Processing data base information having nonwhite noise
First Claim
1. A method of processing at least one data base obtained from at least one of an industrial process and at least a first and second sensor for determining fault conditions of data characteristic of a process, comprising the steps of:
- collecting data from at least a first and second sensor to redundantly accumulate data from at least one physical variable of the industrial process to provide a first data signal from said first sensor and a second data signal from said second sensor, each said data signal being characteristic of the one physical variable;
obtaining a difference function of the data characteristic of the arithmetic difference pairwise between said first data signal and said second data signal at each of a plurality of different times of sensing the one physical variable;
obtaining a frequency domain transformation of said first difference function to procure Fourier coefficients corresponding to Fourier frequencies;
generating a composite function over a time domain using the Fourier coefficients;
obtaining a residual function over time by determining the arithmetic difference between the difference function and the composite function, the residual function having reduced serially correlated noise;
operating on the residual function using computer means for performing a statistical analysis technique to determine whether alarm condition data is present in at least one of the data base from the industrial process and from the at least first and second sensor, the residual function including white noise characteristics of an uncorrelated function of reduced skewness relative to the difference function and input to the statistical analysis technique; and
producing said at least one data base having data with identified alarm conditions associated therewith, allowing separation of said data with identified alarm conditions.
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Abstract
A method and system for processing a set of data from an industrial process and/or a sensor. The method and system can include processing data from either real or calculated data related to an industrial process variable. One of the data sets can be an artificial signal data set generated by an autoregressive moving average technique. After obtaining two data sets associated with one physical variable, a difference function data set is obtained by determining the arithmetic difference between the two pairs of data sets over time. A frequency domain transformation is made of the difference function data set to obtain Fourier modes describing a composite function data set. A residual function data set is obtained by subtracting the composite function data set from the difference function data set and the residual function data set (free of nonwhite noise) is analyzed by a statistical probability ratio test to provide a validated data base.
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Citations
23 Claims
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1. A method of processing at least one data base obtained from at least one of an industrial process and at least a first and second sensor for determining fault conditions of data characteristic of a process, comprising the steps of:
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collecting data from at least a first and second sensor to redundantly accumulate data from at least one physical variable of the industrial process to provide a first data signal from said first sensor and a second data signal from said second sensor, each said data signal being characteristic of the one physical variable; obtaining a difference function of the data characteristic of the arithmetic difference pairwise between said first data signal and said second data signal at each of a plurality of different times of sensing the one physical variable; obtaining a frequency domain transformation of said first difference function to procure Fourier coefficients corresponding to Fourier frequencies; generating a composite function over a time domain using the Fourier coefficients; obtaining a residual function over time by determining the arithmetic difference between the difference function and the composite function, the residual function having reduced serially correlated noise; operating on the residual function using computer means for performing a statistical analysis technique to determine whether alarm condition data is present in at least one of the data base from the industrial process and from the at least first and second sensor, the residual function including white noise characteristics of an uncorrelated function of reduced skewness relative to the difference function and input to the statistical analysis technique; and producing said at least one data base having data with identified alarm conditions associated therewith, allowing separation of said data with identified alarm conditions. - View Dependent Claims (2, 3, 4, 5, 6)
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7. A method of accumulating a data base with validated information from at least one of an industrial process and a sensor for determining fault conditions therein, comprising the steps of:
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collecting data from at least one sensor to detect at least one physical variable of the industrial process to provide a real signal from said one sensor; generating an artificial data signal characteristic of the one physical variable; obtaining a difference function characteristic of the difference pairwise between said real signal and said artificial signal at each of a plurality of different times of sensing the one physical variable; obtaining a frequency domain transformation of said difference function; generating a composite function data base over a time domain; obtaining a residual function over time by determining the difference between the difference function and the composite function data base, the residual function including white noise characteristics of an uncorrelated signal of reduced skewness compared to the difference function; and operating on the residual function using a computer means for performing a statistical analysis technique to determine whether alarm condition data is present in at least one of the industrial process and the at least one sensor, the residual function having said white noise characteristics input to the statistical analysis technique for providing the data base with validated information. - View Dependent Claims (8, 9, 10, 11, 12)
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13. A system for accumulating a data base with validated signals from data obtained from at least one of an industrial process and a sensor for determining a fault condition therein, comprising:
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first means for providing a first set of data characteristic of at least one physical variable of the industrial process; second means for providing a second set of data calculationally determined and related to the one physical variable of the industrial process; third means for determining a difference function of data characteristic of the arithmetic difference pairwise between said first set of data and said second set of data at each of a plurality of different times of the one physical variable being sensed; fourth means for obtaining a residual function of data over time by means for determining the arithmetic difference between the difference function data and the composite function data, the residual function data having reduced serially correlated noise; and fifth means for operating on the residual function data including a computer means for performing a statistical analysis technique and for determining whether corrupted data is present in at least one of the data obtained from the industrial process and the sensor and with said third means, said fourth means, and said fifth means cooperatively providing the residual function data with white noise characteristics of an uncorrelated signal of reduced skewness relative to the difference function as an input to the statistical analysis technique to provide the data base with validated signals. - View Dependent Claims (14, 15, 16, 17, 18, 19, 20)
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21. A method of processing at least one data base obtained from at least one of an industrial process and at least a first and second sensor for determining fault conditions of data characteristic of a process, comprising the steps of:
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collecting data from the at least first and second sensor to accumulate comparative data for at least one physical variable of the industrial process to provide a first data signal from said first sensor and a second data signal from said second sensor, each said data signal being characteristic of the one physical variable; obtaining a difference function of the data characteristic of the arithmetic difference pairwise between said first data signal and said second data signal at each of a plurality of different times of sensing the one physical variable; obtaining a frequency domain transformation of said first difference function to procure Fourier coefficients corresponding to Fourier frequencies; generating a composite function over a time domain using the Fourier coefficients; obtaining a residual function over time by determining the arithmetic difference between the difference function and the composite function, the residual function having reduced serially correlated noise; operating on the residual function using computer means for performing a statistical analysis technique to determine whether alarm condition data is present in the at least one data base from the industrial process and the first and second sensor, the residual function including white noise characteristics of an uncorrelated function of reduced skewness relative to the difference function and input to the statistical analysis technique; and producing said at least one data base having data with identified alarm conditions associated therewith, allowing separation of said data with identified alarm conditions. - View Dependent Claims (22)
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23. A system for accumulating a data base with validated signals from data obtained from at least one of an industrial process and a sensor for determining a fault condition therein, comprising:
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first means for providing a first set of data characteristic of at least one physical variable of the industrial process; second means for providing a second set of data related to the one physical variable of the industrial process; third means for determining a difference function of data characteristic of the arithmetic difference pairwise between said first set of data and said second set of data at each of a plurality of different times of the one physical variable being sensed; means for generating composite function data over a time domain; fourth means for obtaining a residual function of data over time by means for determining the arithmetic difference between the difference function data and the composite function data, the residual function data having reduced serially correlated noise; and fifth means for operating on the residual function data including a computer means for performing a statistical analysis technique and for determining whether degraded data is present in at least one of the data from the industrial process and from the sensor and with said third means, said fourth means, and said fifth means cooperatively providing the residual function data with white noise characteristics of an uncorrelated signal of reduced skewness relative to the difference function as an input to the statistical analysis technique to provide the data base with validated signals.
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Specification