Measuring apparatuses and methods of using them
First Claim
1. A method of calibrating an instrument, comprising the steps of:
- forming a preparatory calibration polynomial including a primary independent variable and at least one interference related independent variable;
obtaining a plurality of data sets of a dependent variable, the primary independent variable and the at least one interference related independent variable;
using the data sets to eliminate least significant terms of the preparatory calibration polynomial;
adding the most significant cross terms;
selecting a number of terms of a polynomial;
adding low degree cross termschoosing a maximum degree of the highest degree of an independent variable;
preparing a plurality of terms of the preparatory calibration polynomial wherein each term of said plurality of terms includes a different one of said independent variables and a different degree of the independent variable;
adding some trial cross terms.
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Abstract
A measuring instrument includes a transducer for measuring the depth of liquid and a transducer for measuring a physical parameter that causes interference error. A calibration polynomial is used to correct the output signal. The calibration polynomial includes the signal generated by the transducers as independent variables and the output signal as the dependent variable. The calibration polynomial is formed by a correction polynomial having at least one primary measurement signal and at least a first interference related signal as independent variables and a calibrated signal as a dependent variable. To form the calibration polynomial, a preliminary calibration polynomial including the primary independent variable and at least one interference related independent variable is developed. A plurality of data sets is generated from a test fixture. This data is used to eliminate the least significant terms of the preparatory calibration polynomial and to add the most significant cross terms.
40 Citations
8 Claims
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1. A method of calibrating an instrument, comprising the steps of:
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forming a preparatory calibration polynomial including a primary independent variable and at least one interference related independent variable; obtaining a plurality of data sets of a dependent variable, the primary independent variable and the at least one interference related independent variable; using the data sets to eliminate least significant terms of the preparatory calibration polynomial; adding the most significant cross terms; selecting a number of terms of a polynomial; adding low degree cross terms choosing a maximum degree of the highest degree of an independent variable; preparing a plurality of terms of the preparatory calibration polynomial wherein each term of said plurality of terms includes a different one of said independent variables and a different degree of the independent variable; adding some trial cross terms.
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2. A method of calibrating an instrument, comprising the steps of:
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forming a preparatory calibration polynomial including a primary independent variable and at least one interference related independent variable; obtaining a plurality of data sets of a dependent variable, the primary independent variable and the at least one interference related independent variable; using the data sets to eliminate least significant terms of the preparatory calibration polynomial; adding the most significant cross terms wherein the step of using the data sets to eliminate least significant terms of the preparatory calibration polynomial includes the steps of; eliminating one term at a time of the preparatory calibration polynomial, determining the coefficients of remaining terms; determining the maximum deviation until the maximum deviation has been determined for several of the terms; permanently eliminating the terms having the least effect on the maximum deviation. - View Dependent Claims (3, 4, 5, 6, 7)
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8. A method of calibrating an instrument, comprising the steps of:
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forming a preparatory calibration polynomial including a primary independent variable and at least one interference related independent variable; obtaining a plurality of data sets of a dependent variable, the primary independent variable and the at least one interference related independent variable; using the data sets to eliminate least significant terms of the preparatory calibration polynomial; adding the most significant cross terms one at a time; calculating coefficients for the polynomial each time a cross term is added; determining the maximum deviation; and permanently adding cross terms having the most beneficial effect on the maximum deviation.
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Specification