Patent Number: 054596750
Section: claims

1. A method of testing at least one of an industrial process and at least a first and second sensor for determining fault conditions therein, comprising the steps of: operating the at least first and second sensor to redundantly detect at least one physical variable of the industrial process to provide a first signal from said first sensor and a second signal from said second sensor, each said signal being characteristic of the one physical variable;  obtaining a difference function characteristic of the arithmetic difference pairwise between said first signal and said second 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 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 an alarm condition is present in at least one of the industrial process and 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 being input to the statistical analysis technique; and  said at least first and second sensor providing alarm information to an operator of the industrial process allowing modification of at least one of the industrial process and said at least first and second sensor when an alarm condition is detected.  operating 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 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 over a time domain;  obtaining a residual function over time by determining the difference between the difference function and the composite function;  operating on the residual function using a computer means for performing a statistical analysis technique to determine whether an alarm condition is present in at least one of the industrial process and the at lest one sensor, the residual function including white noise characteristics of an uncorrelated signal of reduced skewness relative to the difference function and being input to the statistical analysis technique; and  said at least one sensor providing alarm information to an operator of the industrial process allowing modification of at least one of the industrial process and the at least one sensor when an alarm condition is detected.  at least a first sensor to detect at least one physical variable of the industrial process to provide a real signal from said first sensor;  first means for generating a second signal for comparison with said real signal from said first sensor;  second means for determining a difference function characteristic of the arithmetic difference pairwise between said real signal and said second signal at each of a plurality of different times of sensing the one physical variable;  third means for obtaining a residual function over time by means for determining the arithmetic difference between the difference function and the composite function, the residual function including white noise characteristics of an uncorrelated signal of reduced skewness;  fourth means for operating on the residual function including a computer means for performing a statistical analysis technique and for determining whether an alarm condition is present in at least one of the industrial process and the at least first sensor and with said second means, said third means, and said fourth means cooperatively providing a function comprised of said white noise characteristics of uncorrelated signal of reduced skewness relative to the difference function as an input to the statistical analysis technique; and  means for providing information allowing modification of at least one of the industrial process and the at least first sensor when an alarm condition is detected.  operating the at least first and second sensor to redundantly detect at least one physical variable of the industrial process to provide a first signal from said first sensor and a second signal from said second sensor, each said signal being characteristic of the one physical variable;  obtaining a difference function characteristic of the arithmetic difference pairwise between said first signal and said second 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 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 including white noise characteristics of an uncorrelated function of reduced skewness relative to the difference function;  operating on the residual function using computer means for performing a statistical analysis technique to determine whether an alarm condition is present in at least one of the industrial process and the at least first and second sensor; and  said at least a first and second sensor providing alarm information to an operator of the industrial process allowing modification of at least one of the industrial process and the at least first and second sensor when an alarm condition is detected.  operating the at least one sensor to detect at least one physical variable of the industrial process to provide a real signal from said at least one sensor;  generating an artificial 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 over a time domain;  obtaining a residual function over time by determining the difference between the difference function and the composite function, the residual function comprising white noise characteristics of an uncorrelated signal of reduced skewness relative to the difference function;  operating on the residual function using a computer means for performing a statistical analysis technique to determine whether an alarm condition is present in at least one of the industrial process and the at least one sensor; and  said at least one sensor providing alarm information to an operator of the industrial process allowing modification of at least one of the industrial process and the at least one sensor when an alarm condition is detected. 2. The method described is claim 1 wherein said computer means comprises an artificial intelligence system. 3. The method as defined in claim 1 wherein the residual function further comprises reduced Markov dependent noise. 4. The method as defined in claim 1 wherein the industrial process comprises at least one of a chemical process, a mechanical process and an electrical operational process. 5. The method as defined in claim 1 wherein the step of obtaining Fourier coefficients comprise iteratively determining the minimum number of Fourier harmonics able to generate the composite function, 6. The method as defined in claim 1 further including at least one of the steps of modifying the industrial process or changing the sensor responsive to the alarm condition. 7. A method of testing at least one of an industrial process and a sensor for determining fault conditions therein, comprising the steps of: 8. The method as defined in claim 7 wherein the step of obtaining a frequency domain transformation comprises performing a Fourier transformation. 9. The method as defined in claim 7 wherein the steps of obtaining a composite function over time comprises performing an auto regressive moving average analysis. 10. The method as defined in claim 7 further including the step of determining a difference function for both the artificial signal and the real signal, as well as a separate pair of real signals. 11. The method as defined in claim 7 wherein the residual function further comprises reduced Markov dependent noise. 12. The method as defined in claim 8 wherein the step of obtaining a frequency domain transformation comprises obtaining Fourier coefficients iteratively to determine the minimum number of Fourier harmonics able to generate the composite function. 13. A system for testing at least one of an industrial process and a sensor for determining a fault condition therein, comprising: 14. The system as defined in claim 13 further including means for obtaining a frequency domain transformation of said difference function. 15. The system as defined in claim 13 wherein said computer means comprises an artificial intelligence system. 16. The system as defined in claim 13 wherein said means for generating a second signal comprises computer means for executing a computer program. 17. The system as defined in claim 16 wherein the computer program includes an autoregressive moving average procedure. 18. The system as defined in claim 13 wherein the system includes at least one pair of sensors for detecting each of the physical variables. 19. The system as defined in claim 13 wherein said computer means executes a computer program including a statistical probability ratio test on the residual function. 20. The system as defined in claim 13 further including means for changing at least one of the industrial process and substituting another sensor for a defective sensor. 21. A method of testing at least one of an industrial process and at least a first and second sensor for determining fault conditions therein, comprising the steps of: 22. A method of testing at least one of an industrial process and at least one sensor for determining fault conditions therein, comprising the steps of: