set 1

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Rejimano
R
Rejimano
Community Contributor
Quizzes Created: 2 | Total Attempts: 260
Questions: 10 | Attempts: 162

SettingsSettingsSettings
Signal And Systems Set 1 - Quiz


Signal and Systems Set 1
This Quiz contains 10 Questions


Questions and Answers
  • 1. 

    The system described by the equation y(n)=ay(n-1)+b x(n) is a recursive system.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    Explanation: Since the present output depends on the value of the previous output, the system is called as Recursive system.

    Rate this question:

  • 2. 

    Which of the following electromagnetic signals has a frequency range of 30kHz-3MHz?

    • A.

      Radio broadcast

    • B.

      Shortwave radio signal

    • C.

      RADAR

    • D.

      Infrared signal

    Correct Answer
    A. Radio broadcast
    Explanation
    Explanation: Radio broadcast signal is an electromagnetic signal which has a frequency range of 30kHz-3MHz.

    Rate this question:

  • 3. 

    What is the frequency range(in Hz) of Electroencephalogram(EEG)?

    • A.

      10-40

    • B.

      1000-2000

    • C.

      0-100

    • D.

      None of the mentioned

    Correct Answer
    C. 0-100
    Explanation
    Explanation: Electroencephalogram(EEG) signal has a frequency range of 0-100 Hz.

    Rate this question:

  • 4. 

    The output signal when a signal x(n)=(0,1,2,3) is processed through an ‘Identical’ system is:

    • A.

      (3,2,1,0)

    • B.

      (1,2,3,0)

    • C.

      (0,1,2,3)

    • D.

      None of the mentioned

    Correct Answer
    C. (0,1,2,3)
    Explanation
    An identical system is a system whose output is same as the input, that is it does not perform any operation on the input and transmits it.

    Rate this question:

  • 5. 

    If a signal x(n) is passed through a system to get an output signal of y(n)=x(n+1), then the signal is said to be:

    • A.

      Delayed

    • B.

      Advanced

    • C.

      No operation

    • D.

      None of the mentioned

    Correct Answer
    D. None of the mentioned
    Explanation
    Explanation: For example, the value of the output at the time n=0 is y(0)=x(1), that is the system is advanced by one unit.

    Rate this question:

  • 6. 

    The term ‘bandwidth’ represents the quantitative measure of a signal.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    Explanation: In addition to the relatively broad frequency domain classification of signals, it is often desirable to express quantitatively the range of frequencies over which the power or energy density spectrum is concentrated. This quantitative measure is called the ‘bandwidth’ of a signal.

    Rate this question:

  • 7. 

    In general, a digital system designer has better control of tolerances in a digital signal processing system than an analog system designer who is designing an equivalent analog system.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    Analog signal processing operations cannot be done very precisely either, since electronic components in analog systems have tolerances and they introduce noise during their operation. In general, a digital system designer has better control of tolerances in a digital signal processing system than an analog system designer who is designing an equivalent analog system.

    Rate this question:

  • 8. 

    If x(n) is a stable sequence so that X(z) converges on to a unit circle, then the complex cepstrum signal is defined as:

    • A.

      X(ln X(z))

    • B.

      Ln X(z)

    • C.

      X-1(ln X(z))

    • D.

      None of the mentioned

    Correct Answer
    C. X-1(ln X(z))
    Explanation
    Let us consider a sequence x(n) having a z-transform X(z). We assume that x(n) is a stable sequence so that X(z) converges on to the unit circle. The complex cepstrum of the signal x(n) is defined as the sequence cx(n), which is the inverse z-transform of Cx(z), where Cx(z)=ln X(z)
    => cx(z)= X-1(ln X(z))

    Rate this question:

  • 9. 

    Which of the following condition is to be satisfied for the Fourier transform of a sequence to be equal as the Z-transform of the same sequence?

    • A.

      |z|=1

    • B.

      |z|

    • C.

      |z|>1

    • D.

      Can never be equal

    Correct Answer
    A. |z|=1
    Explanation
    Let us consider the signal to be x(n)

    Rate this question:

  • 10. 

    What is the impulse response of the system described by the second order difference equation y(n)-3y(n-1)-4y(n-2)=x(n)+2x(n-1)?

    • A.

      [-1/5 (-1)n-6/5 (4)n]u(n)

    • B.

      [1/5 (-1)n – 6/5 (4)n]u(n)

    • C.

      [ 1/5 (-1)n+ 6/5 (4)n]u(n)

    • D.

      [- 1/5 (-1)n+ 6/5 (4)n]u(n)

    Correct Answer
    D. [- 1/5 (-1)n+ 6/5 (4)n]u(n)
    Explanation
    The homogenous solution of the given equation is yh(n)=C1(-1)n+C2(4)n—-(1)
    To find the impulse response, x(n)=δ(n)
    now, for n=0 and n=1 we get
    y(0)=1 and
    y(1)=3+2=5
    From equation (1) we get
    y(0)=C1+C2 and
    y(1)=-C1+4C2
    On solving the above two set of equations we get
    C1=- 1/5 and C2= 6/5
    =>h(n)= [-1/5 (-1)n + 6/5 (4)n]u(n).

    Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Dec 26, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Mar 09, 2018
    Quiz Created by
    Rejimano
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.