PRECISE FERQUENCY-PATTERN ANALYSIS TO DECOMPOSE COMPLEX SYSTEMS INTO FUNCTIONALLY INVARIANT ENTITIES

摘要

Methods, systems, and apparatuses, including computer programs encoded on computer readable media, for registering a multichannel time series from data collected from a plurality of channels. Each channel corresponds to one of one or more sensors. A precise Fourier transform of the data from all channels is done to transform the data in a frequency domain. Frequencies from the frequency domain are selected. The selected frequencies from all channels are inverse Fourier transformed. A restored time is selected, and activity for the selected frequencies at the restored time is localized. Coherence for the selected frequencies is estimated and coherent components are extracted. Partial spectrum is assembled comprising frequencies with similar patterns of the coherent components. Inverse transform of the partial spectrum is used to reconstruct a time series for functional entities producing the similar patterns of the coherent components.