Correction for Instrumental Broadening in Size Exclusion Chromatography through a Stochastic Matrix Approach Based on Wiener Filtering Theory

GUGLIOTTA, L. M.; ALBA, D.; MEIRA, G. R.

Detection and Data Analysis in Size Exclusion Chromatography

American Chemical Society

Lugar: Washington; Año: 1987; p. 287 - 298

The correction for non-uniform instrumental broadening in SEC is solved through a non-recursive matrix stochastic technique. To this effect, Tung´s equation (1) must be reformulated in matrix form, and the meas­urements assumed contaminated with zero-mean noise. The proposed technique is based on an extension to time-varying systems of Wiener´s optimal filtering method (1-3). The estimation of the corrected chromatogram is optimal in the sense of minimizing the estimation error variance. A test for verifying the results is proposed, which is based on a comparison between the "innovations" sequence and its corresponding expected standard deviation. The technique is tested on both synthetic and experimental examples, and com­pared with an available recursive algorithm based on the Kalman filter.