An Automatic Real-time Cable Modal Frequency Identification and Tracking Algorithm by Combining Recursive Band-pass Filter and Recursive Hilbert Transform

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Cables are essential elements in bridge engineering. The cable force is usually determined by the vibration method using the cable frequency. This paper proposes a real-time online identification method of cable modal frequency based on bandpass filter and Hilbert transform. A recursive form of band-pass filtering (RBF) is employed so that the original signal can be filtered for the target frequency band to obtain a single modal signal of the target order of the cable. The Recursive Hilbert transform (RHT) is then used to obtain a real-time resolved signal for real-time frequency identification, allowing for real-time identification and tracking of the time-varying modal frequencies at the cable's target order. This method is more efficient than traditional time-frequency analysis methods. According to numerical simulations and actual measurement data. The method is noise-resistant and does not necessitate prior knowledge of the order. The method allows online identification and tracking of time-varying frequency of interest at a specific order. The procedure can be applied to the real-time identification of cable incident frequencies in an online monitoring system, and can also provide a basis for further real-time identification of time-varying cable forces.