15
Aperiodic Signals 
¥The Fourier transform of an aperiodic signal can be found from integration of the time-domain waveform:
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X( f ) has continuous variation in both the amplitude spectrum and the phase spectrum.  Because each point in the amplitude spectrum of an Aperiodic signal is infinitesimally higher in frequency than the last point, the voltage at any point in the amplitude spectrum is infinitesimally small. 

The output of the Fourier transform is therefore not voltage, but the power spectral density of the waveform.  This value is the voltage of a single spectral line whose power equals the amount of power contained an a 1 Hz wide frequency band with constant spectral density.