Determination of fit basis functions
AssigneeSouthwest Sciences Incorporated
InventorsDaniel J. Kane, David Christian Hovde
Life of this patent
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Abstract
An apparatus, software, and method for segregating out background signals from a signal of interest comprising sampling a signal that includes the background signals over one or more periods of time, forming a matrix from results of the sampling, calculating a matrix of basis functions via a singular value decomposition of the matrix from the forming operation, and determining a set of basis functions to employ to segregate out background signals. Also a corresponding wavelength modulation spectroscopy apparatus, software, and method.
Claims25
A method for segregating out background signals from a signal of interest, the method comprising the steps of:
- sampling a signal that includes the background signals over one or more periods of time;
- forming a matrix from results of the sampling step;
- calculating a matrix of basis functions via a singular value decomposition of the matrix from the forming step;
- determining a set of basis functions to employ to segregate out background signals;
- and
- altering an input over the one or more periods of time, thereby affecting the combined signal, wherein the altering step comprises changing current supplied to a laser of a wavelength modulation spectroscopy device.
A method for segregating out background signals from a signal of interest generated from a wavelength modulation spectroscopy device, the method comprising the steps of:
- sampling a signal that includes the background signals over one or more periods of time while changing current supplied to a laser of the wavelength modulation spectroscopy device;
- forming a matrix from results of the sampling step;
- calculating a matrix of basis functions via a singular value decomposition of the matrix from the forming step;
- and
- determining a set of basis functions to employ to segregate out background signals;
- and
- wherein the sampling step comprises measuring light intensity at a first and second harmonic frequency of a frequency generated by the laser.
An apparatus for segregating out background signals from a signal of interest, the apparatus comprising:
- means for sampling a signal that includes the background signals over one or more periods of time;
- means for forming a matrix from data provided by the sampling means;
- means for calculating a matrix of basis functions via a singular value decomposition of the matrix formed by the forming means;
- means for establishing a set of basis functions to employ to segregate out background signals;
- and
- means for altering an input over the one or more periods of time, thereby affecting the combined signal, wherein said altering means comprises means for changing current supplied to a laser of a wavelength modulation spectroscopy device.
An apparatus for segregating out background signals from a signal of interest generated from a wavelength modulation spectroscopy device, the apparatus comprising:
- means for sampling a signal that includes the background signals over one or more periods of time while changing current supplied to a laser of the wavelength modulation spectroscopy device;
- means for forming a matrix from data provided by the sampling means;
- means for calculating a matrix of basis functions via a singular value decomposition of the matrix formed by the forming means;
- and
- means for establishing a set of basis functions to employ to segregate out background signals;
- and
- wherein said sampling means comprises means for measuring light intensity at a first and second harmonic frequency of a frequency generated by the laser.
Computer software for segregating out background signals from a signal of interest, the software embodied on a computer readable medium and comprising:
- means for sampling a signal that includes the background signals over one or more periods of time;
- means for forming a matrix from data provided by the sampling means;
- means for calculating a matrix of basis functions via a singular value decomposition of the matrix formed by the forming means;
- means for establishing a set of basis functions to employ to segregate out background signals;
- and
- means for altering an input over the one or more periods of time, thereby affecting the combined signal, wherein said altering means comprises means for changing current supplied to a laser of a wavelength modulation spectroscopy device.
Computer software for segregating out background signals from a signal of interest generated from a wavelength modulation spectroscopy device, the software embodied on a computer readable medium and comprising:
- means for sampling a signal that includes the background signals over one or more periods of time while changing current supplied to a laser of the wavelength modulation spectroscopy device;
- means for forming a matrix from data provided by the sampling means;
- means for calculating a matrix of basis functions via a singular value decomposition of the matrix formed by the forming means;
- and
- means for establishing a set of basis functions to employ to segregate out background signals;
- and
- wherein said sampling means comprises means for measuring light intensity at a first and second harmonic frequency of a frequency generated by the laser.
Dependencies are inferred from the claim text.