The performance of vehicle safety systems depends very much on the accuracy of the signals coming from vehicle sensors. Among them, the wheel speed is of vital importance. This paper describes a new method to obtain the wheel speed by using Sin-Cos encoders. The methodology is based on the use of the Savitzky–Golay filters to optimally determine the coefficients of the polynomials that best fit the measured signals and their time derivatives. The whole process requires a low computational cost, which makes it suitable for real-time applications. This way it is possible to provide the safety system with an accurate measurement of both the angular speed and acceleration of the wheels. The proposed method has been compared to other conventional approaches. The results obtained in simulations and real tests show the superior performance of the proposed method, particularly for medium and low wheel angular speeds.

中文翻译：

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Sin-Cos编码器确定角速度和加速度的新方法

车辆安全系统的性能在很大程度上取决于来自车辆传感器的信号的准确性。其中，车轮速度至关重要。本文介绍了一种使用Sin-Cos编码器获取轮速的新方法。该方法基于使用Savitzky-Golay滤波器来最佳地确定最适合所测信号及其时间导数的多项式系数。整个过程需要较低的计算成本，因此适合实时应用。这样，可以为安全系统提供车轮角速度和加速度的精确测量。所提出的方法已经与其他常规方法进行了比较。