ABSTRACT

This chapter explains de-noising Raman spectra is modeled as an inverse problem with total variation and is expressed as the minimization of a non-differentiable cost function. Raman spectroscopy is a kind of molecular scattering spectroscopy that is characterized by frequency excursion that can be used to access information about the molecular structure of materials. It is a powerful non-destructive tool used in the estimation of chemical and physical properties of materials. The weak nature of Raman scattering results in the spectra with very low SNR can greatly influence the analytical results. De-noising a signal is the process of removing the noise from the signal. Due to its applicability in many fields, it has been the center of attraction for engineers and scientists. The de-noising of Raman spectra is one of the important parts of spectral analysis. Two types of methods have been used for de-noising the Raman spectra: filtering and smoothing.