Systems and methods for spectral processing improvements in spatial heterodyne spectroscopy

Raman spectroscopy data is collected using a Spatial Heterodyne Spectrometer and processed in order to reduce signal noise. The processing of the Raman spectroscopy data includes segmenting generating an interferogram from the Raman spectroscopy data, segmenting the interferogram, determining an estimate of power spectrum density, and averaging the estimates of power spectrum density for each segment to provide an output spectrum. The output spectrum has greatly reduced variance of the individual power measurements, and allows the length of segments to be optimized to balance noise reduction operations and the loss of frequency resolution.