{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,7]],"date-time":"2026-01-07T08:11:40Z","timestamp":1767773500485,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2014,12,5]],"date-time":"2014-12-05T00:00:00Z","timestamp":1417737600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Accumulated signal noise will cause the integrated values to drift from the true value when measuring orientation angles of wearable sensors. This work proposes a novel method to reduce the effect of this drift to accurately measure human gait using wearable sensors. Firstly, an infinite impulse response (IIR) digital 4th order Butterworth filter was implemented to remove the noise from the raw gyro sensor data. Secondly, the mode value of the static state gyro sensor data was subtracted from the measured data to remove offset values. Thirdly, a robust double derivative and integration method was introduced to remove any remaining drift error from the data. Lastly, sensor attachment errors were minimized by establishing the gravitational acceleration vector from the acceleration data at standing upright and sitting posture. These improvements proposed allowed for removing the drift effect, and showed an average of 2.1\u00b0, 33.3\u00b0, 15.6\u00b0 difference for the hip knee and ankle joint flexion\/extension angle, when compared to without implementation. Kinematic and spatio-temporal gait parameters were also calculated from the heel-contact and toe-off timing of the foot. The data provided in this work showed potential of using wearable sensors in clinical evaluation of patients with gait-related diseases.<\/jats:p>","DOI":"10.3390\/s141223230","type":"journal-article","created":{"date-parts":[[2014,12,5]],"date-time":"2014-12-05T10:20:05Z","timestamp":1417774805000},"page":"23230-23247","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":72,"title":["Drift Removal for Improving the Accuracy of Gait Parameters Using Wearable Sensor Systems"],"prefix":"10.3390","volume":"14","author":[{"given":"Ryo","family":"Takeda","sequence":"first","affiliation":[{"name":"Division of Human Mechanical Systems and Design, Faculty of Engineering, Hokkaido University, Sapporo 060-8628, Japan"}]},{"given":"Giulia","family":"Lisco","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino 10129, Italy"}]},{"given":"Tadashi","family":"Fujisawa","sequence":"additional","affiliation":[{"name":"Division of Human Mechanical Systems and Design, Graduate School of Engineering,  Hokkaido University, Sapporo 060-8628, Japan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3921-3022","authenticated-orcid":false,"given":"Laura","family":"Gastaldi","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino 10129, Italy"}]},{"given":"Harukazu","family":"Tohyama","sequence":"additional","affiliation":[{"name":"Department of Health Science, Hokkaido University School of Medicine, Sapporo 060-0812, Japan"}]},{"given":"Shigeru","family":"Tadano","sequence":"additional","affiliation":[{"name":"Division of Human Mechanical Systems and Design, Faculty of Engineering, Hokkaido University, Sapporo 060-8628, Japan"}]}],"member":"1968","published-online":{"date-parts":[[2014,12,5]]},"reference":[{"key":"ref_1","unstructured":"Kirtley, C. (2006). Clinical Gait Analysis: Theory and Practice, Elsevier Churchill Livingstone."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1016\/0021-9290(73)90029-8","article-title":"Accelerometry\u2014A technique for the measurement of human body movements","volume":"6","author":"Morris","year":"1973","journal-title":"J. Biomech."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1109\/86.547939","article-title":"Detection of static and dynamic activities using uniaxial accelerometers","volume":"4","author":"Veltink","year":"1996","journal-title":"IEEE Trans. Rehabil. Eng."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1109\/10.554760","article-title":"A triaxial accelerometer and portable data processing unit for the assessment of daily physical activity","volume":"44","author":"Bouten","year":"1997","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1016\/S0747-5632(99)00037-0","article-title":"Detection of posture and motion by accelerometry: A validation study in ambulatory monitoring","volume":"15","author":"Foerster","year":"1999","journal-title":"Comput. Hum. Behav."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1097\/JSM.0b013e31824202d3","article-title":"A Biomechanical Approach to Paralympic Cross-Country Sit-Ski Racing","volume":"22","author":"Gastaldi","year":"2012","journal-title":"Clin. J. Sport Med."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S1350-4533(99)00030-2","article-title":"A practical gait analysis system using gyroscopes","volume":"21","author":"Tong","year":"1999","journal-title":"Med. Eng. Phys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1016\/j.jbiomech.2008.10.027","article-title":"Gait analysis using gravitational acceleration measured by wearable sensors","volume":"42","author":"Takeda","year":"2009","journal-title":"J. Biomech."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"978","DOI":"10.1016\/j.measurement.2009.02.002","article-title":"Development of a wearable sensor system for quantitative gait analysis","volume":"42","author":"Liu","year":"2009","journal-title":"Measurement"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1049\/el:20060124","article-title":"Quaternion-based fusion of gyroscopes and accelerometers to improve 3D angle measurement","volume":"42","author":"Favre","year":"2006","journal-title":"Electron. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1385","DOI":"10.1109\/TBME.2006.873678","article-title":"Estimation and visualization of sagittal kinematics of lower limbs orientation using body-fixed sensors","volume":"53","author":"Dejnabadi","year":"2006","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1029","DOI":"10.1016\/j.jbiomech.2007.12.003","article-title":"Ambulatory measurement of 3D knee joint angle","volume":"41","author":"Favre","year":"2008","journal-title":"J. Biomech."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2486","DOI":"10.1016\/j.jbiomech.2009.07.016","article-title":"Gait posture estimation using wearable acceleration and gyro sensors","volume":"42","author":"Takeda","year":"2009","journal-title":"J. Biomech."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"588","DOI":"10.1016\/j.gaitpost.2008.04.003","article-title":"Joint kinematics estimate using wearable inertial and magnetic sensing modules","volume":"28","author":"Picerno","year":"2008","journal-title":"Gait Posture"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1080\/10255840802326736","article-title":"The static accuracy and calibration of inertial measurement units for 3D orientation","volume":"11","author":"Brodie","year":"2008","journal-title":"Comput. Method. Biomech. Biomed. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"9321","DOI":"10.3390\/s130709321","article-title":"Three dimensional gait analysis using wearable acceleration and gyro sensors based on quaternion calculations","volume":"13","author":"Tadano","year":"2013","journal-title":"Sensors"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1016\/j.apmr.2004.02.010","article-title":"Assessing walking ability in subjects with spinal cord injury: Validity and reliability of 3 walking tests","volume":"86","author":"Wirz","year":"2005","journal-title":"Arch. Phys. Med. Rehabil."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1167","DOI":"10.1016\/j.apmr.2012.02.026","article-title":"Relations between 6 minute walking distance and 10 meter walking speed in patients with multiple sclerosis and stroke","volume":"93","author":"Dalgas","year":"2012","journal-title":"Arch. Phys. Med. Rehabil."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1519\/JPT.0b013e318248e20d","article-title":"Assessing the reliability and validity of a shorter walk test compared with the 10-Meter Walk Test for measurements of gait speed in healthy, older adults","volume":"36","author":"Peters","year":"2013","journal-title":"J. Geriatr. Phys. Ther."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Perry, J. (1992). Gait Analysis: Normal and Pathological Function, SLACK Incorporated.","DOI":"10.1097\/01241398-199211000-00023"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"502","DOI":"10.1016\/j.gaitpost.2005.12.017","article-title":"Gait event detection using linear accelerometers or angular velocity transducers in able-bodied and spinal-cord injured individuals","volume":"24","author":"Jasiewicz","year":"2006","journal-title":"Gait Posture"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1016\/S0736-0266(03)00184-0","article-title":"Pre-surgery knee joint loading patterns during walking predict the presence and severity of anterior knee pain after total knee arthroplasty","volume":"22","author":"Smith","year":"2004","journal-title":"J. Orthop. Res."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"605","DOI":"10.2106\/00004623-198365050-00004","article-title":"Quantitative gait analysis after total knee arthroplasty for monarticular degenerative arthritis","volume":"65","author":"Simon","year":"1983","journal-title":"J. Bone Joint Surg."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1080\/00016470510030661","article-title":"Changed gait pattern in patients with total knee arthroplasty but minimal influence of tibial insert design: Gait analysis during level walking in 39 TKR patients and 18 healthy controls","volume":"76","author":"Saari","year":"2005","journal-title":"Acta Orthop."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/BF02345966","article-title":"Measuring orientation of human body segments using miniature gyroscopes and accelerometers","volume":"43","author":"Luinge","year":"2005","journal-title":"Med. Biol. Eng. Comput."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/j.jbiomech.2005.11.011","article-title":"Ambulatory measurement of arm orientation","volume":"40","author":"Luinge","year":"2007","journal-title":"J. Biomech."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1016\/j.gaitpost.2011.08.024","article-title":"An optimized Kalman filter for the estimate of trunk orientation from inertial sensors data during treadmill walking","volume":"35","author":"Donati","year":"2012","journal-title":"Gait Posture"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/j.sna.2014.03.004","article-title":"Localization and velocity tracking of human via 3 IMU sensors","volume":"212","author":"Yuan","year":"2014","journal-title":"Sens. Actuators A Phys."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"370","DOI":"10.3390\/s140100370","article-title":"Integration of human walking gyroscopic data using empirical mode decomposition","volume":"14","author":"Bonnet","year":"2014","journal-title":"Sensors"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1016\/j.gaitpost.2012.07.032","article-title":"Estimation of spatio-temporal parameters for post-stroke hemiparetic gait using inertial sensors","volume":"37","author":"Yang","year":"2013","journal-title":"Gait Posture"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/14\/12\/23230\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:10:30Z","timestamp":1760217030000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/14\/12\/23230"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12,5]]},"references-count":30,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2014,12]]}},"alternative-id":["s141223230"],"URL":"https:\/\/doi.org\/10.3390\/s141223230","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2014,12,5]]}}}