Extracting causal information from a chaotic time series
First Claim
1. A method for analyzing the state of a first system from a time-varying signal representing a chaotic series of time intervals between quasi-periodical events produced by a second system governed by the first system, the method comprising:
- extracting envelope information from the time-varying signal;
constructing a phase space for the time-varying signal;
extracting information on the relative positions of points corresponding to the time-varying signal in the phase space;
combining the envelope and the position information;
based on the combining, providing information on the state of the first system.
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Accused Products
Abstract
Embodiments of the present invention provide a method, a system, and a computer code for analyzing the state of a first system (e.g., the autonomic system) from a time-varying signal representing a chaotic series of time intervals between quasi-periodical events produced by a second system (e.g., the cardiac system) governed by the first system. In one embodiment, the method comprises extracting envelope information from the time-varying signal, constructing a phase space for the time-varying signal, extracting information on the relative positions of points corresponding to the time-varying signal in the phase space, combining the envelope and the position information and, based on this combination, providing information on the state of the first system.
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Citations
54 Claims
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1. A method for analyzing the state of a first system from a time-varying signal representing a chaotic series of time intervals between quasi-periodical events produced by a second system governed by the first system, the method comprising:
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extracting envelope information from the time-varying signal;
constructing a phase space for the time-varying signal;
extracting information on the relative positions of points corresponding to the time-varying signal in the phase space;
combining the envelope and the position information;
based on the combining, providing information on the state of the first system. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33)
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34. An apparatus for analyzing the state of a first system from a time-varying signal representing a chaotic series of time intervals between quasi-periodical events produced by a second system governed by the first system, the apparatus comprising:
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means for extracting envelope information from the time-varying signal;
means for constructing a phase space for the time-varying signal;
means for extracting information on the relative positions of points corresponding to the time-varying signal in the phase space;
means for combining the envelope and the position information;
means for, based on the combining, providing information on the state of the first system. - View Dependent Claims (35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51)
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52. A computer readable storage medium having a computer program for analyzing the state of a first system from a time-varying signal representing a chaotic series of time intervals between quasi-periodical events produced by a second system governed by the first system, the computer program comprising:
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code for extracting envelope information from the time-varying signal;
code for constructing a phase space for the time-varying signal;
code for extracting information on the relative positions of points corresponding to the time-varying signal in the phase space;
code for combining the envelope and the position information;
code for, based on the combining, providing information on the state of the first system. - View Dependent Claims (53, 54)
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Specification