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System overview. (a) shows the conceptual intuition behind our localization approach. Waves resulted from the footstep reach different sensors at different times. Such difference is estimated for localizing the source. (b) shows three steps of the algorithm. 

System overview. (a) shows the conceptual intuition behind our localization approach. Waves resulted from the footstep reach different sensors at different times. Such difference is estimated for localizing the source. (b) shows three steps of the algorithm. 

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We introduce a sensing system which leverages footstep-induced structural vibration for occupant localization. Such localization is important for many smart building applications, such as efficient building management, senior/health care, and security. Compared to other sensing approaches, footstep-induced vibration provides a sensing system which...

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... occupant localization system has three modules: 1) footstep detection, 2) TDoA estimation, and 3) footstep lo- calization. Figure 1 summarizes these steps. ...

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... Although vibration-based in-home gait health monitoring has succeeded in temporal gait parameter estimation and gait symptom/balance characterization [5,8], it has limited performance in footstep localization, leading to inaccurate spatial parameter estimation. Previous studies developed localization methods mainly based on the time difference of arrival (TDoA) at multiple vibration sensors [6,7,[16][17][18][19][20]24]. The average localization error of such methods is about 0.4 m, which is not accurate enough for gait analysis because the average human step length is ∼0.5 m. ...
... After that, we localize the footsteps through multi-lateration based on the velocity profile model and the time difference of arrival (TDoA) over multiple sensors. We choose the TDoA-based approach because it is less sensitive to the change of floor types and the shoe types [18,19], so it is more scalable to different people's homes. Finally, we compute the spatial gait parameters based on the estimated footstep location for in-home gait analysis. ...
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In-home gait analysis is important for providing early diagnosis and adaptive treatments for individuals with gait disorders. Existing systems include wearables and pressure mats, but they have limited scalability due to dense deployment and device carrying/charging requirements. Recently, vision-based systems have been developed to enable scalable, accurate in-home gait analysis, but it faces privacy concerns due to the exposure of people's appearances and daily activities. To overcome these limitations, our prior work developed footstep-induced structural vibration sensing for in-home gait monitoring, which is device-free, wide-ranged, and perceived as more privacy-friendly. Although it has succeeded in temporal parameter estimation, it shows limited performance for spatial gait parameter estimation due to the low accuracy in footstep localiza-tion. In particular, the localization error mainly comes from the estimation error of the wave arrival time at the vibration sensors and its error propagation to wave velocity estimations. To this end, we present GaitVibe+, a vibration-based footstep localization method fused with temporarily installed cameras for in-home gait analysis. Our method has two stages: fusion and operating stages. In the fusion stage, both cameras and vibration sensors are installed to record only a few trials of the subject's footstep data, through which we characterize the uncertainty in wave arrival time and model the wave velocity profiles for the given structure. In the operating stage, we remove the camera to preserve privacy at home. The footstep localization is conducted by estimating the time difference of arrival (TDoA) over multiple vibration sensors, whose accuracy is improved through the reduced uncertainty and velocity modeling during the fusion stage. We evaluate GaitVibe+ through a real-world experiment with 50 walking trials. With only 3 trials of multi-modal fusion, our approach has an average localization error of 0.22 meters, which reduces the spatial gait parameter error by 4.1x (from 111.4% to 27.1%) compared to the existing work.
... [eess.SP] 7 Dec 2022 footstep localization, leading to inaccurate spatial parameter estimation. Previous studies developed localization methods mainly based on the time difference of arrival (TDoA) at multiple vibration sensors [6,7,[16][17][18][19][20]24]. The average localization error of such methods is about 0.4 m, which is not accurate enough for gait analysis because the average human step length is ∼0.5 m. ...
... After that, we localize the footsteps through multi-lateration based on the velocity profile model and the time difference of arrival (TDoA) over multiple sensors. We choose the TDoA-based approach because it is less sensitive to the change of floor types and the shoe types [18,19], so it is more scalable to different people's homes. Finally, we compute the spatial gait parameters based on the estimated footstep location for in-home gait analysis. ...
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In-home gait analysis is important for providing early diagnosis and adaptive treatments for individuals with gait disorders. Existing systems include wearables and pressure mats, but they have limited scalability. Recent studies have developed vision-based systems to enable scalable, accurate in-home gait analysis, but it faces privacy concerns due to the exposure of people's appearances. Our prior work developed footstep-induced structural vibration sensing for gait monitoring, which is device-free, wide-ranged, and perceived as more privacy-friendly. Although it has succeeded in temporal gait event extraction, it shows limited performance for spatial gait parameter estimation due to imprecise footstep localization. In particular, the localization error mainly comes from the estimation error of the wave arrival time at the vibration sensors and its error propagation to wave velocity estimations. Therefore, we present GaitVibe+, a vibration-based footstep localization method fused with temporarily installed cameras for in-home gait analysis. Our method has two stages: fusion and operating. In the fusion stage, both cameras and vibration sensors are installed to record only a few trials of the subject's footstep data, through which we characterize the uncertainty in wave arrival time and model the wave velocity profiles for the given structure. In the operating stage, we remove the camera to preserve privacy at home. The footstep localization is conducted by estimating the time difference of arrival (TDoA) over multiple vibration sensors, whose accuracy is improved through the reduced uncertainty and velocity modeling during the fusion stage. We evaluate GaitVibe+ through a real-world experiment with 50 walking trials. With only 3 trials of multi-modal fusion, our approach has an average localization error of 0.22 meters, which reduces the spatial gait parameter error from 111% to 27%.
... To characterize the dispersive (i.e., frequency-dependent) wave propagation velocities, we have decomposed the signal using the wavelet transform which is suitable for analyzing and decomposing non-stationary signals (e.g., impulsive signals such as footsteps) [19,48]. The wavelet decomposition can be described as [49], ...
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In this paper, we characterize the effects of obstructions on footstep-induced floor vibrations to enable obstruction-invariant indoor occupant localization. Occupant localization is important in smart building applications such as smart healthcare and energy management. Maintenance and installment requirements limit the application of current sensing approaches (e.g., mobile-based, RF-based, and pressure-based sensing) in real-life applications. To overcome these limitations, prior work has utilized footstep-induced structural vibrations for occupant localization. The main intuition behind these approaches is that the footstep-induced floor vibration waves take different amounts of time to arrive at different sensors. These Time-Differences-of-Arrival (TDoA) can then be leveraged to locate the footstep by assuming similar velocities between the footstep and various sensor locations. This assumption makes these approaches suitable for open areas; however, real buildings have various types of obstructions (e.g., walls, furniture, etc.) which affect wave propagation velocities and hence significantly reduce localization accuracy. Therefore, the prior work requires unobstructed paths between footsteps and sensors for accurate occupant localization, which increases the sensing density requirement and thus, instrumentation and maintenance costs. We have observed that the obstruction mass is one of the key factors in affecting the wave propagation velocity and reducing the localization accuracy. Therefore, to overcome the obstruction challenge, we localize footsteps by considering different velocities between the footsteps and sensors depending on the existence and mass of obstruction on the wave path. Specifically, we (1) detect and estimate the mass of the obstruction by characterizing the wave attenuation rate, (2) use this estimated mass to find the propagation velocities for localization by modeling the velocity-mass relationship through the lamb wave characteristics, and (3) introduce a non-isotropic multilateration approach which robustly leverages these propagation velocities to locate the footsteps (and the occupants). In field experiments, we achieved average localization error of 0.61 meters, which is (1) the same as the average localization error when there is no obstruction and (2) 1.6X improvement compared to the baseline approach.
... However, vibration-based localization in buildings and homes is a challenging task due to vibration signal effects like dispersion, reflections, heterogeneity, and material discontinuity. Multiple applica-tions have been developed using footstep vibration and time difference of arrival (TDoA) to locate indoor pedestrians as shown in the works of Mirshekari et al. [210,211] (Fig. 8(1) and 8(3) respectively). However, TDoA presumed wave propagation in ideal scenarios and environments. ...
... In the same year 2016, Mirshekari et al. [211] introduce the use of the concept of multilateration in footsteps localization. The approach consisted of three steps; first, the footstep is detected using a thresholding method base impulse-like-excitation [199]; then, a TDoA estimation using time-frequency representations of the signal to extract the high energy peaks used as peak-based TDoA; finally, the footstep localization is estimated using multilateration because the foot strike is unknown and it can be leveraged the TDoAs of the signal to localize the source [219]. ...
... Pedestrian localization methods based on induced foot-step vibration. (1) Occupant localization approach proposed in[210]; (2) Framework for seismic sensor-based event detection and localization proposed in[212]; (3) Footstep localization method proposed in[211]. ...
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... To overcome these limitations, vibration-based sensing is introduced for occupant localization [21][22][23][24]. This approach does not need the occupants to carry a device (i.e., is non-intrusive) and allows sparse sensor deployment compared to other sensing approaches such as pressure-based sensing (e.g., smart carpets) which need a sensor for every footstep location and RF-based sensing approaches which require either extensive training for fingerprinting or need every person to carry a device to provide a good resolution [25] However, current localization approaches for vibration-based sensing either perform only coarse-grained localization [21] or are based on detailed prior information which limits their use to only specific locations and buildings where the localization models are calibrated [22,23,26]. ...
... Among the TFR approaches, wavelet decomposition has been successfully utilized for impulsive excitations (such as footstep-induced vibration) because it is suitable for representing non-stationary signals [35,24,26,[32][33][34]37]. The main wavelet-based approaches for source localization either utilize: (1) the ridge [32,33,37,35] (i.e., peak amplitude in scaletime plane) which is difficult to robustly estimate in real floors with environmental noise or (2) highest energy scale components [26,24] which potentially have large noise (ambient vibration) because this scale might correspond to the fundamental frequency of the floor. ...
... Among the TFR approaches, wavelet decomposition has been successfully utilized for impulsive excitations (such as footstep-induced vibration) because it is suitable for representing non-stationary signals [35,24,26,[32][33][34]37]. The main wavelet-based approaches for source localization either utilize: (1) the ridge [32,33,37,35] (i.e., peak amplitude in scaletime plane) which is difficult to robustly estimate in real floors with environmental noise or (2) highest energy scale components [26,24] which potentially have large noise (ambient vibration) because this scale might correspond to the fundamental frequency of the floor. Therefore, these approaches are not well-suited for source localization and result in large errors. ...
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