{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,15]],"date-time":"2026-07-15T16:46:06Z","timestamp":1784133966193,"version":"3.55.0"},"reference-count":47,"publisher":"MDPI AG","issue":"24","license":[{"start":{"date-parts":[[2024,12,10]],"date-time":"2024-12-10T00:00:00Z","timestamp":1733788800000},"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>Vertical jump height from a countermovement jump is a widespread metric to assess the lower limb functionality. Motion capture systems and force platforms are considered gold standards to estimate vertical jump height; however, their use in ecological settings is limited. This study aimed to evaluate the feasibility of low-sampling-rate inertial measurement units as an alternative to the gold standard systems. The validity of three computational methods for IMU-based data\u2014numerical double integration, takeoff velocity, and flight time\u2014was assessed using data from 18 healthy participants who performed five double-leg and ten single-leg countermovement jumps. The data were simultaneously collected from a motion capture system, two force platforms, and an IMU positioned at the L5 level. The comparisons revealed that the numerical double integration method exhibited the highest correlation (0.87) and the lowest bias (2.5 cm) compared to the gold standards and excellent reliability (0.88). Although the takeoff velocity and flight time methods demonstrated comparable performances for double-leg jumps, their accuracy in single-leg jumps was reduced. Overall, the low-sampling-rate IMU with the numerical double integration method seems to be a reliable and feasible alternative for field-based countermovement jump assessment, warranting future investigation across diverse populations and jump modalities.<\/jats:p>","DOI":"10.3390\/s24247877","type":"journal-article","created":{"date-parts":[[2024,12,10]],"date-time":"2024-12-10T11:17:20Z","timestamp":1733829440000},"page":"7877","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Vertical Jump Height Estimation Using Low-Sampling IMU in Countermovement Jumps: A Feasible Alternative to Motion Capture and Force Platforms"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-0940-3885","authenticated-orcid":false,"given":"Giacomo","family":"Villa","sequence":"first","affiliation":[{"name":"Euleria srl Societ\u00e0 Benefit, Via delle Zigherane, 4\/A, 38068 Rovereto, Italy"},{"name":"Department of Electronics, Information and Bioengineering (DEIB), Politecnico di Milano, 20133 Milano, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alessandro","family":"Bonfiglio","sequence":"additional","affiliation":[{"name":"Euleria srl Societ\u00e0 Benefit, Via delle Zigherane, 4\/A, 38068 Rovereto, Italy"},{"name":"Department of Information Engineering and Computer Science (DISI), University of Trento, 38121 Trento, Italy"},{"name":"Energy Efficient Embedded Digital Architectures (E3DA), Fondazione Bruno Kessler, 38121 Trento, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2772-4837","authenticated-orcid":false,"given":"Manuela","family":"Galli","sequence":"additional","affiliation":[{"name":"Department of Electronics, Information and Bioengineering (DEIB), Politecnico di Milano, 20133 Milano, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6299-7254","authenticated-orcid":false,"given":"Veronica","family":"Cimolin","sequence":"additional","affiliation":[{"name":"Department of Electronics, Information and Bioengineering (DEIB), Politecnico di Milano, 20133 Milano, Italy"},{"name":"Istituto Auxologico Italiano, IRCCS, S. Giuseppe Hospital, Oggebbio, 28824 Piancavallo, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"87","DOI":"10.3233\/IES-2003-0106","article-title":"On the Assessment of Lower-Limb Muscular Power Capability","volume":"11","author":"Liebermann","year":"2003","journal-title":"Isokinet. Exerc. Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"217","DOI":"10.5114\/biolsport.2019.85455","article-title":"Can Sport-Specific Training Affect Vertical Jumping Ability during Puberty?","volume":"36","author":"Karatrantou","year":"2019","journal-title":"Biol. Sport"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1177\/1941738113479925","article-title":"Functional Performance Testing for Power and Return to Sports","volume":"5","author":"Manske","year":"2013","journal-title":"Sports Health"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Anicic, Z., Janicijevic, D., Knezevic, O.M., Garcia-Ramos, A., Petrovic, M.R., Cabarkapa, D., and Mirkov, D.M. (2023). Assessment of Countermovement Jump: What Should We Report?. Life, 13.","DOI":"10.3390\/life13010190"},{"key":"ref_5","first-page":"12","article-title":"Fatigue Monitoring in High Performance Sport: A Survey of Current Trends","volume":"20","author":"Taylor","year":"2012","journal-title":"J. Aust. Strength Cond."},{"key":"ref_6","first-page":"571","article-title":"Sensitivity of Physiological and Psychological Markers to Training Load Intensification in Volleyball Players","volume":"13","author":"Freitas","year":"2014","journal-title":"J. Sports Sci. Med."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1123\/ijspp.5.3.367","article-title":"Neuromuscular, Endocrine, and Perceptual Fatigue Responses During Different Length Between-Match Microcycles in Professional Rugby League Players","volume":"5","author":"McLean","year":"2010","journal-title":"Int. J. Sports Physiol. Perform."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1519\/JSC.0b013e3182514683","article-title":"Impact of Neuromuscular Fatigue on Match Exercise Intensity and Performance in Elite Australian Football","volume":"27","author":"Mooney","year":"2013","journal-title":"J. Strength Cond. Res."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1080\/02640410701352018","article-title":"Changes in Jump Performance and Muscle Activity Following Soccer-Specific Exercise","volume":"26","author":"Oliver","year":"2008","journal-title":"J. Sports Sci."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"60","DOI":"10.12691\/ajssm-2-2-1","article-title":"Age-Related Differences in Countermovement Vertical Jump in Soccer Players 8\u201331 Years Old: The Role of Fat-Free Mass","volume":"2","author":"Nikolaidis","year":"2014","journal-title":"Am. J. Sports Sci. Med."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"207","DOI":"10.5539\/jel.v8n2p207","article-title":"Relationship Between Jump Performance and Sport Ages in U16 Basketball Players","volume":"8","author":"Orhan","year":"2019","journal-title":"J. Educ. Learn."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"273","DOI":"10.5114\/biolsport.2017.67123","article-title":"Loaded and Unloaded Jump Performance of Top-Level Volleyball Players from Different Age Categories","volume":"34","author":"Kitamura","year":"2017","journal-title":"Biol. Sport"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"McMahon, J.J., Rej, S.J.E., and Comfort, P. (2017). Sex Differences in Countermovement Jump Phase Characteristics. Sports, 5.","DOI":"10.3390\/sports5010008"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"23259671231185586","DOI":"10.1177\/23259671231185586","article-title":"Predicting the Risk of Injuries Through Assessments of Asymmetric Lower Limb Functional Performance: A Prospective Study of 415 Youth Taekwondo Athletes","volume":"11","author":"Guan","year":"2023","journal-title":"Orthop. J. Sports Med."},{"key":"ref_15","first-page":"131","article-title":"Countermovement Jump Performance in Elite Male and Female Sprinters and High Jumpers","volume":"235","author":"Philpott","year":"2021","journal-title":"Proc. Inst. Mech. Eng. Part P J. Sports Eng. Technol."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1055","DOI":"10.1007\/s40279-023-01828-x","article-title":"A Systematic Review of the Different Calculation Methods for Measuring Jump Height During the Countermovement and Drop Jump Tests","volume":"53","author":"Xu","year":"2023","journal-title":"Sports Med."},{"key":"ref_17","first-page":"1296","article-title":"Validity of Two Alternative Systems for Measuring Vertical Jump Height","volume":"21","author":"Leard","year":"2007","journal-title":"J. Strength Cond. Res."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4172\/2329-9096.1000369","article-title":"Motion Capture System versus Common Force Platform Methodologies for Vertical Jump Analysis","volume":"4","author":"Eagles","year":"2016","journal-title":"Int. J. Phys. Med. Rehabil."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Montalvo, S., Gonzalez, M., Dietze-Hermosa, M., Eggleston, J., and Dorgo, S. (2021). Common Vertical Jump and Reactive Strength Index Measuring Devices: A Validity and Reliability Analysis. J. Strength Cond. Res., Ahead of Print.","DOI":"10.1519\/JSC.0000000000003988"},{"key":"ref_20","first-page":"8","article-title":"Validation of an Inertial Measurement Unit to Determine Countermovement Jump Height","volume":"16","author":"Mechlenburg","year":"2019","journal-title":"Asia-Pac. J. Sports Med. Arthrosc. Rehabil. Technol."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1080\/02640414.2011.624539","article-title":"Validity of Vertical Jump Measurement Devices","volume":"30","author":"Buckthorpe","year":"2012","journal-title":"J. Sports Sci."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Markovi\u0107, S., Dopsaj, M., Toma\u017ei\u010d, S., Kos, A., Nedeljkovi\u0107, A., and Umek, A. (2021). Can IMU Provide an Accurate Vertical Jump Height Estimate?. Appl. Sci., 11.","DOI":"10.3390\/app112412025"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1007\/978-3-031-71710-9_3","article-title":"Validation of a MediaPipe System for Markerless Motion Analysis During Virtual Reality Rehabilitation","volume":"Volume 15029","author":"Arpaia","year":"2024","journal-title":"Extended Reality"},{"key":"ref_24","first-page":"1","article-title":"Potential of IMU-Based Systems in Measuring Single Rapid Movement Variables in Females with Different Training Backgrounds and Specialization","volume":"2020","author":"Dopsaj","year":"2020","journal-title":"Appl. Bionics Biomech."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.5114\/hm.2023.111548","article-title":"Validity and Reliability of Inertial Measurement Units (IMUs) for Jump Height Estimations: A Systematic Review","volume":"23","author":"Clemente","year":"2021","journal-title":"Hum. Mov."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Palmieri, M., Donno, L., Cimolin, V., and Galli, M. (2023). Cervical Range of Motion Assessment through Inertial Technology: A Validity and Reliability Study. Sensors, 23.","DOI":"10.3390\/s23136013"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Taborri, J., Keogh, J., Kos, A., Santuz, A., Umek, A., Urbanczyk, C., Van Der Kruk, E., and Rossi, S. (2020). Sport Biomechanics Applications Using Inertial, Force, and EMG Sensors: A Literature Overview. Appl. Bionics Biomech., 2020.","DOI":"10.1155\/2020\/2041549"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Camomilla, V., Bergamini, E., Fantozzi, S., and Vannozzi, G. (2018). Trends Supporting the In-Field Use of Wearable Inertial Sensors for Sport Performance Evaluation: A Systematic Review. Sensors, 18.","DOI":"10.3390\/s18030873"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"36","DOI":"10.7575\/aiac.ijkss.v.10n.1p.36","article-title":"Benefits of IMU-Based Wearables in Sports Medicine: Narrative Review","volume":"10","author":"Arlotti","year":"2022","journal-title":"IJKSS"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Gu, C., Lin, W., He, X., Zhang, L., and Zhang, M. (2023). IMU-Based Motion Capture System for Rehabilitation Applications: A Systematic Review. Biomim. Intell. Robot., 3.","DOI":"10.1016\/j.birob.2023.100097"},{"key":"ref_31","unstructured":"Duffy, V.G. (2015). Balancing Power Consumption and Data Analysis Accuracy Through Adjusting Sampling Rates: Seeking for the Optimal Configuration of Inertial Sensors for Power Wheelchair Users, Springer International Publishing."},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Rago, V., Brito, J., Figueiredo, P., Carvalho, T., Fernandes, T., Fonseca, P., and Rebelo, A. (2018). Countermovement Jump Analysis Using Different Portable Devices: Implications for Field Testing. Sports, 6.","DOI":"10.3390\/sports6030091"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Camuncoli, F., Barni, L., Nutarelli, S., Rocchi, J.E., Barcillesi, M., Di Dio, I., Sambruni, A., and Galli, M. (2022). Validity of the Baiobit Inertial Measurements Unit for the Assessment of Vertical Double- and Single-Leg Countermovement Jumps in Athletes. IJERPH, 19.","DOI":"10.3390\/ijerph192214720"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1111\/sms.13556","article-title":"Comparisons of Laboratory-Based Methods to Calculate Jump Height and Improvements to the Field-Based Flight-Time Method","volume":"30","author":"Wade","year":"2020","journal-title":"Scand. J. Med. Sci. Sports"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1007\/s12662-019-00581-6","article-title":"On the Estimation of Centre of Gravity Height in Vertical Jumping","volume":"49","author":"Wank","year":"2019","journal-title":"Ger. J. Exerc. Sport Res."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Concei\u00e7\u00e3o, F., Lewis, M., Lopes, H., and Fonseca, E.M.M. (2022). An Evaluation of the Accuracy and Precision of Jump Height Measurements Using Different Technologies and Analytical Methods. Appl. Sci., 12.","DOI":"10.3390\/app12010511"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/BF00422166","article-title":"A Simple Method for Measurement of Mechanical Power in Jumping","volume":"50","author":"Bosco","year":"1983","journal-title":"Europ. J. Appl. Physiol."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Guess, T.M., Gray, A.D., Willis, B.W., Guess, M.M., Sherman, S.L., Chapman, D.W., and Mann, J.B. (2020). Force-Time Waveform Shape Reveals Countermovement Jump Strategies of Collegiate Athletes. Sports, 8.","DOI":"10.3390\/sports8120159"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1080\/02640414.2010.523089","article-title":"Countermovement Jump Performance Assessment Using a Wearable 3D Inertial Measurement Unit","volume":"29","author":"Picerno","year":"2011","journal-title":"J. Sports Sci."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"67","DOI":"10.4103\/aca.ACA_157_18","article-title":"Descriptive Statistics and Normality Tests for Statistical Data","volume":"22","author":"Mishra","year":"2019","journal-title":"Ann. Card. Anaesth."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/j.tjem.2018.08.001","article-title":"User\u2019s Guide to Correlation Coefficients","volume":"18","author":"Akoglu","year":"2018","journal-title":"Turk. J. Emerg. Med."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/S0140-6736(86)90837-8","article-title":"Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement","volume":"1","author":"Bland","year":"1986","journal-title":"Lancet"},{"key":"ref_43","first-page":"19","article-title":"The Need to Report Effect Size Estimates Revisited. An Overview of Some Recommended Measures of Effect Size","volume":"1","author":"Tomczak","year":"2014","journal-title":"Trends Sport Sci."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.jcm.2016.02.012","article-title":"A Guideline of Selecting and Reporting Intraclass Correlation Coefficients for Reliability Research","volume":"15","author":"Koo","year":"2016","journal-title":"J. Chiropr. Med."},{"key":"ref_45","first-page":"342","article-title":"Reliability of Ground Reaction Forces During a Vertical Jump: Implications for Functional Strength Assessment","volume":"31","author":"Cordova","year":"1996","journal-title":"J. Athl. Train."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1037\/0033-2909.86.2.420","article-title":"Intraclass Correlations: Uses in Assessing Rater Reliability","volume":"86","author":"Shrout","year":"1979","journal-title":"Psychol. Bull."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"N21","DOI":"10.1088\/0967-3334\/29\/4\/N01","article-title":"Study of the Motion Artefacts of Skin-Mounted Inertial Sensors under Different Attachment Conditions","volume":"29","author":"Moreno","year":"2008","journal-title":"Physiol. Meas."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/24\/7877\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T16:51:11Z","timestamp":1760115071000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/24\/7877"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,10]]},"references-count":47,"journal-issue":{"issue":"24","published-online":{"date-parts":[[2024,12]]}},"alternative-id":["s24247877"],"URL":"https:\/\/doi.org\/10.3390\/s24247877","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,12,10]]}}}