Method and System of Signal Processing for Phase-Amplitude Coupling and Amplitude-Amplitude coupling

摘要

A method implemented in a system of signal processing for phase-amplitude coupling (PAC) and amplitude-amplitude coupling (AAC), wherein comprises: decomposing a non-stationary signal by an ensemble empirical mode decomposition (EEMD) into a plurality of intrinsic mode functions (IMFs), receiving a phase function and an amplitude function from the IMFs, then comparing the phase function with the amplitude function on a time domain to generate a plurality of scattering plots. Further more, multiplying the scattering plots by the modulation index to generate a frequency spectrum. The following information will be illustrated the different part of PAC and AAC.

主权项

1. A method of signal processing for phase-amplitude coupling, the method comprising:
step 1. receiving a non-stationary signal with amplitude and frequency changes over time; step 2. decomposing the non-stationary signal by an ensemble empirical mode decomposition (EEMD) into a plurality of intrinsic mode functions (IMFs), wherein each of the IMFs is an expression of one banded frequency component in the non-stationary signal, and each banded frequency component corresponds to one of the IMFs; step 3. selecting a first IMF with a region of interest, retrieving a phase function of the first IMF, and obtaining a plurality of first-IMF cycle frequencies, wherein each first-IMF cycle frequency corresponds to the increment of the phase function across the cycle; step 4. selecting a second IMF, retrieving an amplitude function of the second IMFs, and obtaining a plurality of second-IMF cycle frequencies, wherein each second-IMF cycle frequency corresponds to the variation of the second IMF; and step 5. comparing the phase function with the amplitude function on a time domain to generate a scattering plot, wherein the scattering plot is based on the first-IMF cycle frequencies corresponding to the second-IMF cycle frequencies; Step 6. repeating step 4 to step 5, until generate the scattering plots by comparing the phase function of the first IMF with the amplitude function of each another IMF.