GCFD Coherence Tracker

GCFD Coherence Tracker — Technical Documentation

What is GCFD?

Generalized Cross-Frequency Decomposition is a method for quantifying the phase relationship between neural oscillations at different frequencies. The core metric is the Phase Locking Value (PLV), which measures the consistency of the phase difference between two band-filtered signals.

Why Cross-Frequency Coupling Matters

Neural oscillations at different frequencies serve distinct computational roles:

• Theta (4-8 Hz): Memory encoding, spatial navigation, top-down control
• Gamma (30-100 Hz): Local cortical processing, feature binding, attention

The coupling between theta and gamma (theta-gamma PAC/PLV) is a biomarker for:

• Working memory capacity
• Cognitive function in aging
• Severity of neuropsychiatric conditions (MDD, ADHD, Alzheimer's)
• Depth of anesthesia / consciousness level

Signal Processing Pipeline

Raw EEG/MEG Signal
    |
    v
[Butterworth Bandpass Filter] ─── Order 3, zero-phase (filtfilt)
    |                                  Band 1: e.g., Theta (4-8 Hz)
    |                                  Band 2: e.g., Gamma (30-100 Hz)
    v
[Hilbert Transform] ─────────── Extract analytic signal
    |
    v
[Phase Extraction] ──────────── np.angle(analytic_signal)
    |
    v
[Phase Locking Value] ────────── PLV = |mean(exp(j * (phase1 - phase2)))|
    |
    v
[Sliding Window Analysis] ───── 2s window, 0.5s step for temporal dynamics
    |
    v
[Global Coherence Score] ────── Mapped to [0.5, 1.0] clinical scale

Clinical Interpretation Scale

Note: Scores above 0.95 may indicate pathological hypersynchronization (e.g., epileptic activity).

CSV Upload Format

Upload EEG data as CSV with:

• Rows: Time samples
• Columns: Channels (first column used if multiple)
• No time column needed — timing derived from sampling rate parameter
• Units: Microvolts (uV) preferred, but any consistent unit works

Limitations

• This tool uses synthetic EEG by default — clinical use requires real EEG data
• PLV is sensitive to signal length and SNR — minimum 5 seconds recommended
• Single-channel analysis only (multi-channel averaging planned for v2.0)
• Phase-amplitude coupling (PAC) via Modulation Index not yet implemented

References

1. Lachaux, J.P. et al. (1999). Measuring phase synchrony in brain signals. Human Brain Mapping, 8(4), 194-208.
2. Canolty, R.T. et al. (2006). High gamma power is phase-locked to theta oscillations in human neocortex. Science, 313(5793), 1626-1628.
3. Tort, A.B. et al. (2010). Measuring phase-amplitude coupling between neuronal oscillations of different frequencies. Journal of Neurophysiology, 104(2), 1195-1210.
4. Goodman, M.S. et al. (2018). Theta-gamma coupling and working memory in Alzheimer's disease and mild cognitive impairment. Frontiers in Aging Neuroscience, 10, 101.
5. Sun, L. et al. (2022). Theta-gamma coupling deficit in MDD patients during working memory. Brain Research Bulletin, 189, 49-57.

API Access

This Space exposes a REST API via Gradio's built-in endpoint system.

Python Client

from gradio_client import Client

client = Client("Taurus-Ai-Corp/gcfd-coherence-tracker")
result = client.predict(
    preset="Healthy Adult",
    duration=10,
    fs=250,
    theta_amp=1.0,
    gamma_amp=1.5,
    noise_level=0.8,
    seed=42,
    theta_low=4.0,
    theta_high=8.0,
    gamma_low=30.0,
    gamma_high=100.0,
    csv_file=None,
    api_name="/run_analysis"
)

cURL

curl -X POST https://Taurus-Ai-Corp-gcfd-coherence-tracker.hf.space/api/predict \
  -H "Content-Type: application/json" \
  -d '{"data": ["Healthy Adult", 10, 250, 1.0, 1.5, 0.8, 42, 4.0, 8.0, 30.0, 100.0, null]}'

Rate Limits

Upcoming Features (v2.0)

• Multi-channel analysis with topographic maps
• Phase-Amplitude Coupling (PAC) via Modulation Index
• EDF/BDF file format support
• Batch processing endpoint
• Pre-trained EEG foundation model integration (braindecode/SignalJEPA)

About GCFD Coherence Tracker

Version: 1.0.0 Author: TAURUS AI Corp License: Apache License 2.0 Repository: GitHub

The Global Bio-Foundry Initiative

TAURUS AI Corp's neuroscience research initiative explores the intersection of:

• Neural coherence in biological systems
• Cross-frequency coupling dynamics in EEG/MEG signals
• Open-source neuroscience tooling for clinical research

The GCFD Coherence Tracker is the open-source component of this initiative, providing standard DSP tools for EEG/MEG phase synchronization analysis.

Citation

If you use this tool in your research, please cite:

@software{gcfd_tracker_2026,
  title = {GCFD Coherence Tracker: Cross-Frequency Phase Synchronization Analysis},
  author = {TAURUS AI Corp},
  year = {2026},
  version = {1.0.0},
  url = {https://huggingface.co/spaces/Taurus-Ai-Corp/gcfd-coherence-tracker},
  license = {Apache-2.0}
}

Related Work

• braindecode — Deep learning for EEG/MEG
• MNE-Python — MEG/EEG analysis toolkit
• SignalJEPA — Brain signal foundation model

Contact

• Research inquiries: admin@taurusai.io
• Enterprise licensing: admin@taurusai.io
• Issues: GitHub Issues