NeuroGuide Add-on. Dynamic Bi-Spectral Analysis for NeuroGuide offers two categories of Bi-Spectral analysis for NeuroGuide.

First is the spectral analysis of the time series of instantaneous absolute power, relative power, coherence, phase differences, amplitude asymmetry and phase reset (1st derivative of straightened phase). The first spectrum is the Hilbert transform of the EEG micro volt time series x(t) using Complex Demodulation to produce a new time series x'(t) of instantaneous power and magnitude and coherence and phase. The new time series is defined within frequency bands at specific center frequencies. The Bi-Spectrum is the Fourier transform of the Hilbert transformed time series from each electrode at each time point [(x'(t); y'(t) ..... n'(t)] to produce the instantaneous time series Bi-spectrum. To activate this Bi-Spectral analysis click View > Dynamic Bi-Spectrum. The second is the Cross-Frequency Bi-Spectrum which includes the cross-frequency power correlation (1 Hz to 50 Hz) and the Cross-Frequency Phase Shift Duration and the Cross-Frequency Phase Lock Duration. To activate the Cross-Frequency Bi-Spectra click Analysis > Bi-Spectral Analysis.

• Spectrum of the Time Series of Instantaneous Power
• Spectrum of the Time Series Relative Power
• Spectrum of the Time Series of Instantaneous Coherence
• Spectrum of the Time Series of Instantaneous Phase Differences
• Spectrum of the Time Series of Instantaneous Amplitude Differences
• Spectrum of the Time Series of Phase Reset
• Cross-Frequency Power Correlation (1Hz to 50 Hz)
• Cross-Frequency Phase Shift Duration (n:m phase synchrony)
• Cross-Frequency Phase Lock Duration (n:m phase synchrony

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Mathematical and computational details