Method of improving an analytical instrument and improved analytical instruments
AssigneeThe United States of America as represented by the Secretary of the Air Force
InventorsBenjamin A. Clapp, Mitchell H. Rubenstein
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Abstract
The present invention relates to methods of improving analytical instruments and improved analytical instruments. The aforementioned method employs a calibration correction module that calibrates the machine to effect measurements with the minimum possible relative squared error. This results in a significant improvement of the analytical instrument in question that leads to more precise and accurate results.
Claims1
An analytical instrument for providing an accurate analytical or non-analytical measurand, said instrument being selected from the group consisting of gas chromatograph mass spectrometer;
- liquid chromatograph mass spectrometer, ultraviolet detector, visible detector, fluorescence detector;
- electrochemical detector;
- ion chromatograph visible detector and ion chromatograph electrochemical detector, said analytical instrument comprising a correction module, said correction module comprising an input/output controller, a random access memory unit, a hard drive memory unit, and a unifying computer bus system, said input/output controller being configured to receive a digital signal and transmit said signal to a central processing unit and retrieve a signal comprising said accurate analytical or non-analytical measurand from said central processing unit said correction module programmed to:
- a) minimize one of the following formulas:
- ∑
- i
- =
- 1
- n
- (
- a
- j
-
- y
- i
- +
- b
- j
- -
- x
- i
- x
- i
- )
- 2
- (
- i
- )
- ∑
- i
- =
- 1
- n
- ❘
- "\[LeftBracketingBar]"
- a
- j
-
- y
- i
- +
- b
- j
- -
- x
- i
- x
- i
- ❘
- "\[RightBracketingBar]"
- (
- ii
- )
- wherein yi is the ith value of the sensor response and xi is the ith value of the measurand to yield values for the variables a and b;
- and insert a sensor response y from a separate data set, as well as the a and b values from Step a) above into the equation below to yield an approximate value for x
- ay+b≅x
- wherein x is the accurate measurand;
- or
- b) insert a sensor response y, as well as the a and b values obtained by the minimization one of the following formulas:
- ∑
- i
- =
- 1
- n
- (
- a
- j
-
- y
- i
- +
- b
- j
- -
- x
- i
- x
- i
- )
- 2
- (
- i
- )
- ∑
- i
- =
- 1
- n
- ❘
- "\[LeftBracketingBar]"
- a
- j
-
- y
- i
- +
- b
- j
- -
- x
- i
- x
- i
- ❘
- "\[RightBracketingBar]"
- (
- ii
- )
- wherein yi is the ith value of the sensor response and xi is the ith value of the measurand;
- into the equation below to yield an approximate value for x
- ay+b≅x
- wherein x is the accurate measurand.
Dependencies are inferred from the claim text.