The Fourier transform of a peristimulus time histogram can lead to erroneous results.
Using the Fourier transform on a peristimulus time histogram (PSTH) to calculate spectral components of a spike train can yield erroneous spectral amplitudes. This happens because the PSTH is a function defined at discrete points in a way that conflicts with the sampling theorem.
Schild
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Schultens
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D000200:Action Potentials; D004594:Electrophysiology / Q000379:methods*; D005583:Fourier Analysis; D006801:Humans; D009482:Neurophysiology / Q000266:history*