Table 1.

Model velocity formulae and their analytical Fourier energy spectra

ModelVelocityFourier energy spectrum
Yarbus (1967) Embedded Image Embedded Image
Minimum acceleration Embedded Image Embedded Image
Minimum jerk Embedded Image Embedded Image
Minimum snap Embedded Image Embedded Image
Rectangular pulse Embedded Image Embedded Image
  • Equations of velocity trajectories and their Fourier energy spectra for Yarbus, MSD, and rectangular pulse models. Trajectories are normalized for unit amplitude and unit duration with time origin at peak velocity.