Journal of Biomechanics
Volume 38, Issue 5 , Pages 1085-1092 , May 2005

Application of singular spectrum analysis to the smoothing of raw kinematic signals

  • F.J. Alonso

      Affiliations

    • Department of Electronics and Electromechanical Engineering, University of Extremadura, Avda. de Elvas s/n, 06071, Badajoz, Spain
    • Corresponding Author InformationCorresponding author. Tel.: +34-924289600; fax: +34-924289601
  • ,
  • J.M.Del Castillo

      Affiliations

    • Department of Electronics and Electromechanical Engineering, University of Extremadura, Avda. de Elvas s/n, 06071, Badajoz, Spain
  • ,
  • P. Pintado

      Affiliations

    • Department of Applied Mechanics, University of Castilla La Mancha, Avda. Camilo José Cela s/n, 13071, Ciudad Real, Spain

,Accepted 24 May 2004.

References 

  1. Adham RI, Shihab SA. Discrete wavelet transform (a tool in smoothing kinematic data). Journal of Biomechanics. 1999;32:317–321
  2. Burden RL, Faires JD, Reynolds AC. Numerical Analysis. Boston: PWS Publishers; 1981;
  3. D’Amico M, Ferrigno G. Technique for the evaluation of derivatives from noisy biomechanical displacement data using a model-based bandwith selection procedure. Medical and Biological Engineering and Computing. 1990;28:407–415
  4. D’Amico M, Ferrigno G. Comparison between the more recent techniques for smoothing and derivative assessment in biomechanics. Medical and Biological Engineering and Computing. 1992;30:193–204
  5. Dowling J. A modelling strategy for the smoothing of biomechanical data. In:  Johnsson B editors. Biomechanics. Vol. XB:Champaign, IL: Human Kinetics; 1985;p. 1163–1167
  6. Georgiakis A, Stergioulas LK, Giakas G. Wigner filtering with smooth roll-off boundary for differentiation of noisy non-stationary signals. Signal Processing. 2002;82:1411–1415
  7. Giakas G, Baltzopoulos V. A comparison of automatic filtering techniques applied to biomechanical walking data. Journal of Biomechanics. 1997;30:847–850
  8. Giakas G, Baltzopoulos V. Optimal digital filtering requires a different cut-off frequency strategy for the determination of the higher derivatives. Journal of Biomechanics. 1997;30:851–855
  9. Giakas G, Baltzopoulos V. Improved extrapolation techniques in recursive digital filtering (a comparison of least squares and prediction). Journal of Biomechanics. 1998;31:87–91
  10. Giakas G, Stergioulas LK, Vourdas A. Time-frequency analysis and filtering of kinematic signals with impacts using the Wigner function (accurate estimation of the second derivative). Journal of Biomechanics. 2000;33:567–574
  11. Golyandina, N., Nekrutkin, V., Zhigljavsky, A., 2001. Analysis of Time Series Structure—SSA and Related Techniques. Chapman & Hall/CRC, Boca Raton, FL, pp. 13-78.
  12. Hatze H. The fundamental problem of myoskeletal inverse dynamics and its implications. Journal of Biomechanics. 2002;35:109–115
  13. Pasmanter RA. Variational search of periodic motions in complex dynamical systems. Chaos, Solitons and Fractals. 1995;6:447–454
  14. van den Bogert, A.J., de Koning, J.J., 1996. On optimal filtering for inverse dynamics analysis. Proceedings of the Nineth Canadian Society of Biomechanics Congress, Burnaby, BC, pp. 214–215.
  15. Vaughan CL. Smoothing and differentiation of displacement-time data (an application of splines and digital filtering). International Journal of Bio-Medical Computing. 1982;13:375–386
  16. Vaughan C, Davis B, O’Connor J. Gait Analysis Laboratory. Champaign, IL: Human Kinetics; 1992;
  17. Vautard R, Ghil M. Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series. Physica D: Nonlinear Phenomena. 1989;35:395–424
  18. Vautard R, Yiou P, Ghil M. Singular-spectrum analysis (a toolkit for short, noisy chaotic signals). Physica D: Nonlinear Phenomena. 1992;58:95–126
  19. Walker JA. Estimating velocities and accelerations of animal locomotion (a simulation experiment comparing numerical differentiation algorithms). Journal of Experimental Biology. 1998;201:981–995
  20. Woltring HJ. Smoothing and differentiation techniques applied to 3-D data. In:  Allard P,  Stokes IAF,  Blanchi JP editor. Three Dimensional Analysis of Human Movement. Human Kinetics. IL: Champaign; 1995;p. 79–99

PII: S0021-9290(04)00270-2

doi: 10.1016/j.jbiomech.2004.05.031

Journal of Biomechanics
Volume 38, Issue 5 , Pages 1085-1092 , May 2005