The variation of frequency is a significant indicator of the operation status of rotating machinery. Generally, the frequency is extracted and tracked in real-time based on the vibration signal produced by the rotating machinery. However, various interferences generated from contact sampling and transmitting result in difficulty in obtaining the frequency correctly in real-time from the vibration. To solve this problem, this paper presents an interpolated Kalman filter (IKF) based on the vibration and surface noise signals for real-time frequency tracking. First, the cross-correlation operation is performed on the vibration and surface noise signals sampled synchronously to enhance the energy concentration. After that, a frequency search procedure is carried out to calculate the input of the tracking task. Finally, an IKF-based frequency lock procedure is applied to eliminate the interferences and track the frequency in real time. Besides, a correction procedure is added to prevent the measurement process from tracking the frequency incorrectly. The performance of the proposed method is verified by the experiments based on an ARM-based test bench using standard signals and actual test signals.

中文翻译：

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基于振动和表面噪声的插值卡尔曼滤波器的实时频率跟踪方法

频率的变化是旋转机械运行状态的重要指标。通常，频率是根据旋转机械产生的振动信号实时提取和跟踪的。然而，接触式采样和传输产生的各种干扰导致难以实时正确地从振动中获取频率。为了解决这个问题，本文提出了一种基于振动和表面噪声信号的插值卡尔曼滤波器（IKF），用于实时频率跟踪。首先，对同步采样的振动信号和表面噪声信号进行互相关运算，增强能量集中度。之后，执行频率搜索过程以计算跟踪任务的输入。最后，应用基于IKF的锁频程序来消除干扰并实时跟踪频率。此外，还添加了校正程序，以防止测量过程错误地跟踪频率。通过基于ARM的测试平台使用标准信号和实际测试信号的实验验证了所提方法的性能。