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Phase coherence-A time-localized approach to studying interactions.

S J K Barnes1, J Bjerkan1, P T Clemson1

  • 1Physics Department, Lancaster University, Lancaster LA1 4YB, United Kingdom.

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Summary
This summary is machine-generated.

Phase coherence is more robust than amplitude-weighted phase coherence for analyzing complex dynamics. This finding is crucial for accurate interpretation of interactions in noisy, real-world time-series data.

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Area of Science:

  • Signal processing
  • Complex systems analysis
  • Time-series analysis

Background:

  • Coherence quantifies the similarity of phase progression between oscillations.
  • Analyzing multi-scale, nonstationary dynamics requires robust methods.
  • Distinguishing between phase coherence and amplitude-weighted phase coherence is critical.

Purpose of the Study:

  • To review coherence measures, focusing on time-localized analysis.
  • To compare the robustness of phase coherence versus amplitude-weighted phase coherence.
  • To provide practical guidance for analyzing real-world time-series data.

Main Methods:

  • Review of coherence theory and time-localized analysis techniques.
  • Comparative analysis of phase coherence and amplitude-weighted phase coherence.
  • Application and illustration on numerically modeled and real time-series.

Main Results:

  • Phase coherence demonstrates superior robustness against noise perturbations.
  • Phase coherence is less susceptible to movement artifacts compared to amplitude-weighted phase coherence.
  • Time-localized analysis is essential for accurate coherence assessment.

Conclusions:

  • Phase coherence is a more reliable measure for analyzing complex, nonstationary signals.
  • The choice of coherence measure significantly impacts the interpretation of interactions.
  • Findings have broad implications for analyzing physical systems and real-world data.