{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,23]],"date-time":"2026-07-23T01:14:15Z","timestamp":1784769255545,"version":"3.55.0"},"reference-count":27,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2024,11,29]],"date-time":"2024-11-29T00:00:00Z","timestamp":1732838400000},"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>Background: Accurate linear sprint modelling is essential for evaluating athletes\u2019 performance, particularly in terms of force, power, and velocity capabilities. Radar sensors have emerged as a critical tool in capturing precise velocity data, which is fundamental for generating reliable force-velocity (FV) profiles. This study focuses on the fitting of radar sensor data to various sprint modelling techniques to enhance the accuracy of these profiles. Forty-seven university-level athletes (M = 23, F = 24; 1.75 \u00b1 0.1 m; 79.55 \u00b1 12.64 kg) participated in two 40 m sprint trials, with radar sensors collecting detailed velocity measurements. This study evaluated five different modelling approaches, including three established methods, a third-degree polynomial, and a sigmoid function, assessing their goodness-of-fit through the root mean square error (RMSE) and coefficient of determination (r2). Additionally, FV metrics (Pmax, F0, V0, FVslope, and DRF) were calculated and compared using ANOVA. Results: Significant differences (p &lt; 0.001) were identified across the models in terms of goodness-of-fit and most FV metrics, with the sigmoid and polynomial functions demonstrating superior fit to the radar-collected velocity data. Conclusions: The results suggest that radar sensors, combined with appropriate modelling techniques, can significantly improve the accuracy of sprint performance analysis, offering valuable insights for both researchers and coaches. Care should be taken when comparing results across studies employing different modelling approaches, as variations in model fitting can impact the derived metrics.<\/jats:p>","DOI":"10.3390\/s24237632","type":"journal-article","created":{"date-parts":[[2024,12,3]],"date-time":"2024-12-03T11:48:56Z","timestamp":1733226536000},"page":"7632","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Radar Sensor Data Fitting for Accurate Linear Sprint Modelling"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4955-7347","authenticated-orcid":false,"given":"Daniel","family":"Geneau","sequence":"first","affiliation":[{"name":"Canadian Sport Institute Pacific, Victoria, BC V9E 2C5, Canada"},{"name":"School of Exercise Science, Physical and Health Education, University of Victoria, Victoria, BC V8P 5C2, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6944-0467","authenticated-orcid":false,"given":"Patrick","family":"Cormier","sequence":"additional","affiliation":[{"name":"Canadian Sport Institute Pacific, Victoria, BC V9E 2C5, Canada"},{"name":"School of Exercise Science, Physical and Health Education, University of Victoria, Victoria, BC V8P 5C2, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3338-3306","authenticated-orcid":false,"given":"Ming-Chang","family":"Tsai","sequence":"additional","affiliation":[{"name":"Canadian Sport Institute Pacific, Victoria, BC V9E 2C5, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dana","family":"Agar-Newman","sequence":"additional","affiliation":[{"name":"Canadian Sport Institute Pacific, Victoria, BC V9E 2C5, Canada"},{"name":"School of Exercise Science, Physical and Health Education, University of Victoria, Victoria, BC V8P 5C2, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Seth","family":"Lenetsky","sequence":"additional","affiliation":[{"name":"Canadian Sport Institute Pacific, Victoria, BC V9E 2C5, Canada"},{"name":"Sport Performance Research Institute New Zealand, Auckland University of Technology, Auckland 1010, New Zealand"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5512-0558","authenticated-orcid":false,"given":"Marc","family":"Klimstra","sequence":"additional","affiliation":[{"name":"Canadian Sport Institute Pacific, Victoria, BC V9E 2C5, Canada"},{"name":"School of Exercise Science, Physical and Health Education, University of Victoria, Victoria, BC V8P 5C2, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"648","DOI":"10.1111\/sms.12490","article-title":"A simple method for measuring power, force, velocity properties, and mechanical effectiveness in sprint running","volume":"26","author":"Samozino","year":"2016","journal-title":"Scand. J. Med. Sci. Sports"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"268","DOI":"10.1519\/JSC.0000000000004161","article-title":"Reliability and Minimal Detectable Change of Sprint Times and Force-Velocity-Power Characteristics","volume":"36","author":"Edwards","year":"2022","journal-title":"J. Strength Cond. Res."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1123\/ijspp.2018-0578","article-title":"Assessing Horizontal Force Production in Resisted Sprinting: Computation and Practical Interpretation of Horizontal Force","volume":"14","author":"Cross","year":"2019","journal-title":"Int. J. Sports Physiol. Perform."},{"key":"ref_4","first-page":"29","article-title":"The Dynamics of \u201cSprint\u201d Running","volume":"102","author":"Furusawa","year":"1927","journal-title":"Proc. R. Soc. Lond. Ser. B Contain. Pap. A Biol. Character"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1249\/00005768-197901140-00004","article-title":"Analysis of the velocity curve in sprint running","volume":"11","author":"Volkov","year":"1979","journal-title":"Med. Sci. Sports Exerc."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"755","DOI":"10.1055\/s-0033-1363252","article-title":"Association of acceleration with spatiotemporal variables in maximal sprinting","volume":"35","author":"Nagahara","year":"2014","journal-title":"Int. J. Sports Med."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1123\/ijspp.2015-0638","article-title":"Interpreting power-force-velocity profiles for individualized and specific training","volume":"11","author":"Morin","year":"2016","journal-title":"Int. J. Sports Physiol. Perform."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1080\/17461391.2020.1751304","article-title":"Mechanical determinants of forward skating sprint inferred from off- and on-ice force-velocity evaluations in elite female ice hockey players","volume":"21","author":"Perez","year":"2021","journal-title":"Eur. J. Sport Sci."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3921","DOI":"10.1007\/s00421-012-2379-8","article-title":"Mechanical determinants of 100-m sprint running performance","volume":"112","author":"Morin","year":"2012","journal-title":"Eur. J. Appl. Physiol."},{"key":"ref_10","first-page":"218","article-title":"The equation of motion of a runner, exerting a maximal effort","volume":"103","author":"Best","year":"1928","journal-title":"Proc. R. Soc. Lond. Ser. B Contain. Pap. A Biol. Character"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1255","DOI":"10.1007\/s40279-016-0653-3","article-title":"Methods of Power-Force-Velocity Profiling During Sprint Running: A Narrative Review","volume":"47","author":"Cross","year":"2017","journal-title":"Sport. Med."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/j.jbiomech.2019.07.020","article-title":"A simple method for computing sprint acceleration kinetics from running velocity data: Replication study with improved design","volume":"94","author":"Morin","year":"2019","journal-title":"J. Biomech."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1007\/s00421-019-04139-0","article-title":"Sprint running: From fundamental mechanics to practice\u2014A review","volume":"119","author":"Haugen","year":"2019","journal-title":"Eur. J. Appl. Physiol."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1519\/JSC.0000000000004223","article-title":"Comparison of Sprint Timing Methods on Performance, and Displacement and Velocity at Timing Initiation","volume":"37","author":"Weakley","year":"2023","journal-title":"J. Strength Cond. Res."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1111\/sms.12627","article-title":"How 100-m event analyses improve our understanding of world-class men\u2019s and women\u2019s sprint performance","volume":"27","author":"Slawinski","year":"2017","journal-title":"Scand. J. Med. Sci. Sports"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Magu, G., Lucaciu, R., and Isar, A. (2021). Improving the targets\u2019 trajectories estimated by an automotive radar sensor using polynomial fitting. Appl. Sci., 11.","DOI":"10.3390\/app11010361"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1080\/02640414.2016.1164331","article-title":"Model for assessment of the velocity and force at the start of sprint race","volume":"35","author":"Kapor","year":"2017","journal-title":"J. Sports Sci."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1016\/j.kjs.2023.02.024","article-title":"What information on mechanical parameters can a polynomial model tell about the 100 m sprint","volume":"50","author":"Doder","year":"2023","journal-title":"Kuwait J. Sci."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"712","DOI":"10.1016\/j.jbiomech.2015.01.009","article-title":"Modelling suppressed muscle activation by means of an exponential sigmoid function: Validation and bounds","volume":"48","author":"Voukelatos","year":"2015","journal-title":"J. Biomech."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1015","DOI":"10.1243\/09544062JMES2485","article-title":"Non-linear rolling friction of a tyre-caster system: Analysis of a rugby wheelchair","volume":"225","author":"Chua","year":"2011","journal-title":"Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2809","DOI":"10.1242\/jeb.01700","article-title":"Sprint running: A new energetic approach","volume":"208","author":"Fusi","year":"2005","journal-title":"J. Exp. Biol."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1088\/0967-3334\/35\/1\/45","article-title":"A novel technique for muscle onset detection using surface EMG signals without removal of ECG artifacts","volume":"35","author":"Zhou","year":"2014","journal-title":"Physiol. Meas."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Vescovi, J.D., and Jovanovi\u0107, M. (2021). Sprint Mechanical Characteristics of Female Soccer Players: A Retrospective Pilot Study to Examine a Novel Approach for Correction of Timing Gate Starts. Front. Sport. Act. Living, 3.","DOI":"10.3389\/fspor.2021.629694"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1327","DOI":"10.1080\/17461391.2018.1490459","article-title":"Differences in step characteristics and linear kinematics between rugby players and sprinters during initial sprint acceleration","volume":"18","author":"Wild","year":"2018","journal-title":"Eur. J. Sport Sci."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Ettema, G., McGhie, D., Danielsen, J., Sandbakk, \u00d8., and Haugen, T. (2016). On the existence of step-to-step breakpoint transitions in accelerated sprinting. PLoS ONE, 11.","DOI":"10.1371\/journal.pone.0159701"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1519\/JSC.0000000000001561","article-title":"The Physical and Athletic Performance Characteristics of Division I Collegiate Female Soccer Players by Position","volume":"32","author":"Lockie","year":"2018","journal-title":"J. Strength Cond. Res."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Brassart, F., Faupin, A., Hays, A., Watelain, E., and Weissland, T. (2023). Relationship of Force\u2013Velocity Profile between Field Sprints and Lab Ballistic or Cycling Ergometer for Wheelchair Basketball Players. Appl. Sci., 13.","DOI":"10.20944\/preprints202305.1491.v1"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/23\/7632\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T16:42:25Z","timestamp":1760114545000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/23\/7632"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,29]]},"references-count":27,"journal-issue":{"issue":"23","published-online":{"date-parts":[[2024,12]]}},"alternative-id":["s24237632"],"URL":"https:\/\/doi.org\/10.3390\/s24237632","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11,29]]}}}