Method and apparatus for compensating waveforms, spectra, and profiles derived therefrom for effects of drift

A waveform processing method for compensating a plurality of sequential waveforms and profiles derived therefrom for effects of drift comprising:

• transforming a plurality of sequential waveforms obtained from a waveform-source device to provide an array of row vectors compensated for effects of drift of data along an independent variable axis, wherein the array of row vectors compensated for effects of drift of data along an independent variable axis constitutes a drift-compensated array;
• performing a principal-factor determination on the drift-compensated array to provide a set of principal factors compensated for effects of drift of data along an independent variable axis;
• and
• generating, from a profile trajectory of the row vectors lying compensated for effects of drift of data along the independent variable axis within a space of principal factors compensated for effects of drift of data along the independent variable axis, scaled target-factor profiles compensated for effects of drift of data along the independent variable axis.

An apparatus for compensating a plurality of sequential spectra and profiles derived therefrom for effects of drift comprising a spectroscopic analysis system, wherein the spectroscopic analysis system comprises:

• a spectrometer;
• and
• a computer system, coupled to the spectrometer, for analyzing spectra input from the spectrometer, the computer system further comprising a spectral processor for compensating a plurality of sequential spectra and profiles derived therefrom for effects of drift of data along an independent variable axis;
• wherein the spectral processor further comprises:
• a spectral transformer operating on a plurality of sequential spectra obtained from the spectrometer to provide an array of row vectors compensated for effects of drift of data along the independent variable axis, wherein the array of row vectors compensated for effects of drift of data along an independent variable axis constitutes a drift-compensated array;
• a principal-factor determinator operating on the drift-compensated array to provide a set of principal factors compensated for effects of drift of data along the independent variable axis;
• and
• a profile generator operating on a profile trajectory of the row vectors compensated for effects of drift of data along the independent variable axis lying within a space of principal factors compensated for effects of drift of data along the independent variable axis to provide a set of scaled target-factor profiles compensated for effects of drift of data along the independent variable axis.

An apparatus for compensating a plurality of seciuential waveforms and profiles derived therefrom for effects of drift, comprising a waveform analysis system, wherein the waveform analysis system comprises:

• a waveform-source device;
• and
• a computer system, coupled to the waveform-source device, for analyzing waveforms input from the waveform-source device, the computer system further comprising a waveform processor for compensating a plurality of sequential waveforms and profiles derived therefrom for effects of drift of data along an independent variable axis;
• wherein the waveform processor further comprises:
• a waveform transformer operating on a plurality of sequential waveforms obtained from a waveform-source device to provide an array of row vectors compensated for effects of drift of data along the independent variable axis, wherein the array of row vectors compensated for effects of drift of data along the independent variable axis constitutes a drift-compensated array;
• a principal-factor determinator operating on the drift-compensated array to provide a set of principal factors compensated for effects of drift of data along the independent variable axis;
• and
• a profile generator operating on a profile trajectory of the row vectors compensated for effects of drift of data along the independent variable axis lying within a space of principal factors compensated for effects of drift of data along the independent variable axis to provide a set of scaled target-factor profiles compensated for effects of drift of data along the independent variable axis.

An article of manufacture comprising a program storage medium readable by a computer, the medium tangibly embodying one or more programs of instructions executable by the computer to perform a method for compensating a plurality of sequential spectra and profiles derived therefrom for effects of drift, the method comprising:

• transforming a plurality of sequential spectra obtained from a spectrometer to provide an array of row vectors compensated for effects of drift of data along an independent variable axis, wherein the array of row vectors compensated for effects of drift of data along the independent variable axis constitutes a drift-compensated array;
• performing a principal-factor determination on the drift-compensated array to provide a set of principal factors compensated for effects of drift of data along the independent variable axis;
• and,
• generating, from a profile trajectory of the row vectors compensated for effects of drift of data along the independent variable axis lying within a space of principal factors compensated for effects of drift of data along the independent variable axis, scaled target-factor profiles compensated for effects of drift of data along the independent variable axis.

An article of manufacture comprising a program storage medium readable by a computer, the medium tangibly embodying one or more programs of instructions executable by the computer to perform a method for compensating a plurality of sequential waveforms and profiles derived therefrom for effects of drift of data along the independent variable axis, the method comprising:

• transforming a plurality of sequential waveforms obtained from a waveform-source device to provide an array of row vectors compensated for effects of drift of data along an independent variable axis, wherein the array of row vectors compensated for effects of drift of data along the independent variable axis constitutes a drift-compensated array;
• performing a principal-factor determination on the drift-compensated array to provide a set of principal factors compensated for effects of drift of data along the independent variable axis;
• and,
• generating, from a profile trajectory of the row vectors compensated for effects of drift of data along the independent variable axis lying within a space of principal factors compensated for effects of drift of data along the independent variable axis, scaled target-factor profiles compensated for effects of drift of data along the independent variable axis.