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Quiz 1 - Signal Processing

Quiz by Thang Nguyen

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10 questions
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  • Q1

    What is the frequency of the signal x(t) = 50 sin(300πt) (in Hz)?

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    15s
  • Q2

    Find the average power of the signal x(t) = 12 sin(100πt) in W.

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    15s
  • Q3

    What is the inner product of two vectors x = [2, 4]T and y = [−1, 2]T ?

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    15s
  • Q4

    What is the time constant of the signal x = 4exp(−0.2t)?

    5

    2

    4

    3

    15s
  • Q5

    Autocorrelation is used to measure the similarity between two different signals.

    false
    true
    True or False
    15s
  • Q6

    Cross-correlation is commonly used in radar and sonar systems to detect the time delay between transmitted and received signals

    true
    false
    True or False
    15s
  • Q7

    Which of the following statements about autocorrelation and cross-correlation is correct?

    Both functions measure the similarity of a signal with itself

    Autocorrelation can be considered a special case of cross-correlation

    Autocorrelation can be considered a special case of cross-correlation

    Cross-correlation is only used for deterministic signals

    15s
  • Q8

    What does the magnitude of the frequency response at a given frequency tell you about the system?

    The system’s time delay at that frequency

    The system’s power at that frequency

    The system’s output amplitude relative to the input at that frequency

    The system’s energy consumption at that frequency

    15s
  • Q9

    A transfer function represents the relationship between the output and input of a linear time-invariant (LTI) system in the frequency domain.

    true
    false
    True or False
    15s
  • Q10

    Which of the following represents the transfer function of a system?

    The ratio of the system’s input to its output

    The Fourier transform of the input signal

    The derivative of the system’s input with respect to time

    The Laplace transform of the system’s output divided by the Laplace transform of the input 

    15s

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