Discussion
The Fourier series represents which class of signal?
Answer: B
A Fourier series applies to periodic signals, decomposing them into a discrete set of harmonics of the fundamental. Aperiodic signals need the Fourier transform instead, which replaces the discrete harmonics with a continuous spectrum. Finite-energy decaying signals are exactly the aperiodic case the transform handles. Random signals are described by their power spectral density, obtained from the autocorrelation function, since no single deterministic spectrum exists for them.
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