Signal And Systems Set 1

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| By Rejimano
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Quizzes Created: 2 | Total Attempts: 264
| Attempts: 164
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  • 1/10 Questions

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

    • True
    • False
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About This Quiz

Explore the fundamentals of signal processing with this quiz set focusing on system behaviors, signal types, and properties such as frequency range and system output analysis.

Signal And Systems Set 1 - Quiz

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  • 2. 

    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.

    • True

    • 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.

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  • 3. 

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

    • True

    • 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.

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  • 4. 

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

    • (3,2,1,0)

    • (1,2,3,0)

    • (0,1,2,3)

    • None of the mentioned

    Correct Answer
    A. (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.

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  • 5. 

    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?

    • |z|=1

    • |z|

    • |z|>1

    • Can never be equal

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

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  • 6. 

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

    • Radio broadcast

    • Shortwave radio signal

    • RADAR

    • Infrared signal

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

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  • 7. 

    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:

    • X(ln X(z))

    • Ln X(z)

    • X-1(ln X(z))

    • None of the mentioned

    Correct Answer
    A. 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))

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  • 8. 

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

    • 10-40

    • 1000-2000

    • 0-100

    • None of the mentioned

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

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  • 9. 

    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:

    • Delayed

    • Advanced

    • No operation

    • None of the mentioned

    Correct Answer
    A. 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.

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  • 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)?

    • [-1/5 (-1)n-6/5 (4)n]u(n)

    • [1/5 (-1)n – 6/5 (4)n]u(n)

    • [ 1/5 (-1)n+ 6/5 (4)n]u(n)

    • [- 1/5 (-1)n+ 6/5 (4)n]u(n)

    Correct Answer
    A. [- 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).

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  • Current Version
  • Dec 26, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Mar 09, 2018
    Quiz Created by
    Rejimano
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