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Fourier Series MCQs

Practice Fourier Series MCQs with four options, answers and explanations for focused Electronics & Telecommunication Engineering revision.

Question 2
Signals & SystemsFourier Series

Fourier-series harmonic frequencies are?

  • AInteger multiples of the fundamental
  • BAlways irrational multiples
  • CAlways lower than fundamental
  • DIndependent of fundamental
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Correct Answer: A. Integer multiples of the fundamental
Explanation: The kth harmonic is k times the fundamental frequency.
Reference: Standard signals and systems: fourier series
Question 3
Signals & SystemsFourier Series

Fourier series is primarily used to represent?

  • APeriodic signals
  • BOnly nonperiodic impulses
  • COnly random noise
  • DDC circuits only
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Correct Answer: A. Periodic signals
Explanation: Fourier series represents periodic signals using harmonically related components.
Reference: Standard signals and systems: fourier series
Question 7
Signals & SystemsFourier Series

Parseval’s relation connects average power with?

  • ASquared magnitudes of Fourier-series coefficients
  • BOnly maximum amplitude
  • COnly fundamental period
  • DDerivative at t=0
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Correct Answer: A. Squared magnitudes of Fourier-series coefficients
Explanation: Parseval expresses signal power through the squared Fourier coefficient magnitudes.
Reference: Standard signals and systems: fourier series
Question 8
Signals & SystemsFourier Series

A standard symmetric 50% duty-cycle square wave contains?

  • AOnly odd harmonics
  • BOnly even harmonics
  • CNo harmonics
  • DOnly second harmonic
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Correct Answer: A. Only odd harmonics
Explanation: Its even harmonics vanish due to symmetry.
Reference: Standard signals and systems: fourier series