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Related Experiment Videos

Effect of normalization and phase angle calculations on continuous relative phase.

Max J Kurz1, Nicholas Stergiou

  • 1Nonlinear Dynamics Laboratory, University of Colorado, Denver, CO, USA. mkurz@mail.unomaha.edu

Journal of Biomechanics
|February 23, 2002
PubMed
Summary

Phase plot normalization and phase angle definitions significantly alter continuous relative phase (CRP) calculations. Normalization is unnecessary as the arc tangent function inherently handles amplitude differences, preserving kinematic coordination analysis.

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Area of Science:

  • Biomechanics
  • Kinesiology
  • Movement Analysis

Background:

  • Continuous Relative Phase (CRP) is a key metric for quantifying joint coordination.
  • The calculation of CRP can be influenced by data processing techniques, including normalization and phase angle definitions.
  • Understanding these influences is crucial for accurate interpretation of movement coordination.

Purpose of the Study:

  • To investigate the impact of phase plot normalization techniques on CRP calculations.
  • To determine the effect of different phase angle definitions on CRP results.
  • To assess whether normalization is a necessary step in CRP analysis for kinematic data.

Main Methods:

  • Sagittal plane kinematic data were collected from a subject running on a treadmill at 180 Hz.

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  • Segmental angular displacements and velocities were used to construct phase plots.
  • CRP was calculated using two amplitude normalization methods and two phase angle definitions, with differences quantified by Root Mean Square (RMS).
  • Main Results:

    • Normalization techniques altered the configuration of CRP curves, as indicated by RMS values.
    • Normalization resulted in a loss of the phase plot's aspect ratio, potentially neglecting nonlinear forces.
    • Significant differences in CRP curves were observed when phase angles were normalized or calculated relative to the horizontal axis.

    Conclusions:

    • Phase plot normalization is not necessary for CRP calculations, as the arc tangent function inherently accounts for amplitude variations.
    • Normalization can modify kinematic coordination patterns, leading to potentially inaccurate interpretations.
    • The choice of phase angle definition significantly impacts CRP outcomes, necessitating careful consideration in movement analysis.