Complex signal decomposition and modeling
First Claim
1. An apparatus for monitoring the operating condition of a system, comprising:
- sensor means for acquiring a time-varying signal characterizing operation of the system;
means for decomposing said time-varying signal into a plurality of components;
a memory for storing a plurality of reference snapshots of component values for known operating conditions; and
processor means responsive to the decomposing means, disposed to generate estimates of the components using a similarity operation on the component values from the decomposing means with reference to the component values in each reference snapshot in the memory, according to;
where y(input) is a vector of said plurality of components, y(expected) is a vector of said estimates, D is a matrix of said reference snapshots, and ®
is said similarity operation, and wherein said processor means is further disposed to generate residual values by differencing the component values and the estimates thereof, for determination of deviating operating conditions of the system.
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Accused Products
Abstract
A system, method and program product for monitoring a complex signal for ultrasensitive detection of state changes, or for signature recognition and classification is provided. A complex signal is decomposed periodically for empirical modeling. Wavelet analysis, frequency band filtering or other methods may be used to decompose the complex signal into components. A library of signature data may be referenced for selection of a recognized signature in the decomposed complex signal. The recognized signature may indicate data being carried in the complex signal. Estimated signal data may be generated for determination of an operational state of a monitored process or machine using a statistical hypothesis test with reference to the decomposed input signal.
105 Citations
17 Claims
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1. An apparatus for monitoring the operating condition of a system, comprising:
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sensor means for acquiring a time-varying signal characterizing operation of the system;
means for decomposing said time-varying signal into a plurality of components;
a memory for storing a plurality of reference snapshots of component values for known operating conditions; and
processor means responsive to the decomposing means, disposed to generate estimates of the components using a similarity operation on the component values from the decomposing means with reference to the component values in each reference snapshot in the memory, according to;
where y(input) is a vector of said plurality of components, y(expected) is a vector of said estimates, D is a matrix of said reference snapshots, and ®
is said similarity operation, and wherein said processor means is further disposed to generate residual values by differencing the component values and the estimates thereof, for determination of deviating operating conditions of the system. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A method for monitoring the operating condition of a system, comprising the steps of:
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acquiring a time-varying signal characterizing operation of the system;
periodically extracting observations of features from said time-varying signal;
generating estimates for at least one of the extracted features responsive to extracting an observation of features, using a similarity operation with reference to a stored library of feature observations characteristic of acceptable operation of said system, according to;
where y(input) is a vector of said extracted features, y(expected) is a vector of said estimates, D is a matrix comprising said library of feature observations, and ®
is said similarity operation; and
differencing at least one of said feature estimates with corresponding extracted features to produce residuals for determination of deviating operating conditions of said system. - View Dependent Claims (12, 13, 14, 15, 16, 17)
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Specification