PRECISE FERQUENCY-PATTERN ANALYSIS TO DECOMPOSE COMPLEX SYSTEMS INTO FUNCTIONALLY INVARIANT ENTITIES
First Claim
1. A method comprising:
- registering a multichannel time series from data collected from a plurality of channels, wherein each channel corresponds to one of one or more sensors;
precise Fourier transforming, using a processor, the data from all channels to transform the data in a frequency domain;
selecting frequencies from the frequency domain;
inverse Fourier transforming, using the processor, for the selected frequencies from all channels;
selecting a restored time; and
localizing, using the processor, activity for the selected frequencies at the restored time.
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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.
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Citations
20 Claims
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1. A method comprising:
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registering a multichannel time series from data collected from a plurality of channels, wherein each channel corresponds to one of one or more sensors; precise Fourier transforming, using a processor, the data from all channels to transform the data in a frequency domain; selecting frequencies from the frequency domain; inverse Fourier transforming, using the processor, for the selected frequencies from all channels; selecting a restored time; and localizing, using the processor, activity for the selected frequencies at the restored time. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A system comprising:
one or more processors configured to; register a multichannel time series from data collected from a plurality of channels, wherein each channel corresponds to one of one or more sensors; precise Fourier transform the data from all channels to transform the data in a frequency domain; select frequencies from the frequency domain; inverse Fourier transform for the selected frequencies from all channels; select a restored time; and localize activity for the selected frequencies at the restored time. - View Dependent Claims (12, 13, 14, 15)
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16. A non-transitory computer readable medium having instructions stored thereon that, when executed by a computing device, cause the computing device to perform operations comprising:
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registering a multichannel time series from data collected from a plurality of channels, wherein each channel corresponds to one of one or more magnetic field sensors; precise Fourier transforming the data from all channels to transform the data in a frequency domain; selecting frequencies from the frequency domain; inverse Fourier transforming for the selected frequencies from all channels; selecting a restored time; and localizing activity for the selected frequencies at the restored time. - View Dependent Claims (17, 18, 19, 20)
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Specification