Multi-dimensional dynamical analysis
First Claim
1. A method of monitoring dynamical behavior of a multi-dimensional system comprising:
- generating a multi-dimensional representation for each of a plurality of signals acquired from corresponding channels of the multi-dimensional system;
generating a plurality of dynamical profiles for each channel based on the corresponding multi-dimensional representations, wherein each dynamical profile reflects dynamical characteristics of the associated channel in accordance with one of a plurality of dynamical metrics;
calculating a plurality of first statistical measures for a group of a plurality of the channels, wherein each first statistical measure reflects a level of interaction among the channel group associated with at least one of the plurality of dynamical metrics;
calculating in an initialization period a second statistical measure for each of the first statistical measures, wherein the second statistical measure reflects a level of association of the first statistical measure with related occurrences being monitored;
selecting in the initialization period at least one of the plurality of dynamical metrics based on the second statistical measures calculated for each of the plurality of first statistical measures; and
identifying in the initialization period the first statistical measures corresponding to the selected dynamical metrics to characterize the dynamical behavior of the multi-dimensional system.
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Abstract
Techniques for investigating dynamical behavior of complex systems for monitoring, diagnosing, and predicting future behavior and trends are presented. A method includes generating a multi-dimensional representation for each signal acquired from corresponding channels of a multi-dimensional system, and generating dynamical profiles for each channel in accordance with one of multiple dynamical metrics. The method includes calculating multiple first statistical measures for a group of the channels that reflect a level of interaction among the channel group associated with at least one of the metrics. The method includes calculating in an initialization period a second statistical measure for each of the first statistical measures that reflect the association of the first statistical measures with related occurrences under investigation. The method includes selecting in the initialization period at least one of the metrics based on the second statistical measures, and identifying the first statistical measures corresponding to the selected metrics to characterize dynamical behavior.
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Citations
29 Claims
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1. A method of monitoring dynamical behavior of a multi-dimensional system comprising:
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generating a multi-dimensional representation for each of a plurality of signals acquired from corresponding channels of the multi-dimensional system;
generating a plurality of dynamical profiles for each channel based on the corresponding multi-dimensional representations, wherein each dynamical profile reflects dynamical characteristics of the associated channel in accordance with one of a plurality of dynamical metrics;
calculating a plurality of first statistical measures for a group of a plurality of the channels, wherein each first statistical measure reflects a level of interaction among the channel group associated with at least one of the plurality of dynamical metrics;
calculating in an initialization period a second statistical measure for each of the first statistical measures, wherein the second statistical measure reflects a level of association of the first statistical measure with related occurrences being monitored;
selecting in the initialization period at least one of the plurality of dynamical metrics based on the second statistical measures calculated for each of the plurality of first statistical measures; and
identifying in the initialization period the first statistical measures corresponding to the selected dynamical metrics to characterize the dynamical behavior of the multi-dimensional system. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
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13. A computer readable medium having stored therein a program, which when executed causes a processor to perform the following functions for monitoring dynamical behavior of a multi-dimensional system:
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generate a multi-dimensional representation for each of a plurality of signals acquired from corresponding channels of the multi-dimensional system;
generate a plurality of dynamical profiles for each channel based on the corresponding multi-dimensional representations, wherein each dynamical profile reflects dynamical characteristics of the associated channel in accordance with one of a plurality of dynamical metrics;
calculate a plurality of first statistical measures for a group of a plurality of the channels, wherein each first statistical measure reflects a level of interaction among the channel group associated with at least one of the plurality of dynamical metrics;
calculate in an initialization period a second statistical measure for each of the first statistical measures, wherein the second statistical measure reflects a level of association of the first statistical measure with related occurrences being monitored;
select in the initialization period at least one of the plurality of dynamical metrics based on the second statistical measures calculated for each of the plurality of first statistical measures; and
identify in the initialization period the first statistical measures corresponding to the selected dynamical metrics to characterize the dynamical behavior of the multi-dimensional system. - View Dependent Claims (14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)
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25. A system for monitoring dynamical behavior of a multi-dimensional system, comprising:
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a processing device that executes the following steps;
generating a multi-dimensional representation for each of a plurality of signals acquired from corresponding channels of the multi-dimensional system;
generating a plurality of dynamical profiles for each channel based on the corresponding multi-dimensional representations, wherein each dynamical profile reflects dynamical characteristics of the associated channel in accordance with one of a plurality of dynamical metrics;
calculating a plurality of first statistical measures for a group of a plurality of the channels, wherein each first statistical measure reflects a level of interaction among the channel group associated with at least one of the plurality of dynamical metrics;
calculating in an initialization period a second statistical measure for each of the first statistical measures, wherein the second statistical measure reflects a level of association of the first statistical measure with related occurrences being monitored;
selecting in the initialization period at least one of the plurality of dynamical metrics based on the second statistical measures calculated for each of the first statistical measures; and
identifying in the initialization period the first statistical measures corresponding to the selected dynamical parameters to characterize the dynamical behavior of the multi-dimensional system. - View Dependent Claims (26, 27, 28, 29)
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Specification