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Analysis of the tennis racket vibrations during forehand drives: Selection of the mother wavelet
Institution:1. Univ Lyon, University Claude Bernard Lyon 1, EA 7424 - Inter-university Laboratory of Human Movement Science, Lyon, France;2. Univ Lyon, University Claude Bernard Lyon 1, Institut National des Sciences Appliquées, France;1. Department of Sports Medicine and Health Promotion, Friedrich-Schiller University Jena, Wöllnitzer Straße 42, D-07749 Jena, Germany;2. Center of Interdisciplinary Prevention of Diseases related to Professional Activities, Friedrich-Schiller University Jena, D-07737 Jena, Germany;3. Department of Sports and Motion Science, University Stuttgart, Allmandring 28, D-70569 Stuttgart, Germany;4. Department of Sports Management, University Bayreuth, Universitätsstraße 30, D-95440 Bayreuth, Germany;1. Department of Oral Cell Biology and Functional Anatomy, Academic Center for Dentistry Amsterdam (ACTA), University of Amsterdam and VU University Amsterdam, Amsterdam, The Netherlands;2. MOVE Research Institute Amsterdam, University of Amsterdam and VU University Amsterdam, Amsterdam, The Netherlands;3. Biomechanics Section, Department of Mechanical Engineering, KU Leuven, Leuven, Belgium;4. Department of Oral Kinesiology, Academic Centre for Dentistry Amsterdam (ACTA), University of Amsterdam and VU University Amsterdam, Amsterdam, The Netherlands;1. Biomedical Engineering, University of Strathclyde, UK;2. Institute for Applied Health Research, Glasgow Caledonian University, UK;3. School of Health Sciences, University of Salford, UK;4. Stroke MCN, NHS Lanarkshire, UK
Abstract:The time–frequency analysis of the tennis racket and hand vibrations is of great interest for discomfort and pathology prevention. This study aimed to (i) to assess the stationarity of the vibratory signal of the racket and hand and (ii) to identify the best mother wavelet to perform future time–frequency analysis, (iii) to determine if the stroke spin, racket characteristics and impact zone can influence the selection of the best mother wavelet. A total of 2364 topspin and flat forehand drives were performed by fourteen male competitive tennis players with six different rackets. One tri-axial and one mono-axial accelerometer were taped on the racket throat and dominant hand respectively. The signal stationarity was tested through the wavelet spectrum test. Eighty-nine mother wavelet were tested to select the best mother wavelet based on continuous and discrete transforms. On average only 25 ± 17%, 2 ± 5%, 5 ± 7% and 27 ± 27% of the signal tested respected the hypothesis of stationarity for the three axes of the racket and the hand respectively. Regarding the two methods for the detection of the best mother wavelet, the Daubechy 45 wavelet presented the highest average ranking. No effect of the stroke spin, racket characteristics and impact zone was observed for the selection of the best mother wavelet. It was concluded that alternative approach to Fast Fourier Transform should be used to interpret tennis vibration signals. In the case where wavelet transform is chosen, the Daubechy 45 mother wavelet appeared to be the most suitable.
Keywords:Time–frequency  Debauchies  Stationarity  Signal processing
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