The random slope modulation: A new cyclostationarity model applied to biomechanical signals

This paper provides a new model useful for studying and characterizing cyclostationarity. It presents the impact of random slope variation on the cyclic spectrum of the signal. We call such model the random slope modulation (RSM). We apply this model for studying biomechanical signals where we consider the slope as a specific measure extracted from the vertical ground reaction forces. The slope is random and different for every peak. This randomness introduces a cyclostationarity of order 2. We obtain a signal with random phenomenon (i.e., the slope that vary randomly) but repeated periodically. For such signals, the origin of cyclostationarity might come from the random variation of the slope. The results show that the slope can play an important role and provide interesting information concerning Fatigue and concerning running / walking performance.