Retro-regression residual remediation for spectral/signal identification

A processor readable medium storing instructions that, when executed by a processor, cause the processor to:

• a. compute a residual error between an estimated spectrum and a measured spectrum taken of a sample, wherein the estimated spectrum is derived from a mixing coefficients for members of a library of spectra that are produced by computing a regression on the measured spectrum with the library;
• b. identify peaks in the residual error that extend in a direction opposite to that of peaks in the measured spectrum;
• c. perform a regression on the peaks to produce retro-regression coefficients;
• d. compute corrected mixing coefficients based on the retro-regression coefficients;
• and
• e. repeat (a) through (d) with the corrected mixing coefficients computed in (d) being used to generate a new estimated spectrum for computing the residual error in (a) at the next iteration.

A system for spectroscopic analysis comprising:

• a. a sensor that produces data from a mixture to be analyzed;
• and
• b. a processor coupled to the sensor, wherein the processor is programmed to:
• i. generate a measured spectrum from the data produced by the sensor;
• ii. perform a regression of the measured spectrum with a library of spectra;
• iii. generate estimated mixing coefficients from the regression;
• iv. compute a residual error between an estimated spectrum generated from the estimated mixing coefficients and the measured spectrum;
• v. identify peaks in the residual error that extend in a direction opposite to that of peaks in the measured spectrum;
• vi. perform a regression on the peaks to produce retro-regression coefficients;
• vii. compute corrected mixing coefficients based on the retro-regression coefficients;
• and
• viii. repeat (iv) through (vii) with the corrected mixing coefficients computed in (vii) being used to generate a new estimated spectrum for computing the residual error in (iv) at the next iteration.

A method for processing spectroscopic measured data of a sample, comprising:

• a. identifying peaks in a residual error between measured data and an estimated data computed from a regression performed on the measured data, wherein the peaks extend in a direction opposite to that of peaks in the measured data;
• b. performing a regression on the peaks;
• c. computing a corrected data based on the regression of the peaks;
• d. computing a new residual error between the measured data and the corrected data;
• and
• e. repeating (a) through (d) using the new residual error.