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Updated: Oct 18, 2025

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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Fault Feature Extraction for Reciprocating Compressors Based on Underdetermined Blind Source Separation.

Jindong Wang1,2, Xin Chen1, Haiyang Zhao1,2

  • 1Mechanical Science and Engineering Institute, Northeast Petroleum University, Daqing 163318, China.

Entropy (Basel, Switzerland)
|September 28, 2021
PubMed
Summary

This study introduces a robust two-stage clustering method for underdetermined blind source separation (UBSS). It enhances mixing matrix estimation by mitigating outlier effects and improving K-means accuracy for vibration signal analysis.

Keywords:
K-meansfeature extractionmixing matrix estimationreciprocating compressorunderdetermined blind source separation

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Area of Science:

  • Engineering
  • Signal Processing
  • Data Science

Background:

  • Vibration signals in engineering often contain outliers, degrading source signal separation accuracy.
  • Accurate mixing matrix estimation is vital for reliable underdetermined blind source separation (UBSS).
  • The K-means algorithm is sensitive to initial cluster centers and outliers, impacting separation performance.

Purpose of the Study:

  • To propose a novel two-stage clustering method combining hierarchical clustering and K-means.
  • To enhance the reliability of mixing matrix estimation in UBSS.
  • To improve the accuracy of source signal recovery from noisy vibration data.

Main Methods:

  • A two-stage clustering approach integrating hierarchical clustering and K-means is developed.
  • Hierarchical clustering identifies initial cluster centers, followed by outlier removal using cosine distance.
  • Improved K-means estimates the mixing matrix, and source recovery is performed using the least squares method.

Main Results:

  • The proposed method effectively addresses K-means sensitivity to initial centers and outliers.
  • Outlier elimination improves the reliability of the estimated mixing matrix.
  • Both simulations and reciprocating compressor fault experiments validate the method's effectiveness.

Conclusions:

  • The developed two-stage clustering method offers a robust solution for UBSS in the presence of signal outliers.
  • This approach significantly enhances mixing matrix estimation accuracy.
  • The method demonstrates practical applicability in engineering, particularly for fault diagnosis using vibration signals.