Abstract
Morbidity and falls are problematic for older people. Wearable devices are increasingly used to monitor daily activities. However, sensors often require rigid attachment to specific locations and shuffling or quiet standing may be confused with walking. Furthermore, it is unclear whether clinical gait assessments are correlated with how older people usually walk during daily life. Wavelet transformations of accelerometer and barometer data from a pendant device worn inside or outside clothing were used to identify walking (excluding shuffling or standing) by 51 older people (83 ± 4 years) during 25 min of ‘free-living’ activities. Accuracy was validated against annotated video. Training and testing were separated. Activities were only loosely structured including noisy data preceding pendant wearing. An electronic walkway was used for laboratory comparisons. Walking was classified (accuracy ≥97 %) with low false-positive errors (≤1.9 %, κ ≥ 0.90). Median free-living cadence was lower than laboratory-assessed cadence (101 vs. 110 steps/min, p < 0.001) but correlated (r = 0.69). Free-living step time variability was significantly higher and uncorrelated with laboratory-assessed variability unless detrended. Remote gait impairment monitoring using wearable devices is feasible providing new ways to investigate morbidity and falls risk. Laboratory-assessed gait performances are correlated with free-living walks, but likely reflect the individual’s ‘best’ performance.
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1 Introduction
Quantitative gait parameters have been associated with neuromuscular gait disorders [24], fall risk [10], physical activity [32], and the effect of exercise [21]. Laboratory gait assessment mostly uses electronic walkways, passive marker systems, and footswitches in standardized laboratory settings [18]. Laboratory gait assessments have good psychometric properties; however, relationships between straight line reference walks in controlled settings [30] and less constrained walks [1, 14] or walking during daily life [26] require further investigation.
Recent technological developments in wearable sensors have made remote activity monitoring in ‘free-living’ environments possible [22, 26]. Algorithms have been developed to identify and assess different types of physical activities, for example: peaks associated with steps or strides [12], sit-to-stand transfers [22], and walking on stairs or level ground [25, 29, 35].
However, accuracy of these algorithms to assess activities of daily life may strongly rely on correct device positioning and orientation [13], and elaborate set-up may be required. Previous studies have used waist, leg, ankle, and/or sternum-mounted sensor devices to collect accelerometer and/or barometric pressure data [1, 13, 22, 33, 35]. Compared to structured laboratory studies, reported performance of activity classification algorithms drops in daily life simulations [11], or if the training and validation groups are independent [9]. The detection of less-structured walks during daily life activities is often confused with quiet standing and shuffling movements [1, 9, 11], especially in older people with impaired mobility [13]. Thresholds may either be set for high sensitivity (87–94 % [11]), with correspondingly high false-positive errors (19–28 %), or for low false-positive errors (2 ± 2 % [9]), with correspondingly reduced sensitivity (74 ± 30 %) to detect walking periods.
For classifying activities, wavelet transformations [13] of acceleration data may be better than Fourier transformations [4, 36]. Wavelets provide new ways of investigating gait complexity [29] or abnormalities such as stumbles [15]. Here, we present a new method to remotely monitor gait impairments, which combines discrete wavelet decomposition with decision tree algorithms. Wavelets are good for describing local regularities in gait signals [12] and, for example, already accepted for heart monitoring of ventricular arrhythmias [3]. In this study, the Daubechies ‘db5’ wavelet is used. The ‘db5’ wavelet is widely used in signal processing applications due to its simplicity and continuous first-order derivative [2].
In remote and prolonged monitoring applications involving older adults, it may be more difficult to ensure strict compliance and precise device placement. Freely worn devices providing similar accuracy [9, 17] have advantages. Acceptance of pendant devices by independent living people at risk of falls may be inferred from the many Personal Emergency Response Systems (PERS) commercially available, which generally include discrete pendant sensors.
In summary, previous work suggests several limitations with remote gait assessments during unrestricted free-living settings. Issues include: reliance on correct device positioning; confusion between walking, shuffling, and quiet standing; and understanding about how free-living gait relates to laboratory-assessed gait. Therefore, as part of the current study, semi-structured daily activities by 51 older adults were recorded using a freely worn pendant sensor. Our objectives were to investigate: (a) whether a new wavelet-based decision tree algorithm could distinguish continuous walking from shuffling movements with both high sensitivity and low false-positive errors; (b) how walking during daily activities relates to laboratory-assessed gait; and therefore, (c) whether remote gait analysis with a freely worn pendant device is feasible.
2 Methods
2.1 Overview
Fifty-one older people wore a small pedant device and completed 25–30 min of ‘free-living’ activities (Fig. 1). Annotated video was used as the gold standard. To identify periods of walking, decision tree algorithms were developed based on wavelet transformations of the data. To investigate how walking as part of daily life activities relates laboratory assessment, gait was also measured using an electronic walkway. Algorithm code and example data are available from the author.
2.2 Participants
Fifty-one community-dwelling older adults (83 ± 4 years) were recruited from the fourth wave of the Sydney Memory and Ageing Study [28]. Participants able to walk with or without a walking aid participated in the study. The study was approved by the University of New South Wales Human Studies Ethics Committee, and all participants provided informed consent prior to participation. Age, height, weight, body mass index (BMI), and physiological fall risk assessed using the Physiological Profile Assessment (PPA) [20] were recorded.
2.3 The inertial pendant device and unrestricted placement
Participants wore the Philips® Senior Mobility Monitor (SMM, Philips Research Europe, Eindhoven, Netherlands) on a lanyard around their neck without further restrictions. The pendant (39.5 × 12 × 63.5 mm) contained a triaxial accelerometer and a barometer. The accelerometer had a sampling frequency of 50 Hz and range of ±8 G. The barometer had a sampling frequency of 25 Hz and an operating pressure range of 10–1200 hPa. The pendant’s lanyard length was adjusted to a self-selected height and worn inside or outside clothing. Data were stored on an SD card inside the SMM and extracted for processing on a desktop computer after the experiment was complete.
2.4 Free-living walking during semi-structured activities in a semi-controlled environment
The free-living experiment comprised 25–30 min of daily activities [34] that people might perform in their home environment (see Fig. 1). Durations were dependent on the functional performance of each participant. Activities were performed at Neuroscience Research Australia in a semi-controlled environment where corridors often contained other people walking. Free-living activities were semi-structured; participants were asked to perform several tasks in a given order, but were not given specific instructions about how to complete each task.
Tasks included: sitting down on soft and hard chairs, lying down on a sofa, switching power outlets at floor level, and light switches at shoulder level. In one of the tasks, participants were asked to go to a kitchen bench, pour themselves a cup of water, carry the cup to a table, pull a chair out, sit down, drink from the cup, return to the kitchen bench, and wash their cup in a sink. Other tasks included bending to put rubbish in the bin, walking through corridors, walking between rooms, moving about within a room, taking the elevator, walking up and down stairs, and stopping to look out windows.
2.5 Video annotation
For validation, free-living activities were simultaneously recorded with a hand-held video camera. Activities were annotated by a trained observer, using custom software to record the precise timings. Annotated ‘walking’ required continuous stepping, progression down a corridor or between spaces, and was defined between the first and last heel strikes. Continuous stepping required at least three consecutive heel strikes that had to be no more than 3 s apart. Shuffling movements within a room were annotated as ‘not walking’; for example, moving a short distance from sink to table. Stair negotiation was separated from continuous walking for decision trees one (DT1) and two (DT2), but not for decision tree three (DT3); see Tables 1 and 2.
2.6 Wavelet interpretations of free-living activities
For the wavelet detection of continuous walking over flat ground, participants were randomly assigned to independent training (n = 25) and testing groups (n = 26). In addition to the unrestricted device placement, further mechanisms were devised to simulate ‘worst-case’ remote monitoring scenarios. For 3 min before the participant put on the inertial pendant (approximately 10 % of the active duration, see Fig. 1, Misc1), the device was exposed to unrestricted movements: randomly picked up, carried about the room, swung by the lanyard, passed from person to person, and synchronized by hitting it twice against a table top.
Discrete wavelet decomposition was performed using the Daubechies ‘db5’ wavelet to transform the acceleration signal into an array of coefficients (Fig. 2a), whereby coefficients at each subsequent level (vertical axis) represent signal power at half the previous mid-pseudo-frequency. In Fig. 2a, level 1 represents signal power at the mid-pseudo-frequency of 16 Hz, level 2 at 8 Hz, level 3 at 4 Hz, level 4 at 2 Hz, level 5 at 1 Hz, level 6 at 0.5 Hz, level 7 at 0.25 Hz, and level 8 at 0.13 Hz. As frequency resolution increases, temporal resolution decreases (horizontal axis) and the coefficients at subsequent levels each cover twice the time period. Normalized signal strength is plotted (Fig. 2a) from zero (black) to one (white). This provides an efficient way to simultaneously identify both frequency and temporal changes associated with steps taken during continuous walking.
Inspection of the training set revealed several pertinent features, which in combination showed potential to identify continuous walking. Postural transitions causing changes in device orientation, such as the recline-to-stand (Fig. 2d), were characterized by detail levels 6 and 7 of the triaxial acceleration (vertical only shown), corresponding to mid-pseudo-frequencies of approximately 0.25 and 0.5 Hz, respectively. The direction of a transition (Fig. 2e), such as the sit-to-stand (upwards) or stair negotiation, was characterized by pressure changes in the level 6 approximation of the differentiated barometer signal, which were negatively correlated with height changes. Rhythmical heel strikes while walking (Fig. 2c) were characterized by peaks in detail levels 4 and 5 of the vertical acceleration (corresponding to mid-pseudo-frequencies of approximately 1 and 2 Hz) and could be separated from similar peaks during miscellaneous impacts by the frequency ratio. Vertical acceleration (Fig. 2b) was extracted, using a level 7 approximation of the gravity vector to correct for low-frequency changes in device orientation, similar to previous methods [5]. The frequency ratio was calculated over consecutive 62 point (≈1.2 s) moving average data windows by dividing the level 4 and 5 details of vertical acceleration by the level 1 and 2 details of vertical acceleration. Window length for frequency ratio was selected to encompass at least two heel strikes at an expected step frequency of 1.6 Hz.
2.7 Wavelet detection of continuous walking using decision trees
Three empirical decision tree algorithms were developed to identify continuous walking. The first decision tree (DT1, Fig. 3) had four nodes and was designed to separate continuous walking from all other activities including stair climbing. The first two decision nodes rejected data where orientation changes or height changes were above thresholds expected during walking over flat ground (Figs. 2d, e). The third node retained data containing heel strike peaks above a set threshold (Fig. 2c, circles). Finally, the fourth node only retained walks with more than a set number of consecutive heel strike peaks (Fig. 2c, horizontal band).
The second decision tree (DT2) had five decision nodes, additionally using the frequency ratio. In this case, a walk also required stepping frequencies (details 4 and 5) to be significantly greater than higher frequencies (details 1 and 2) associated with some miscellaneous movements.
The third decision tree (DT3) did not use the barometer data and therefore had only four decision nodes. Consequently, in this case no attempt was made to separate stair climbing from walking.
2.8 Grid search and classification performance
Agreement between continuous walking detected by the algorithms and walking annotated in the recorded videos was calculated using Cohen’s Kappa because it accounts for sample bias [16] and incorporates all elements of the confusion matrix. A Kappa of unity indicates perfect agreement. Grid searches (Table 1) were performed in MATLAB® 2013a using data from the 25 participants in the training group. Threshold values (Table 2) residing in the geometric centre of a broad plateau representing global optimum performance (Fig. 3, left panel) were selected. Performance was then validated using data from the 26 participants of the testing group (Table 2). We also calculated accuracy (defined as the percentage of all activities correctly classified) false-positive errors (defined as the percentage of incorrectly identified walks) and sensitivity (defined as the percentage of correctly identified walks).
2.9 Clinical assessment
Participants were instructed to perform three walks at their usual walking speed on a 4.60 m GaitRite® electronic walkway (CIR Systems Inc. Clifton, NJ 07012). All walks were performed according to the European guidelines for clinical applications of spatiotemporal gait analysis in older adults [19]. Gait parameters were obtained from GaitRite® software version 3.3 and included speed (cm/s), cadence (steps/min), step length (cm), and the standard deviation (SD) of step times (s).
2.10 Wavelet assessment of free-living walking
2.10.1 Cadence
A peak detection algorithm was used to identify steps in walks previously classified by the first wavelet detection algorithm (DT1, Fig. 3). Peaks in the detail levels 4 and 5 of the vertical acceleration were counted, provided they were greater than half the threshold selected in the previous grid search and were between 300 and 3000 ms apart. Free-living cadence was then calculated as the number of peaks counted divided by walk duration in minutes. From all free-living walks greater than 10 steps (the threshold for DT1) by each participant, the 2.5, 25, 50, 75, and 97.5 cadence percentiles were recorded.
2.10.2 Step time variability and detrended variability
Variability during free-living walks was calculated by the standard deviation of step times in seconds. Step times were calculated by the duration between the successive acceleration peaks previously used to calculate cadence. Detrended variability (Fig. 5) was calculated by subtracting a five-point moving average from the step times prior to obtaining a standard deviation. Detrended variability was calculated to prevent the longer-term changes in cadence, associated with accelerations and decelerations during free-living walks, potentially swamping the shorter-term step time variability. Median values from multiple walks by each participant were recorded.
2.11 Free-living correlates for walking speed and step length
The root-mean-squared (RMS) vertical acceleration [23] and the RMS vertical velocity oscillation were calculated for each walk previously identified by the first wavelet detection algorithm (DT1, Table 1). Vertical velocity oscillations were calculated by integrating vertical acceleration and high-pass filtering using bidirectional fourth-order Butterworth filter with 0.75 Hz cut-off frequency [5]. Median values from multiple walks by each participant were recorded.
2.12 Statistical comparison of free-living walking and laboratory gait assessment
Assumptions for parametric statistic were met. Pearson’s correlations and paired t tests were used to investigate possible associations and differences between spatiotemporal gait parameters from free-living and laboratory gait assessments. SPSS 20.0 (SPSS, Inc., Chicago, IL) was used for data analyses with a significance level of 0.05.
3 Results
Participants ranged in age from 76 to 96 (mean 83 ± 4 years), had varied heights (167 ± 9 cm), and had varied weights (69 ± 14 kg). According to their Physiological Profile Assessments, they also had varied physiological fall risk [20] with scores ranging from −0.62 to 2.53 (0.90 ± 0.82). Thirty-one participants were male and twenty were female. Participants were towards the upper healthy range for body mass index (25 ± 3 kg/m2).
3.1 Wavelet-based decision tree detection of continuous walking
During the semi-structured daily activities, we observed orientation and position of the device relative to the subjects’ thorax could change. Device movement could be unpredictable, as the device could become temporally entangled in clothing or participants could ‘fiddle’ with the device. Despite this noisy data, the training grid search revealed a robust solution space, with strong agreement between walks detected by the algorithm and the video annotation. Within a broad peak of optimum Kappa (Fig. 4, left panel), algorithm performance plateaued and was relatively insensitive to small changes in thresholds. Final thresholds for the first decision tree (Table 1) required continuous walking to have at least 10 consecutive steps with acceleration peaks greater than 0.5 m/s2. Postural transitions and/or stair climbing were excluded by thresholds of 2.2 m/s2 and 2.5 Pa/s (equating to a rate of height change of around 18 cm/s).
In the test group, the thresholds for the first decision tree (DT1) resulted in good agreement with the annotated video (κ 0.90, accuracy 97.1 %, sensitivity 90.9 %, and low false-positive errors of 1.6 %, Table 2). For the second decision tree, increasing decision tree complexity by adding a node for the frequency ratio (≥1.75) slightly improved performance (κ 0.91). The third decision tree, which did not use barometer data, also had marginally better performance (κ 0.93), but could not separate stair climbing from walking.
3.2 Associations between free-living and laboratory gait analysis
Compared to the laboratory assessment of cadence on the electronic walkway (110 ± 9 steps/min, Table 3), participants had significantly lower median cadence during free-living (101 ± 7 steps/min, p < 0.001), but no significant difference was observed for maximum free-living cadence (p < 0.19). Furthermore, maximum free-living cadence was most correlated with laboratory-assessed cadence (r = 0.80, p < 0.001). Laboratory assessment of step length was most correlated with RMS vertical velocity oscillation during free-living (r = 0.71, p < 0.001). Laboratory assessment of walking speed was most correlated with RMS vertical acceleration during free-living (r = 0.68, p < 0.001).
Compared to laboratory assessment of step time variability (19 ± 10 ms, Table 3) from constant speed walking, participants had significantly higher step time variability in the free-living environment (103 ± 53 ms, p < 0.001). A significant correlation was observed between laboratory assessment of step time variability and detrended step time variability in the free-living environment (r = 0.31, p < 0.03).
4 Discussion
4.1 Wavelet-based decision tree detection of continuous walking
Accurate identification of continuous walking during activities of daily life was feasible using the freely worn inertial pendant sensor (κ 0.90, accuracy 97 %). Different to previous research, our main focus was on the problematic distinction between continuous walking, shuffling, and quiet standing. This singular focus enabled both high sensitivity (90.9 %) and low false-positive errors (1.6 %) to be obtained. Previously, during free-living simulations, high sensitivity has been achieved using a device fixed to the lower back [11], and low false-positive errors have been achieved using a mobile phone [9], but not simultaneously.
One strength of the new wavelet-based decision tree algorithms was that despite several mechanisms devised to simulate ‘worst-case’ real-world scenarios we still observed low false-positive errors. For example, the device was fiddled with, carried in the hands of a technician, randomly lifted up, and banged down on a table. Furthermore, including data from a barometer enabled stair climbing to be separated from walking.
Similar to others [25], our approach defined continuous walking by consecutive heel strikes. However, in the current study the device was worn freely and not rigidly strapped to a bony landmark. Compared to more structured experiments [22], for example involving a fixed ten metre walk [12], we did not achieve 100 % accuracy. The difference may relate to our semi-structured experimental design and noise from miscellaneous activities, which were included to reduce the likelihood of overtraining. Our older participants (76–96 years of age) were of varied height, weight, and physical capacity. They completed many walks of varied lengths including shuffling and various activities while quite standing (Fig. 1). Variability in the training data increases the likelihood that similar performance will be obtained during future remote and prolonged monitoring applications.
In our training group, increasing the number of steps required for a walk reduced the false-positive errors (Fig. 4, right panel). However, because our participants completed both short and long walks, increasing the number of steps required for a walk also increased the number of walks missed. Therefore, within the ‘plateau of optimum performance’, increasing the number of steps required for a walk resulted in little change to overall performance (Fig. 4, left panel). The annotated videos revealed that most errors were due to confusion between shuffling and walking. Walks were missed (causing decreased sensitivity) if too few steps were taken, for example, by the more athletic participants taking ‘too few’ longer steps to enter the elevator (see Fig. 1, EE). Conversely, false-positive errors were caused by prolonged shuffling, which the video annotator deemed to be without the purpose of getting to a new location, for example, by the more ‘frail’ participants taking ‘too many’ shorter steps while moving to the sink.
Improved performance was achieved by increasing algorithm complexity (κ 0.91), and by not excluding stair climbing from the definition of continuous walking (κ 0.93). Personalizing the thresholds may have led to further improvements. However, these alternative solutions were not used in our final solution (DT1) because we considered the marginal improvements did not justify the increased risk of overtraining and in the second part of the experiment, data from flat walking without any stair climbing were required. A decision tree approach may trade performance for increased interpretability and reduced complexity [7]. Our final solution successfully identified free-living walking patterns using just four decision nodes that had direct physical interpretations. With respect to the ‘big data’ requirements of population monitoring, a decision tree approach may provide computational efficiencies because at each node only a subset of the computations is required. For example, during long-term monitoring, if some ‘inactive’ periods of data were rejected by the top level node processing time would be reduced, because full computations would not be required for all data.
During selection of global thresholds, a robust moving average approach was used to avoid being ‘caught’ by any local maxima. In the training group, we observed a ‘plateau of optimum performance’ (Fig. 4, left panel) with many local maxima likely reflecting the finite limitations of the data set and discontinuities associated with step counting. Algorithm thresholds were therefore selected from the estimated geometric centre of this ‘plateau’, which was our best estimate of the global optimum solution.
We acknowledge certain limitations. One issue with using discrete wavelet transforms is shift variance [27, 31], whereby the wavelet coefficients may depend on the distance from the start of the data window to the signal of interest. Because the expected step frequency during continuous walking was around 1.6 Hz, any changes caused by shift invariance would be likely to inversely affect the level 4 coefficients (mid-pseudo-frequency 2 Hz) relative to the level 5 coefficients (mid-pseudo-frequency 1 Hz). Error associated with shift invariance was therefore minimized by combining the level 4 and 5 details and using the inverse discrete wavelet transform prior to heel strike detection. Furthermore, test–retest reliability of the method was not assessed. However, in a subsequent study the long-term measurement stability of the new method has been established using 8 weeks of remote monitoring [6].
4.2 Associations between free-living and laboratory gait analysis
We found significant correlations between laboratory gait analysis and free-living walking for measures of maximum cadence (r = 0.80, p < 0.001), step length (r = 0.71, p < 0.001), walking speed (r = 0.68, p < 0.001), and de-trended step time variability (r = 0.31, p = 0.03). However, free-living walks had significantly slower median cadences and greater step time variability (both p < 0.001), and no significant difference was found for maximum free-living cadence (p < 0.19). Together, these observations suggest that laboratory gait measurements do relate to free-living walking, but are more indicative of an individual’s ‘best’ performance, and not their usual performance. Therefore, both laboratory and free-living assessments might potentially provide complementary information about morbidity risk and fall risk.
Older adults tend to reduce their cadence, velocity, and step length with increasing age, and our laboratory gait assessments were within expected margins [18, 30]. Interestingly, step time variability during free-living walking (103 ± 53 ms) was approximately five times greater than when assessed in the laboratory with an electronic walkway (19 ± 10 ms) and not significantly correlated. One explanation could be that in the laboratory setting only steady-state straight walking was recorded, whereas fluctuating cadences were recorded during the free-living walks. We observed that step times often changed over several steps in the free-living walks (Fig. 5). Participants often accelerated at the start of a walk and slowed down as they approached various obstacles. Detrended step time variability was therefore calculated which removed these longer-term cadence changes. Although detrended step time variability was still greater (82 ± 46 s) than laboratory-assessed step time variability, it was significantly correlated (r = 0.31, p = 0.03).
Differences between free-living and laboratory assessments might also be explained by participants being more aware of measurements being taken during a clinical assessment. Participants might focus more on walking when travelling over an electronic walkway compared to assessment of daily activities when walks are measured using a discrete wearable device.
We observed that more vigorous participants, who walked faster and had greater step lengths during laboratory assessments, also had greater vertical accelerations (r = 0.68, p < 0.001) and greater vertical velocity oscillations (r = 0.71, p < 0.001) during free-living walks. These correlates were chosen because it was not practical to measure walking speed or step lengths directly from the pendant accelerations. However, vertical accelerations are correlated with walking speed squared [23], and principal component analysis has been used to show that many measureable gait features map to few underlying principal components, such as gait intensity or vigour [8], which comprises of step length, walking speed, vertical oscillations, and accelerations.
5 Conclusion
The new wavelet-based decision tree method accurately separated continuous walking from shuffling and other movements during the activities of daily life. Laboratory gait assessments correlated with free-living walking, but likely reflected an individual’s ‘best’ performance. Remote gait impairment monitoring using freely worn devices appears feasible and provides new ways to investigate morbidity and fall risk. Future work might investigate whether remote gait monitoring can be incorporated into existing pendant Personal Emergency Response Systems. The objective assessments of changes in gait quantity and gait quality over time could then be used to alert the associated healthcare providers of deteriorating health and/or increasing fall risk in participants.
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Acknowledgments
We gratefully acknowledge support which made this research possible. Devices were lent from Philips Research Europe, Netherlands. M.B., S.L., and K.D. were NHMRC Fellows, Australia. Y.G. was supported by the Margarete and Walter Lichtenstein Foundation, Switzerland.
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Brodie, M.A.D., Coppens, M.J.M., Lord, S.R. et al. Wearable pendant device monitoring using new wavelet-based methods shows daily life and laboratory gaits are different. Med Biol Eng Comput 54, 663–674 (2016). https://doi.org/10.1007/s11517-015-1357-9
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DOI: https://doi.org/10.1007/s11517-015-1357-9