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Updated: Dec 25, 2025

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
Published on: May 25, 2019
The shaky ground truth of real-time phase estimation
Christoph Zrenner1, Dragana Galevska1, Jaakko O Nieminen2
1Department of Neurology & Stroke, And Hertie Institute for Clinical Brain Research, University of Tübingen, Tübingen, Germany.
Accurately estimating brain oscillation phase from electroencephalography (EEG) is crucial for understanding brain states. This study defines conditions for reliable pre-stimulus phase estimation, enabling causal analysis of brain activity.
Area of Science:
- Neuroscience
- Signal Processing
- Computational Biology
Background:
- Instantaneous phase in electroencephalography (EEG) reflects brain state and influences neural processing.
- Standard methods struggle to determine phase at stimulus onset due to artifact interference.
- Accurate phase estimation is vital for understanding stimulus-evoked responses and brain dynamics.
Purpose of the Study:
- To quantify the impact of signal-to-noise ratio (SNR) and instantaneous amplitude on EEG phase estimation error.
- To define experimental conditions for reliable causal phase estimation.
- To provide tools and a workflow for optimizing and benchmarking phase estimation algorithms.
Main Methods:
- Analysis of phase estimation error variance using equivalent estimators.
- Simulation of realistic EEG data with known synthetic phase.
- Development and validation of a causal phase estimation toolbox using pre-stimulus EEG data.
Main Results:
- Established the relationship between SNR, instantaneous amplitude, and phase estimation precision.
- Specified conditions under which pre-stimulus phase estimation is meaningful.
- Demonstrated modulation of corticospinal excitability by pre-stimulus sensorimotor rhythm phase using transcranial magnetic stimulation (TMS).
Conclusions:
- Causal phase estimation in EEG is feasible under specific signal conditions.
- The developed toolbox and workflow facilitate accurate analysis of brain states.
- Pre-stimulus EEG phase significantly modulates neural excitability, offering insights into brain function.
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