Abstract: Methods, systems, apparatuses, including computer programs encoded on computer readable media, for registering a multichannel time series from data collected from a plurality of channels monitoring a body. Each channel corresponds to one or more sensors. The data from all channels is precise Fourier transformed to frequency data in a frequency domain. The frequency data is inverse Fourier transformed for each frequency in the frequency domain. Elementary coherent oscillations are determined from the inverse Fourier transformed frequency data. Partial spectra of the functional entities include frequencies with similar patterns from the elementary coherent oscillations. A functional tomogram of the body is calculated from the distribution in space of the energy and/or dominant directions of the sources, producing the partial spectra. The partial spectra is inverse Fourier transformed to reconstruct a time series for the functional entities.

Abstract: 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.