Our brain waves consist of a lot of nonlinear characteristics. Holo-Hilbert cross-frequency phase clustering (HHCFPC) is a cross-frequency coupling connectivity analysis based on the nonlinear Holo-Hilbert Spectral Analysis (HHSA) method. It is achieved by clustering the vectors of "phase difference" between the phase of a first layer IMF (obtained by HHSA) from one EEG channelthe phase of a second layer IMF from the other EEG channel. The results of HHCFPC can be used as a guide to optimize the parameters (e.g. frequency,frequencydepth of AM) of non-invasive brain stimulations.

Holo-Hilbert cross-frequency phase clustering (HHCFPC) is a cross-frequency brain functional connectivity analysis based on the Holo-Hilbert spectral analysis (HHSA). Its scientific breakthrough lies in transforming the amplitude function into instantaneous phase functions of various time scales (ie, second-layer IMFs) through two-layer empirical mode decomposition,then performing cross-frequency phase coupling calculations with the phase of the first-layer IMFs. Furthermore, establishing the parameters of non-invasive brain stimulation by HHCFPC is also a new breakthrough.

Holo-Hilbert cross-frequency phase clustering (HHCFPC) can be applied to any kind of multi-channel electrophysiological signal measurement device, such as: EEG,EKG. Furthermore, because the HHCFPC information can be used to establish non-invasive brain stimulation (NIBS) parameters, it can also be applied to any NIBS device, such as: transcranial electrical stimulation (tDCS/ tACS),transcranial magnetic stimulation (TMS). By building the algorithm provided by this technology, the application value of the various devices mentioned above can be significantly improved.

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