Abstract
BACKGROUND:
Posturography power spectra (PS) implementation has been proven to discriminate between sensory inputs detriment of vestibular and proprioceptive origin.
OBJECTIVE:
To deepen the role of posturography testing in the diagnostic route of dizzy conditions, by comparing two groups of patients –93 affected by cervicogenic dizziness (CGD) and 72 by unilateral vestibular hypofunction (UVH) –with a group of 98 age- and gender-matched healthy subjects, serving as control group (CON).
METHODS:
All participants underwent otoneurological testing including video head impulse test (vHIT) and posturography testing with PS analysis. They also filled in Dizziness Handicap Inventory (DHI), Tampa Scale for Kinesiophobia and Hospital Anxiety and Depression Scale questionnaires.
RESULTS:
UVH and CGD patients were found to have significant increase in vestibular- and proprioceptive-related PS values when compared with CON. Receiver operating characteristic curves found PS values to reliably discriminate both groups from CON. Positive and negative correlations were respectively found between vestibular-/proprioceptive-related PS domain and DHI in both groups and between PS and vHIT scores in UVH patients.
CONCLUSIONS:
PS analysis demonstrated to be useful in differentiating CGD and UVH patients each other and when compared to CON, to objectively represent perceived symptoms filled along the DHI scale and to corroborate the rate of vestibular deficit in UVH patients.
Keywords
Introduction
The complaint of “dizziness” is a vague descriptor of a multitude of sensations that can be attributable to a variety of pathophysiological processes [49]. Apart from cardiovascular/metabolic explanations and central nervous system disorders, the main causes of dizziness include peripheral vestibular dysfunction (i.e. unilateral vestibular hypofunction, UVH) and conditions involving the cervical spine, referred to as cervicogenic dizziness (CGD) [12]. CGD is a motion sensation deriving from a proprioceptive disturbance of the neck [17], it is characterized by the presence of imbalance, unsteadiness, disorientation (i.e. the feeling of being “lost”), neck pain, limited cervical range of motion, and may be accompanied by headache [27, 57]. To be considered CGD, dizziness should be closely related to changes in cervical spine position or cervical joint movement [45]. Many cases of CGD have been diagnosed post-whiplash injury, or have been associated with inflammatory, degenerative, or mechanical dysfunctions of the cervical spine [37 , 48], possibly resulting in a disruption of the cervical proprioceptive inputs to the vestibular nuclei [22, 48].
Despite these aspects, CGD still remains a clinical condition achieved by exclusion criteria; that is, its diagnosis exists considering that no single test is able to definitely verify the condition, and it cannot be confirmed by outcome, imaging, laboratory values, or unique signs and/or symptoms [13, 48]. Diagnoses by exclusion are challenging for healthcare practitioners and patients because a strong understanding of the sequencing of proper tests and measures - reliable to rule out or rule in competing diagnoses - is needed. In particular, such uncertainties in diagnostic route reflect i) doubts regarding the causes underpinning the symptoms of imbalance, unsteadiness, and disorientation and ii) those neuropsychological disturbances which equally affect subjects suffering both from proprioceptive and/or peripheral vestibular conditions [16 , 54].
Given these aspects and recent evidences demonstrating vestibulo-ocular reflex (VOR) analysis, by means of diverse clinical tests, as not fully conclusive in the diagnostic route of patients complaining from dizziness-related symptoms [30, 56], previous experiences proposed to objectively assess postural instability by means of posturography measurements [16 , 59]. Indeed, this time-sparing technique and its implementations [16 , 59] have proven to be useful in detecting significant alterations in body sway during perturbating situations, as well as abnormalities in somatosensory and visual input ratio. This has been confirmed especially due to power spectra implementation, an analysis which has been largely used in postural assessment when handling both vestibular and proprioceptive deficits. [2 , 61].
Thus, considering that chronic vestibular hypofunction and spinal proprioceptive disorders represent frequent, often underdiagnosed causes of chronic dizziness in clinical practice, the aim of the present preliminary study is to further deepen the role of posturography testing in defining the diagnostic route and integrate the clinical aspects of these conditions, by means of a cross-sectional study comparing two groups of patients –affected by CGD and UVH –with a group of healthy subjects, serving as control group (CON).
Materials and methods
Participants selection
Participants were prospectively recruited from the ITER Center for Balance and Rehabilitation Research, a regional institutional interdisciplinary disorder clinic, and University of Rome Tor Vergata, after their enrolment in the local longitudinal cohort study. Considering the lack of specific tests recognized for the diagnosis of CGD, general accepted criteria supported by the literature were operationalized in order to achieve the clinical suspicion in right-handed subjects ranging from 18 to 65 years of age [24, 57], as following: 1. Exclusion of these differential diagnoses: a. Migrainous vertigo b. Vertigo of central origin c. Benign paroxysmal positional vertigo (BPPV) d. Meniere disease e. Vestibular neuritis f. Vertigo induced by drugs g. Psychogenic vertigo (anxiety and/or panic disorder and/or phobia) h. Orthostatic hypotension 2. Presence of a subjective feeling of dizziness associated with pain, movement, rigidity, or certain positions of the neck from at least 3 months; 3. Cervical pain, trauma, and/or disease 4. If from traumatic origin, there has to be a temporal proximity between the onset of dizziness and the neck injury. Diagnosis of CGD was considered if criteria 1 to 3 were fulfilled. As for criterion 2, dizziness had to occur during the same period than neck pain occurred and dizziness had to be proportional to the severity of the neck pain that generally fluctuates in time. Criterion 4 addresses cervicogenic dizziness occurring after a neck trauma [16, 59]. Specific exclusion criteria for this group were: presence of trauma or recent surgery in the head, face, neck, or chest; an otoneurological diagnosis of central or peripheral vertigo, and receiving physiotherapy during the study period.
Furthermore, in line with previous studies demonstrating functional correlations between vestibular dominance and side of vestibular lesion [6, 7], only right-handed patients affected by right chronic UVH participated in the study. According to accepted criteria [18], the diagnosis of chronic UVH was achieved by responses to bithermal water caloric irrigations, with at least 25%reduced vestibular response on one side when calculated by means of Jongkees’ formula after at least 3 months from the onset of symptoms [3, 18].
Finally, age- and gender-matched right-handed healthy subjects –with appropriate educational and cognitive level - were examined and included in the CON if they met the following criteria: (1) experiencing no neck pain or dizziness over the past 6 months, and (2) being 18 to 65 years old. Individuals belonging to all groups were required to report negative anamnesis for malignancy, head trauma, neuropsychiatric disorders, metabolic, cardiovascular, endocrine, infectious and other otoneurological diseases. A routine blood test was performed, in order to exclude subjects with undetected metabolic/endocrine conditions, while neurological disturbances were excluded using the Mini Mental State Examination (MMSE) and prescribing Magnetic Resonance Imaging in all participants in the study. Finally, no patient was pregnant or breastfeeding and all subjects taking drugs possibly affecting otoneurological/postural functions were excluded. The study was approved by the University Hospital Institutional Review Board, it adhered to the principles of the Declaration of Helsinki and all the participants provided written informed consent after receiving a detailed explanation of the study.
Evaluation criteria suggested in literature [35, 57] and including history, physical examination and a thorough clinical otoneurological examination (including pure tone audiometry and impedance, binocular electrooculography analysis with positional maneuvers, Head Shaking Test, clinical Head Impulse Test [cHIT] as well as limb coordination, gait observation and Romberg stance Test) were devised to exclude other causes of dizziness [28, 32] before the three groups of subjects underwent:
Objective testing
Video Head Impulse Testing (vHIT)
For vHIT measurements the EyeSeeCam System and the technique proposed in previous studies were used [9, 33]. The vHIT results were classified as abnormal if two conditions were met: abnormal gain according to the calculated normative data and presence of refixation saccades (revealed by visual inspection, according to Blodow et al. [9]). With the manufacturer’s software (OtoAccess), both side median (med) values recorded at 60 milliseconds were extracted on.xls files for raw analysis. In line with previous procedures [9 , 33], diagnosis of UVH was confirmed in the present cohort in case of gain below 0.85 and 0.82 for the right and left sides respectively. This was calculated as the lower cut-off value of the gain-reference range (meannormal±2(standard deviations; SD) equal to 0.93±2(0.04) and 0.92±2(0.05) for right and left side respectively), incorporating 95%of healthy population, age- and gender matched with the current population of patients [9 , 32] and including the above-mentioned normal volunteers in our laboratory.
Static posturography testing
Each patient was instructed to keep an upright position on a standardized platform for static posturography (EDM Euroclinic). The recording period was 60 seconds for each test (eyes closed or open while standing on the stiff platform) and the sampling frequency in the time domain was 25 Hz [2, 33]. The center of pressure was monitored, while performing the test. The posturographic parameters considered in our study were the path length (length), the 95%confidence ellipse area (area) both calculated according to Prieto et al. [44], and the fast Fourier transform (FFT) elaboration of oscillations on both the X (right-left) and Y (forward-backwards) planes [2, 33]. Time-domain oscillation signals (X and Y) were extracted from the original manufacturer’s software into.txt format and the FFT elaborations were gained through a core function implemented on Matlab space (Appendix A) [32, 33]. Spectral values (power spectra, PS) of body oscillations were quantified on an.xls file, for every frequency from 0.0122 to 4.9927 Hz [33]. As in previous experiences [33], we subdivided the frequency spectrum into three groups: 0.0122 to 0.6958 Hz (low-frequency interval); 0.708 to 0.9888 Hz (middle-frequency interval); 1.001 to 4.9927 Hz (high-frequency interval). Following previous experiences accounting for the reliability of this method [1, 14], within each frequency spectrum group, the spectral intensity was determined by adding the PS recorded for each frequency and the mean PS of the same group.[2 , 33].
Self-report (SRM) and Performance Measure (PM)
The Italian Dizziness Handicap Inventory (DHI) version comprises 25 questions designed to assess a patient’s functional (DHI-F; 9 questions), emotional (DHI-E; 9 questions), and physical (DHI-P; 7 questions) limitations on a three-point scale [39]. Fear of movement was quantified with the Italian language version of the Tampa Scale for Kinesiophobia (TSK-17), a 17 item self-report questionnaire in which each question was scored using a 4-point Likert scale ranging from 1 (strongly disagree) to 4 (strongly agree); 4 items (4, 8, 12, and 16) were negatively worded and reverse scored. Total score ranges between 17 and 68 points, with higher scores indicating a higher degree of kinesiophobia [36]. Anxiety and depression were evaluated with the Hospital Anxiety and Depression Scale (HADS). This self-administered questionnaire contains 14 items, rated on a 4-point Likert type scale (from 0 to 3 points). The tool includes 2 subscales of 7 items that assess anxiety and depression. The Italian-language version of the HADS has good psychometric properties [10].
Data handling and statistical analysis
The X2 test was carried out to define associations between categorical factors and groups. Mean and standard deviations (SDs) of objective testing and SRM/PM scores were calculated in all groups. To assess that data were of Gaussian distribution, D’Agostino K squared normality and Levene’s homoscedasticity test were applied (where the null hypothesis is that the data are normally and homogeneously distributed). A mixed analysis of variance was performed with the groups as between factors for each objective and SRM/PM variable. Gender, age, MMSE, educational level and time from CGD/UVH diagnosis (elapsing time, ET, in months), were treated—where possible—as categorical and continuous predictors. The significant cut-off level (α) was set at a p value of 0.05. Bonferroni correction for multiple comparisons was used for the post hoc test of the significant main effects. Then, a two-tailed Spearman’s rank correlation was performed between significant objective testing and SRM/PM scores in the CGD/UVH groups of subjects. Given the large sample size of this group and the two-tailed nature of the test, a significant cut-off level (a) was set at a p value of 0.05.
To assess the ability of posturography parameters to predict patients’ cause of dizziness, a receiver operating characteristic (ROC) area under the curve (AUC) analysis of the posturography parameters was undertaken, and values presented with their 95%confidence intervals (c.i.).
Sensitivities, specificities and likelihood ratios are reported for the optimal cut-off values (c), which have been determined by maximizing sensitivity and specificity for each ROC curve by means of the Youden Index (J), which defines the maximum potential effectiveness of a marker and is formally defined as J = maximum {Sensitivity (c) + Specificity (c) –1} (STATISTICA 7 package for Windows) [8, 20].
Results
Participants
Among 114 CGD and 81 UVH patients, 5 were found to take antidepressant drugs, 4 referred recent head/chest trauma, 4 were affected by BPPV, 3 demonstrated a VOR gain below the normative range and/or a mismatch between vHIT and caloric testing results, 5 were affected by diabetes, 5 were already undergoing rehabilitation treatment and 4 had history of alcohol abuse. Thus, after the exclusion of these individuals, 93 subjects (51 females, 42 males; mean age = 43.3±13.7 years) fulfilling inclusion criteria for CGD, 72 subjects diagnosed as suffering from UVH (39 females, 33 males; mean age = 45.3±14.1 years) and 98 age- and gender-matched healthy subjects (50 females, 46 males; mean age = 46±15.4 years) were enrolled in the study (Table 1). No statistical differences were found when comparing clinical and socio-demographic values of the three groups of subjects.
Clinical and socio-demographic description of participants
Clinical and socio-demographic description of participants
Clinical and socio-demographic aspects of cervicogenic (GCD), unilateral vestibular hypofunction (UVH) patients and helathy subjects serving as control group (CON). Time from diagnosis of UVH/CGD (elapsing time), ET; Mini-Mental State Exam, MMSE; video-head impulse test, vHIT; vestibulo-ocular reflex, VOR; acoustic neuroma, AN; petrous surgery, petrous; cochlear surgery, cochlear. Where required, mean± standard deviations are given.
According to the above-mentioned criteria for VOR gain deficit [9], UVH patients demonstrated significant reduction in the VOR gain in the affected ear (Table 1). The main symptom in UVH patients was dizziness, reported by 64 out of 72 patients (90%); 33 out of 72 patients (46%) reported vertigo, while 27 (37,5%) reported postural unsteadiness.
Bonferroni correction found a significant increase in area and length parameters –in both eyes closed and open condition –when comparing UVH with CGD patients and when comparing those groups to CON subjects. The same post-hoc correction highlighted a significant increase in PS values within the low-frequency interval in eyes closed condition on X and Y plane when comparing UVH to both CGD and CON subjects. Furthermore, a significant increase in PS values within the middle-frequency interval in eyes closed condition on X and Y plane was found when comparing UVH and CGD patients to CON subjects. Finally, CGD patients were shown to have a significant increase in PS values within the high-frequency interval in eyes closed condition on X and Y planes when compared with UVH and CON subjects (Table 2, Fig. 1).
Main effects of posturography measurements between CGD, UVH and CON subjects
Main effects of posturography measurements between CGD, UVH and CON subjects
Main effects of objective measurements in cervicogenic (CGD) and unilateral vestibular hypofunction (UVH) subjects when compared with control group (CON). Eyes closed, EC; eyes open, EO; power spectra, PS; low-frequency domain, L; middle-frequency domain, M; high-frequency-domain, H; X plane, X; Y plane, Y; standard deviation, SD. *, # and l, respectively indicate post-hoc significant comparisons between CGD and CON, CGD and UVH and UVH and CON.

Mean and standard deviation of posturography power spectra analysis when comparing cervicogenic dizziness (CGD), unilateral vestibular hypofunction (UVH) and control group (CON) subjects. Eyes closed, EC; eyes open, EO; X plane, X; Y plane, Y. Brackets indicate significant comparisons.
Post-hoc correction demonstrated a significant increase in all DHI subsets when comparing UVH patients to CON and CGD subjects, and the latter group significantly scored higher DHI subsets values when compared with CON. Finally, UVH and CGD patients were found to significantly score higher values in TSK-17 and both anxiety and depression subsets of HADS when respectively compared to CON subjects (Table 3)
Significant differences in self-report and performance measures between CGD, UVH and CON subjects
Significant differences in self-report and performance measures between CGD, UVH and CON subjects
Between-group effect of main self-report and performance measures when comparing cervicogenic (CGD), unilateral vestibular hypofunction (UVH) and healthy subjects serving as control group (CON). Dizziness Handicap Inventory, DHI; Physical, P; Functional, F; Emotional, E; Tampa Scale for Kinesiophobia, TSK-17; Hospital Anxiety and Depression Scale, HADS. *, # and l, respectively indicate post-hoc significant comparisons between CGD and CON, CGD and UVH and UVH and CON.
PS values in eyes closed condition on X plane within low-frequency intervals were found to distinguish UVH patients from CON subjects, with an AUC of 0.94 (95%c.i. 0.91 to 0.97) and a cut-off value of 6.62 (sensitivity: 83.3%, 95%c.i. 72.7%to 91%; specificity: 88.7%, 95%c.i. 80.8%to 94.2%) (Fig. 2A). PS values in eyes closed condition on X plane within high-frequency interval were found to distinguish CGD patients from CON subjects with an AUC of 0.95 (95%c.i. 0.92 to 0.97) and a cut-off value of 1.25 (sensitivity: 96.7%, 95%c.i. 90.8%to 99.3%; specificity: 78.5%, 95%c.i. 69.1%to 86.2%) (Fig. 2B).

Receiver operating characteristic (ROC) curve depicting sensitivity, specificity and cut-off values for power spectra analysis in A) eyes closed condition on X plane within low-frequency interval in unilateral vestibular hypofunction patients and in B) eyes closed condition on X plane within high-frequency interval in cervicogenic dizziness patients, respectively compared with control subjects. Cut-points (c) have been calculated according to the Youden Index (J) = maximum {Sensitivity (c) + Specificity (c) –1}.
Finally, a positive correlation was found between PS values –within both low- and high- frequency interval in eyes closed condition on X and Y planes - with total DHI scores in UVH (r = 0.84 and r = 0.77) (Fig. 3A) and CGD patients (r = 0.85 and r = 0.75) (Fig. 3B), respectively, and a negative correlation was demonstrated in UVH subjects between PS values within low-frequency interval in eyes closed condition on X and Y planes and VOR gain of the affected ear (r = –0.78 and r = –0.71) (Fig. 3C).

Plotted scatterplots of positive correlations between total Dizziness Handicap Inventory scores and power spectra (PS) values in eyes closed condition on X and Y planes within A) low-frequency interval in unilateral vestibular hypofunction (UVH) and B) high-frequency interval in cervicogenic dizziness (CGD) patients. In C) negative correlation between PS values within low-frequency interval in eyes closed condition on X and Y planes and vestibulo-ocular reflex (VOR) gain of the affected ear in UVH subjects.
Beyond the expected and significant postural sway differences in length and area parameters among the three study groups, the first interesting finding in the present study is the significant difference in power spectra analysis when comparing UVH and CGD subjects to controls, along different frequency domains (Table 2, Fig. 1). The implementation of such analysis, depicting postural rearrangement in CGD and UVH patients, demonstrated a significant increase in middle- and low-frequency intervals for UVH relative to CON, and in middle- and high-frequency intervals for CGD relative to CON (Fig. 1 2). Among the vast literature concerning this topic, several categorizations of frequency bands have been proposed and the main subdivision has been found between oscillations under or over the value of 1-2 Hz [2 , 42]. However, present findings reinforce those studies depicting different kind of oscillation rearrangement to correlate with different neural loops regulating balance: a longer loop associated with visuo-vestibular regulation (lower frequencies) and a shorter loop (i.e. ‘myotatic loop’), due to proprioceptive participation, producing higher frequency oscillations [2 , 42]. Oscillations in the range around and over 1 Hz and around and under 0.7 Hz have been respectively linked by previous studies to an increase in the proprio-spinal reflex [11], thus reflecting proprioceptive cues, and in the vestibulo-spinal reflex (VSR) [2, 32], reflecting vestibular inflows. In line with these assumptions, patients with vestibular and proprioceptive deficits have been previously found to increasingly sway within respective domains [2, 32] and previous studies found that an increase in PS within a frequency range is associated with weakness in the relative sensory cue [2 , 38]. Extending these aspects, ROC curves for the eyes closed condition on X plane demonstrated PS cut-off values of 6.62 (Fig. 2A) within low-frequency interval and 1.25 (Fig. 2B) within high-frequency interval, when contrasting PS values of each group with CON. This may indicate spectral analysis as a supportive tool in the diagnostic route of dizziness considering that neural networks of postural control are highly overlapping. Indeed, it has been proposed that a disruption of the normal afferent signals from the upper cervical proprioceptors –accounting for CGD - results in aberrant information being sent to the vestibular nuclei [47, 58]. This could result in an inaccurate depiction of head and neck orientation in space [23, 48], which would cause alteration of postural stability, and of head and eye movement control [23, 24].
Furthermore - from a clinical point of view - this kind of implementation assumes more relevance considering that PS –within both low- and high- frequency intervals in eyes closed condition on X and Y planes - positively correlated with total DHI values in UVH and CGD patients, respectively (Fig. 3A and 3B). If on one side PS values under vestibular control have been extensively correlated with cognitive and biological parameters in previous experiences [31, 34], the present study found, for the first time, a relationship between posturography implementation and a widely implemented tool for studying the impact of dizziness on individual performance [39], opening a further strategy to disentangle possible mismatching factors between the objective source and subjective perception of dizziness. In fact, since previous studies found that the severity of subjective symptoms, as assessed by the DHI, represents the strongest predictive factor for quality of life [16 , 46] in vestibular and cervicogenic disorders, dynamic posturography parameters were found to be independent predictors of DHI score [51, 60] indicating dynamic postural tests, rather than static posturography, as more associated to subjectively perceived dizziness [55]. Studies have shown that balance performance, when measured quantitatively using laboratory testing, does not necessarily correspond to the extent of handicap in patients with dizziness, with correlations ranging from weak to moderate [15 , 55]. Lack of synchrony between subjective complaints and objective findings, with respect to balance, is common in patients with dizziness and previous studies confirmed that quiet stance postural measurements weakly account for the perceived dizziness measured by means of DHI [15, 29], possibly due to the fact that diverse individual factors (e.g. cognitive resilience, visual influences, walking conditions, etc...) may play critical roles in the perception of impaired movement, stability, somatosensory processing, or chronic subjective dizziness, related to reciprocal effects between subcortical multisensory organization regions and cortical areas subserving cognitive and emotional processes [53, 60].
A negative correlation was found between PS values within low-frequency domain in eyes closed condition in both X and Y planes and VOR gain when measured by means of vHIT in UVH patients (Fig. 3C). Considering the multimodal sensory rearrangement involved in higher processes of vestibular recovery, some studies to now tried to correlate compensatory and adaptive processes for the VOR and the VSR, evaluated by means of different vestibular stimulation testing and posturography [40]. In the present study, such correlation appears to be of interest, considering that balance control for the stance task in eyes closed condition - studied for the first time by means of a spectral analysis sub-grouping frequencies related to the vestibular system and depending on these inputs for stability [19] - tends to parallel with VOR gain. Despite evidences positing VSR and VOR neural pathways to no longer follow a common route beyond the vestibular nuclei, present findings reinforce theories positing that functional relationships between the two exist [4]. Although these connections could open new strategies in the diagnostic/prognostic route of dizziness complaints due to UVH, caution should be applied when pairing VOR results and the vestibular-spinal status after UVH onset. This is due to the fact that: i) balance control is a result of vestibulo-spinal responses interacting with the proprioceptive system [4 , 19] and a product of vestibular neural pathways different than VOR ones and ii) VOR testing does not duplicate head velocity profiles necessary to characterize the vestibular component of the balance disability experienced by UVH patients during stance and gait tests [4].
In conclusion, the present study findings advocate posturography testing implementation in the diagnostic route of patients suffering from dizziness due to vestibular and cervicogenic sources. Especially, power spectral analysis demonstrated to be useful in differentiating –with appropriate cut-off values –CGD and UVH patients, to objectively represent perceived symptoms filled along the DHI scale and to finally corroborate the rate of VOR gain deficit in UVH patients, possibly suggesting a certain degree of mutual influence between this reflex and VSR.
Limitations of the study
The present study suffers from some limitations which have to be addressed when pointing attention to the results. These, indeed, have to be interpreted as an explorative attempt at depicting reliable cut-off values distinguishing PS outcomes between CGD/UVH patients and a control group. This choice, which should not be intended as a proof of differences between UVH and CGD, was adopted as a preliminary effort in order to depict possibly useful values for future studies aiming at detecting differences between the two groups of patients.
Declaration of interest
All authors certify that they have NO affiliations with or involvement in any organization or entity with any financial interest (such as honoraria; educational grants; participation in speakers’ bureaus; membership, employment, consultancies, stock ownership, or other equity interest; and expert testimony or patent-licensing arrangements), or non-financial interest (such as personal or professional relationships, affiliations, knowledge or beliefs) in the subject matter or materials discussed in this manuscript.
Author contributions
Conceptualization MA, AM, AV; Data curation AM, MA, BM, GDF; Formal analysis AM, MA, AV; Funding acquisition MA, AM; Investigation AM, AV, MA; Methodology AM, AV, MA, BM, GDF; Project administration MA, AM; Resources AM, MA, AV, GDF, BM; Software AM, MA; Supervision MA, AM, BM; Validation AM, Ma; Visualization MA, AM; Roles/Writing - original draft AM, MA, AV, BM, GDF; Writing - review & editing MA, AM, AV, GDF, BM.
Footnotes
Appendix A
Core function implemented in Matlab in order to obtain fast Fourier transform of X and Y oscillations. The symbol ‘%’ and ‘s’ represent a Matlab comment and X or Y oscillations, respectively:
L = length(s) %s vector of signal values
Fs = 25; %Sampling frequency
NFFT = 2∧nextpow2(L); %Next power of 2 from length of s
f = Fs/2*linspace(0,1,NFFT/2 + 1);
S = fft(s,NFFT)/L; %FFT of a signal s
modS = 2*abs(S(1:NFFT/2 + 1));
ms = max(modS);
S_norm = modS/ms;
