Journal
APPLIED SPECTROSCOPY
Volume 62, Issue 8, Pages 847-853Publisher
SAGE PUBLICATIONS INC
DOI: 10.1366/000370208785284259
Keywords
noise reduction; spectral smoothing; signal-to-noise ratio enhancement; SNR; Savitzky-Golay filters; chi(2)-based regularization; deconvolution
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When reconstructing a measured spectrum to enhance its signal-to-noise ratio (SNR), the objective is to minimize the variance between the smooth reconstructed spectrum and the original measured spectrum, hence to attain an acceptably small chi(2) value. The chi(2) value thus measures the fidelity of the reconstruction to the original. Smoothness can be conceived as attenuated variation between adjacent points in a spectrum. Thus, a conceptual change in the application of the chi(2) function to the difference between adjacent points of the reconstructed spectrum permits its use, in principle, as both a measure of smoothness and a measure of fidelity. We show here that implementations of this concept produce results superior to Savitzky-Golay filters.
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