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Related Experiment Video

Updated: May 24, 2025

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis
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A generalized coherence framework for quantifying input contributions in multi-input systems with correlated or

Nolan H Howes1, Matthew S Allen1, Dario Farina2

  • 1Mechanical Engineering, Brigham Young University, 350 EB, Provo, Utah 84602.

Biomedical Signal Processing and Control
|March 3, 2025
PubMed
Summary

New coherence measures accurately quantify individual input contributions in complex systems, even with correlated inputs. This advancement overcomes limitations of existing methods for robust system analysis.

Keywords:
Coherencecontribution analysiscorrelated inputsmultiple-inputoptimum frequency response functionoutput decompositionsource identification

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Area of Science:

  • Signal processing
  • Systems analysis
  • Biomedical engineering

Background:

  • Quantifying input contributions is crucial in multi-input systems.
  • Existing coherence measures fail with correlated inputs.
  • Accurate contribution analysis requires handling input correlation.

Purpose of the Study:

  • To develop a generalized coherence framework for accurate contribution analysis in any multi-input system.
  • To introduce novel coherence measures that address input correlation.
  • To validate the new measures against existing methods and real-world data.

Main Methods:

  • Defined three new coherence measures: component, excluded, and isolated coherence.
  • Decomposed output power into direct input contributions and interference.
  • Simulated a three-input system with varying correlation levels.
  • Applied measures to a case study on Essential Tremor.

Main Results:

  • Excluded and isolated coherence accurately estimated true contributions across all correlation levels.
  • Novel measures showed reduced random error compared to existing methods.
  • Component coherence provides intermediate decomposition of output power.

Conclusions:

  • The proposed expanded coherence framework enables accurate contribution analysis regardless of input correlation.
  • Excluded and isolated coherence are reliable measures for multi-input systems.
  • These novel measures generalize existing coherence analysis, improving accuracy and reducing error.