Power Spectra and Fourier Analysis Quiz

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Questions and Answers

What does the power spectrum $S_{xx}(f)$ of a time series $x(t)$ describe?

  • The distribution of power into frequency components composing the signal (correct)
  • The phase shift of the time series
  • The amplitude of the time series over a continuous range
  • The time duration of the signal

According to Fourier analysis, how can any physical signal be decomposed?

  • Into a single frequency component
  • Into a number of discrete frequencies or a spectrum of frequencies over a continuous range (correct)
  • Into a time series representation
  • Into a random distribution of frequencies

What does the power spectral density (PSD) refer to?

  • The statistical average of a signal in terms of its frequency content
  • The amplitude of the signal at a specific time
  • The phase shift of the signal
  • The distribution of power into frequency components over all time (correct)

When is the energy spectral density computed?

<p>When the energy of the signal is concentrated around a finite time interval (D)</p> Signup and view all the answers

What is the power spectral density (PSD) commonly used for?

<p>Signals existing over all time or over a time period large enough (D)</p> Signup and view all the answers

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