, Volume 8, Issue 6, pp 207–214 | Cite as

Frequency analysis of human involuntary eye movement

  • J. M. Findlay


A discussion is given of considerations involved in forming a frequency spectrum of a signal such as human fixation eye movements, in which an impulsive signal (saccadic movements) and a noise-like signal (tremor movements) are present together. A method is outlined which enables the spectrum of each component to be determined. Results are presented of human eye movement frequency spectra and it is shown that the tremor movements alone are adequate to prevent the fading of vision under conditions of retinal image stabilisation.

An interpretation of the observed frequency spectra is given in terms of a model, which assumes that the dynamics of the eye muscle system are linear and that the active state input producing tremor has a flat frequency spectrum. From this it is deduced that the eye behaves as an overdamped second order system with time constants of 0.002 and 0.02 seconds. The active state input involved in production of an involuntary saccade is shown to consist of an impulse function with exponential rise and decay.


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  1. Bengi, H., Thomas, J. G.: Fixation tremor in relation to eyeball muscle mechanics. Nature (Lond.) 217, 773–774 (1968).Google Scholar
  2. Bjork, A., Kügelberg, E.: Motor unit activity in the human extraocular muscles. Electroenceph. clin. Neurophysiol. 5, 271–278 (1953).Google Scholar
  3. Boyce, P. R.: Ph.D. Thesis. University of Reading (1965).Google Scholar
  4. —: Monocular fixation in human eye movement. Proc. roy. Soc. B 167, 293–315 (1967).Google Scholar
  5. Childress, D. S., Jones, R. W.: Mechanics of horizontal movement of the human eye. J. Physiol. (Lond.) 188, 273–284(1967).Google Scholar
  6. Cornsweet, T. N.: Determination of the stimuli for involuntary drifts and saccadic eye movements. J. opt. Soc. Amer. 46, 987–993 (1956).Google Scholar
  7. Ditchburn, R. W.: Eye movements in relation to retinal action. Optica Acta 1, 171–176 (1955).Google Scholar
  8. — Fender, D. H., Mayne, S.: Vision with controlled movements of the retinal image. J. Physiol. (Lond.) 145, 98–107 (1959).Google Scholar
  9. — Ginsborg, B. L.: Involuntary eye movements during fixation. J. Physiol. (Lond.) 119, 1–17 (1953).Google Scholar
  10. Fender, D.H.: Ph.D. Thesis. University of Reading (1957).Google Scholar
  11. Findlay, J. M.: Ph.D. Thesis. University of Cambridge (1967).Google Scholar
  12. Lee, Y. W.: Statistical communication theory. Chichester: John Wiley & Sons 1960.Google Scholar
  13. Milsum, J. H.: Biological control systems analysis. New York: McGraw Hill 1966.Google Scholar
  14. Rice, S. O.: Mathematical analysis of random noise, N. Wax (ed.). Selected papers on Noise and Stochastic Processes. Dover 1954.Google Scholar
  15. Riggs, L. A., Shick, A. M. L.: Accuracy of retinal image stabilisation achieved with a plain mirror on a tightly fitting contact lens. Vision Res. 8, 159–169 (1968).Google Scholar
  16. Robinson, D. A.: The mechanics of human saccadic eye movements. J. Physiol. (Lond.) 174, 245–264 (1964).Google Scholar
  17. Thomas, J. G.: The dynamics of small saccadic eye movements. J. Physiol. (Lond.) 200, 109–127 (1969).Google Scholar
  18. Westheimer, G.: Mechanism of saccadic eye movements. Arch. Ophthal. 52, 710–724 (1954).Google Scholar
  19. Verveen, A. A.: An introduction to the use of time series analysis in physiology. Proc. International School of Physics “Enrico Fermi” Course XLIII. Processing of Optical Data by Organisms and Machines (ed. W. Reichardt). New York: Academic Press 1969.Google Scholar
  20. Yarbus, A. L.: Eye movements and vision. (English translation ed. L. A. Riggs.) New York: Plenum Press 1967.Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • J. M. Findlay
    • 1
  1. 1.J. J. Thomson Physical LaboratoryReading

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