Signal Decomposition and Pseudo-baseline Optimization in Spectrum Reconstruction

The problem of reconstruction of high-resolution spectra on the basis of low-resolution data, provided by spectrophotometers, is addressed. It is shown that the performance of the algorithms for spectrum reconstruction with an in-built positivity constraint deteriorates for the data containing a considerable baseline (background). A new method for overcoming that limitation is proposed. It consists in subtraction of a rough estimate of the baseline (called pseudo-baseline) from the data, reconstruction of spectrum on the basis of the data modified in this way, and restoration of the pseudo-baseline in the final result of spectrum reconstruction. The proposed amelioration is illustrated by means of an algorithm of spectrum reconstruction, based on the Jansson method of deconvolution