Topological Analysis and Perception of Physical Vibration in Distributed Optical Fiber Vibration Sensing
摘要
Distributed optical fiber vibration sensing (DOFS) monitors environmental vibrations by demodulating phase disturbances. Accurate detection of high-order vibration frequencies is essential for inferring complex physical events. To enhance the characterization of high-frequency modes in current systems, a feature extraction framework based on differential-manifold topology is proposed. First, the input signal is mapped into a high-dimensional phase-space trajectory via differential time-delay embedding, which nonlinearly reconstructs the dynamics and reveals latent high-order characteristics. Next, a simplicial structure is constructed using the Vietoris–Rips complex, and persistent homology is applied to quantify the robustness of topological features, yielding a topology-invariant persistence diagram. Finally, the Persistent Spectral Enhancement algorithm employs a convolutional network to optimize the discriminative representation of these topological features.