Patent · US Active

Discrete principal component analysis (DPCA)

US7783458B2 · kind B2 · utility

1Cited by
1References
42Claims
0Family size

Inventor

Key dates

Filing dateJun 22, 2007
Grant dateAug 24, 2010
Priority date
Expiry dateMar 2, 2028

Classification

  • Technology area (CPC G)Physics
  • CPC primaryG01N21/359
  • WIPO fieldMeasurement
  • WIPO sectorInstruments

Abstract

An optical system employs filtered broad band light for determining the specific components in a material sample. The system forms an r by n matrix C representing r principal components of the measurement to be analyzed at n different frequencies. Each sample contains a known quantity of the different materials in the sample being analyzed where r represents the number of different analytes or components in the sample. The system measures m different samples at n different frequencies, said m samples containing unknown quantities of the material, where “m” is a selected integer representing the number of samples. Using the measured results from the m samples the system forms an n by m matrix P, where P=C·R, and where R is an m by r matrix representing r unknown values of the r principal components which are being measured in the m material samples. The system then solves the equation P=C·R for R by inverting C in the equationR=(CT·C)−1·CT·P. This gives the value of each of the r principal components in the sample.

Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.