Method for correlating behavior between two elements of a system to determine the presence of mutual interaction between the elements
First Claim
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1. A method for correlating behavior between two elements of a system to determine the presence of mutual interaction between the elements, the method comprising:
- measuring the behavior of two elements of a system over time with respect to mutual interaction, thereby producing two behavior functions;
expressing a plurality of constraints on a theoretical distance c between said behavior functions; and
determining that said elements are behaving as mutually interacting elements where there exists an actual distance c that satisfies said constraints, wherein said expressing step comprises expressing each of said constraints using at least two time-consecutive samples (an, an+1) of one of said functions and at least one sample (bn) of the other of said functions that is time-intermediate said time-consecutive samples.
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Abstract
A method for correlating behavior between two elements of a system to determine the presence of mutual interaction between the elements, the method including measuring the behavior of two elements of a system over time with respect to mutual interaction, thereby producing two behavior functions, expressing a plurality of constraints on a theoretical distance c between the behavior functions, and determining that the elements are behaving as mutually interacting elements where there exists an actual distance c satisfies the constraints.
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Citations
10 Claims
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1. A method for correlating behavior between two elements of a system to determine the presence of mutual interaction between the elements, the method comprising:
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measuring the behavior of two elements of a system over time with respect to mutual interaction, thereby producing two behavior functions;
expressing a plurality of constraints on a theoretical distance c between said behavior functions; and
determining that said elements are behaving as mutually interacting elements where there exists an actual distance c that satisfies said constraints, wherein said expressing step comprises expressing each of said constraints using at least two time-consecutive samples (an, an+1) of one of said functions and at least one sample (bn) of the other of said functions that is time-intermediate said time-consecutive samples. - View Dependent Claims (2)
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3. A method for correlating behavior between two elements of a system to determine the presence of mutual interaction between the elements, the method comprising:
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measuring the behavior of two elements of a system over time with respect to mutual interaction, thereby producing two behavior functions;
expressing a plurality of constraints on a theoretical distance c between said behavior functions; and
determining that said elements are behaving as mutually interacting elements where there exists an actual distance c that satisfies said constraints, wherein said expressing step comprises expressing each of said distances using at least two time-consecutive samples (an, an+) of one of said functions and at least one sample (bn) of the other of said functions that is taken at the same time as one of said time-consecutive samples. - View Dependent Claims (4)
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5. A method for correlating behavior between two elements of a system to determine the presence of mutual interaction between the elements, the method comprising:
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measuring the behavior of two elements of a system over time with respect to mutual interaction, thereby producing two behavior functions;
expressing a plurality of constraints for a plurality of theoretical distances ci between said behavior functions; and
determining that said elements are behaving as mutually interacting elements where there exists a plurality of actual distances ci that satisfies said constraints, wherein said expressing step comprises;
expressing each of said constraints using a plurality of samples an of one of said functions taken at times at1, at2 . . . , atm first plurality of time-consecutive samples bn and a second plurality of time-consecutive samples b′
n of the other of said functions taken at times bt1, bt2 . . . , btn, wherein at1≦
bt1≦
at2≦
bt2≦
. . . atn≦
btn. ; and
selecting each of said constraints from of a set of constraints defined by the pattern;
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6. Apparatus for correlating behavior between two elements of a system to determine the presence of mutual interaction between the elements, the apparatus comprising:
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means for measuring the behavior of two elements of a system over time with respect to mutual interaction, thereby producing two behavior functions;
means for expressing a plurality of constraints on a theoretical distance c between said behavior functions; and
means for determining that said elements are behaving as mutually interacting elements where there exists an actual distance c that satisfies said constraints, wherein said expressing means comprises means for expressing each of said constraints using at least two time-consecutive samples (an, an+1) of one of said functions and at least one sample (bn) of the other of said functions that is time-intermediate said time-consecutive samples. - View Dependent Claims (7)
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8. Apparatus for correlating behavior between two elements of a system to determine the presence of mutual interaction between the elements, the apparatus comprising:
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means for measuring the behavior of two elements of a system over time with respect to mutual interaction, thereby producing two behavior functions;
means for expressing a plurality of constraints on a theoretical distance c between said behavior functions; and
means for determining that said elements are behaving as mutually interacting elements where there exists an actual distance c that satisfies said constraints, wherein said expressing means comprises means for expressing each of said distances using at least two time-consecutive samples (an, an+1) of one of said functions and at least one sample (bn) of the other of said functions that is taken at the same time as one of said time-consecutive samples. - View Dependent Claims (9)
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10. Apparatus for correlating behavior between two elements of a system to determine the presence of mutual interaction between the elements, the apparatus comprising:
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means for measuring the behavior of two elements of a system over time with respect to mutual interaction, thereby producing two behavior functions;
means for expressing a plurality of constraints for a plurality of theoretical distances ci between said behavior functions; and
means for determining that said elements are behaving as mutually interacting elements where there exists a plurality of actual distances ci that satisfies said constraints, wherein said expressing means comprises;
means for expressing each of said constraints using a plurality of samples an of one of said functions taken at times at1, at2 . . . , atn, a first plurality of time-consecutive samples bn and a second plurality of time-consecutive samples btn of the other of said functions taken at times bt1, bt2 . . . , btn, wherein at1≦
bt1≦
at2≦
bt2≦
. . . atn≦
btn.; and
means for selecting each of said constraints from of a set of constraints defined by the pattern;
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Specification