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 relating to the state of the first system; and
displaying, via a display unit, information relating to 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 includes 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.
36 Citations
65 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 relating to the state of the first system; and displaying, via a display unit, information relating to 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, 34, 35, 36)
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37. 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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a processor configured to;
extract envelope information from the time-varying signal;
construct a phase space for the time-varying signal;
extract information on the relative positions of points corresponding to the time-varying signal in the phase space;
combine the envelope and the position information; and
, based on combining the envelope and the position information, provide information relating to the state of the first system; anda display to display information relating to the state of the first system. - View Dependent Claims (38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54)
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55. 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 relating to the state of the first system; and code for displaying information relating to the state of the first system. - View Dependent Claims (56, 57)
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58. 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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obtaining the time-varying signal from a patient via an acquisition unit; 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 the combining, providing information relating to the state of the first system; wherein the first system is the autonomic nervous system of the patient; and wherein the second system is the cardiac system of the patient, the quasi-periodical events are R waves of an electrocardiogram of the patient, and the chaotic series of time intervals are RR intervals derived from said electrocardiogram.
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59. 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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obtaining the time-varying signal from a patient via an acquisition unit; 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 the combining, providing information relating to the state of the first system; wherein the first system is the autonomic nervous system of the patient; and wherein combining comprises performing a first combination calculation providing first data representative of the parasympathetic component of the autonomic nervous system of the patient and performing a second combination calculation providing second data representative of the sympathetic component of the autonomic nervous system of the patient. - View Dependent Claims (60, 61)
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62. 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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obtaining the time-varying signal from a patient via an acquisition unit; 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 the combining, providing information relating to the state of the first system; wherein the first system is the autonomic nervous system of the patient; and wherein combining comprises performing a first combination calculation providing first data and performing a second combination calculation providing second data, the point-by-point subtraction of either of these first and second data from the other representing a sympathovagal balance between the parasympathetic and the sympathetic component of the autonomic nervous system of the patient. - View Dependent Claims (63, 64)
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65. 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, 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 the combining, providing information relating to the state of the first system; and a display for displaying information relating to the state of the first system.
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Specification