2013
DOI: 10.1016/j.jbiomech.2012.12.008
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Harmonic ratios: A quantification of step to step symmetry

Abstract: The harmonic ratio (HR), derived from Fourier analysis of trunk accelerations, has been described in various ways as a measure of walking smoothness, walking rhythmicity, or dynamic stability. There is increasing interest in applying the HR technique to investigate the impact of various pathologies on locomotion; however, explanation of the method has been limited. The aim hereis to present a clear description of the mathematical basis of HRs and an understanding of their interpretation. We present harmonic th… Show more

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Cited by 132 publications
(142 citation statements)
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“…Others have suggested VT and AP HRs primarily reflect changes in step-to-step symmetry [18]. Changes in trunk stability have also been reported using VT HRs [31].…”
Section: Discussionmentioning
confidence: 99%
“…Others have suggested VT and AP HRs primarily reflect changes in step-to-step symmetry [18]. Changes in trunk stability have also been reported using VT HRs [31].…”
Section: Discussionmentioning
confidence: 99%
“…Finally, calculating harmonic ratios is a way to assess smoothness of walking [51], [52]. Therefore we computed the harmonic ratios of low-pass filtered acceleration signals in every anatomical direction for each stride.…”
Section: Methodsmentioning
confidence: 99%
“…For example, harmonic ratio (HR) calculated for each stride has been examined for gait symmetry and smoothness of walking, with a perfect gait symmetry returning even harmonics in two planes of movement and odd in the third [64]. Recent work proposed standardised HR guidelines aimed to improve its mathematical definition and evaluation to enhance its use as a discriminative power between different cohorts [65].…”
Section: Micro Gaitmentioning
confidence: 99%