Extended Multiplicative Signal Correction EMSC

The EMSC is a model-based multivariate data pre-processing method and is based on linear statistical regression modelling.It can be extended to 

A reference spectrum, ZRef, is required to give the model stability during the parameter estimation stage. Ideally ZRef should be the pure absorbance 

Once the parameters c, m, and h are estimated for eqn (8.8) the spectrum can be corrected using the following formula  

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In the previous section, it was noted that the MSC method is expected to perform poorly in cases where spectral offset and multiplicative variations are very small relative to those obtained from chemistry-based variations. In response to this, several methods were developed to enable more accurate multiplicative corrections through better modeling of chemistry-based variations in the data [34-35]. One such method is an extension of the MSC method, appropriately called extended multiplicative signal correction (EMSC) [35-37]. 

This resonant Mie scattering effect is the cause of the phenomenon previously referred to as the dispersion artefact , which was an inaccurate description because the effect was not solely due to dispersion and it is not an artefact because it can be explained fully. With an understanding of the physics behind resonant Mie scattering, preliminary algorithms based on the extended multiplicative signal correction (EMSC) have been developed. The EMSC... 

Resonant Mie Scattering Correction using the Extended Multiplicative Signal Correction (RMieS-EMSC)... 

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