The performance of fault diagnosis and failure prognosis methods is directly related to the quality of sensor measurements. When the systems evolve under extreme conditions of use as in the aeronautical field, the sensors measure are often impacted by strong noise and disturbances. This paper deals with the using of an automatic Savitzky-Golay filter to smooth the sensors data for time series model training and remaining useful life estimation. A proposed window value calculation for the Savitzky-Golay filter is used to improve signal quality. The NARX neuronal network is used as a datadriven approach to model the trend of the smoothed time series data. The proposed approach is successfully applied for degradation-trend modeling and remaining useful life prediction in turbo engines. These systems are considered as a high noise device which mean more challenge in data processing. The results show an improvement in the prediction of the remaining useful life compared to previous works.