Chemometric analysis for extraction of individual fluorescence spectrum and lifetimes from a target mixture

A program storage device readable by a computer, tangibly embodying a program of instructions executable by the computer to perform method steps for a method of chemometric analysis for the extraction of an individual fluorescence spectrum and an individual fluorescence lifetime from a target mixture, comprising the following method steps:

• acquiring the frequency and wavelength data from the emitted signal from the target mixture;
• determining a G matrix and a S matrix from a frequency vector and a wavelength vector;
• renormalizing w.sup.-1 S.sub.x to G.sub.x ;
• determining an initial U, V, g and w.sup.-1 s approximations;
• initializing one or more decision variables;
• comparing the decision variables for convergence to see if further determinations for U, V, g and w.sup.-1 s are necessary;
• extracting the individual fluorescence lifetime from the mixture;
• and
• extracting the individual fluorescence spectrum from the target mixture.

A system for chemometric analysis for the extraction of an individual fluorescence spectrum and an individual fluorescence lifetime from a target mixture, comprising:

• a processor that acquires the frequency and wavelength data from the emitted signal from the mixture;
• means for determining a G matrix and a S matrix from a frequency vector and a wavelength vector;
• means for renormalizing w.sup.-1 S.sub.x to G.sub.x ;
• means for determining an initial U, V, g and w.sup.-1 s approximations;
• means for initializing one or more decision variables;
• means for comparing the decision variables for convergence to see if further determinations for U, V, g and w.sup.-1 s are necessary;
• means for extracting the individual fluorescence lifetime from the target mixture;
• and
• means for extracting the individual fluorescence spectrum from the target mixture.

An apparatus for chemometric analysis for the extraction of an individual fluorescence spectrum and an individual fluorescence lifetime from a target mixture, comprising:

• a processor that acquires the frequency and wavelength data from the emitted signal from the mixture;
• a determiner that determines a G matrix and a S matrix from a frequency vector and wavelength vector;
• a renormalizer that renormalizes w.sup.-1 S.sub.x to G.sub.x ;
• a determiner that determines an initial U, V, g and w.sup.-1 s approximations;
• an initializer that initializes one or more decision variables;
• a comparator that compares the decision variables for convergence to see if further determinations for U, V, g and w.sup.-1 s are necessary;
• an extractor that extracts the individual fluorescence lifetime from the target mixture;
• and
• an extractor that extracts the individual fluorescence spectrum from the target mixture.