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Related Experiment Video

Updated: Oct 22, 2025

Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy
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Estimating Phase Amplitude Coupling between Neural Oscillations Based on Permutation and Entropy.

Liyong Yin1, Fan Tian2, Rui Hu2

  • 1Department of Internal Medicine, Hebei Medical University, Shijiazhuang 050011, China.

Entropy (Basel, Switzerland)
|August 27, 2021
PubMed
Summary
This summary is machine-generated.

Symbolic joint entropy (SJE) is an efficient method for measuring cross-frequency phase-amplitude coupling (PAC) in neural oscillations. SJE accurately identifies PAC frequency ranges, even with noise, offering superior computational performance.

Keywords:
entropymutual informationneuronal oscillationspermutationphase–amplitude coupling

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Area of Science:

  • Neuroscience
  • Computational Neuroscience
  • Signal Processing

Background:

  • Cross-frequency phase-amplitude coupling (PAC) is crucial for understanding neuronal network interactions.
  • PAC reflects the interplay between the phase of low-frequency oscillations (LFOs) and the amplitude of high-frequency oscillations (HFOs).

Purpose of the Study:

  • To evaluate and compare four permutation analysis-based methods for measuring PAC.
  • To identify the most computationally efficient and accurate method for PAC assessment in neural data.

Main Methods:

  • Applied four permutation analysis methods: multiscale permutation mutual information (MPMI), permutation conditional mutual information (PCMI), symbolic joint entropy (SJE), and weighted-permutation mutual information (WPMI).
  • Evaluated method performance using simulation data, analyzing effects of coupling strength, signal-to-noise ratios (SNRs), and data length.
  • Assessed accuracy in identifying PAC frequency ranges under spike noise interference.

Main Results:

  • Symbolic joint entropy (SJE) demonstrated comparable PAC strength measurement performance to other methods.
  • SJE exhibited significantly higher computational efficiency compared to MPMI, PCMI, and WPMI.
  • SJE accurately identified PAC frequency bands even in the presence of spike noise.

Conclusions:

  • Symbolic joint entropy (SJE) is a highly effective and computationally efficient method for evaluating cross-frequency phase-amplitude coupling in neural oscillations.
  • SJE offers robust performance in noisy conditions, making it a preferred choice for analyzing neural oscillatory interactions.