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January 18, 2026Mathematics0 citationsOpen Access

Robust Disturbance-Response Feature Modeling and Multi-Perspective Validation of Compensation Capacitor Signals

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TWTongdian WangPWPan Wang

Key Points

  • The study aims to enhance the reliability of compensation capacitors in rail signal systems by developing a framework for robust signal feature extraction.
  • Developed the Disturbance-Robust Feature Distillation (DRFD) framework.
  • Formulated a unified multi-objective optimization model considering various performance metrics.
  • Applied the framework on real-world datasets collected at 100 kHz from varied environments like roadbed and tunnels.
  • Utilized an adaptive Bayesian weighting mechanism for feature identification.
  • Achieved 96.2% accuracy and 95.4% F1-score in signal analysis.
  • Outperformed baseline methods by 4.2–7.8% in accuracy and 6.5% in F1-score.
  • Demonstrated low cross-condition relative variance (RV < 0.015), indicating high robustness against disturbances.

Abstract

In high-speed railways, the reliability of jointless track circuits largely hinges on the operational integrity of compensation capacitors. These capacitors are periodically installed along the track to mitigate rail inductive impedance and stabilize signal transmission. The induced voltage response, referred to as the compensation-capacitor signal, serves as a critical diagnostic indicator of circuit health. Yet it is often distorted by electromagnetic interference and structural resonance, posing significant challenges for robust feature extraction. To address this challenge, we propose a Disturbance-Robust Feature Distillation (DRFD) framework that performs multi-perspective modeling and validation of robust features. The framework formulates a unified multi-objective optimization model that jointly considers statistical significance, environmental stability, and structural separability. These objectives are harmonized through an adaptive Bayesian weighting mechanism, enabling automatic identification of disturbance-resistant and discriminative features under complex operating conditions. Experimental evaluations on real-world datasets collected at a 100 kHz sampling rate from roadbed, tunnel, and bridge environments demonstrate that the DRFD framework achieves 96.2% accuracy and 95.4% F1-score, outperforming the best-performing baseline by 4.2–7.8% in accuracy and 6.5% in F1-score. Moreover, the framework achieves the lowest cross-condition relative variance (RV < 0.015), confirming its high robustness against electromagnetic and structural disturbances. The extracted core features—Root Mean Square (RMS), Peak Factor (PF), and Center Frequency (CF)—faithfully capture the intrinsic electromagnetic behaviors of compensation capacitors, thus linking statistical robustness with physical interpretability for enhanced reliability assessment of railway signal systems.

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Cite This Study

Wang et al. (2026) studied this question.

synapsesocial.com/papers/696c77d4eb60fb80d13960a1https://doi.org/10.3390/math14020316
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