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Application of robust principal component analysis for time domain source separation.

Mitchell J Swann1, Adam S Nickels1, Michael H Krane1

  • 1The Pennsylvania State University, State College, Pennsylvania 16804, USA.

The Journal of the Acoustical Society of America
|October 29, 2025
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Summary

Robust Principal Component Analysis (RPCA) effectively separates non-stationary, impulsive sound sources in microphone array data. This time-domain approach improves aeroacoustic V/E interaction analysis and parameter estimation.

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Area of Science:

  • Acoustics
  • Signal Processing
  • Fluid Dynamics

Background:

  • Aeroacoustic emissions from vortex ring and edge (V/E) interactions generate complex sound fields.
  • Non-stationary and impulsive sound features, like spherical pressure waves, challenge traditional frequency-domain source separation.
  • Accurate analysis of V/E interactions requires robust methods to isolate distinct acoustic sources.

Purpose of the Study:

  • To present a time-domain source separation method for microphone array signals.
  • To apply Robust Principal Component Analysis (RPCA) to separate aeroacoustic sources from V/E interactions.
  • To demonstrate RPCA's superiority over other methods for impulsive and non-stationary signals.

Main Methods:

  • Application of Robust Principal Component Analysis (RPCA) in the time domain.
  • Utilizing microphone array data from a V/E interaction experiment.
  • Comparison of RPCA with Principal Component Analysis (PCA) and other time-domain techniques.

Main Results:

  • RPCA successfully separated the impulsive pressure wave from the V/E interaction noise.
  • Accurate estimation of V/E source parameters was achieved, aligning well with theoretical predictions.
  • RPCA demonstrated superior performance compared to PCA, offering a data-driven approach with less user intervention.

Conclusions:

  • Time-domain RPCA is a powerful tool for separating non-stationary, impulsive sources in aeroacoustic measurements.
  • RPCA enables improved waveform time series analysis by including impulsive features, unlike prior windowing methods.
  • The method provides a more accurate and less intervention-dependent approach for V/E source parameter estimation.