@article {Schulze:2008-08-01T00:00:00:0003-7028:847,
author = "Schulze, H. Georg and Foist, Rod B. and Ivanov, Andre and Turner, Robin F. B.",
title = "Chi-Squared-Based Filters for High-Fidelity Signal-to-Noise Ratio Enhancement of Spectra",
journal = "Applied Spectroscopy",
volume = "62",
number = "8",
year = "2008-08-01T00:00:00",
abstract = "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 χ^{2} value. The χ^{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 χ^{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.",
pages = "847-853",
url = "http://www.ingentaconnect.com/content/sas/sas/2008/00000062/00000008/art00008",
doi = "doi:10.1366/000370208785284259",
keyword = "NOISE REDUCTION, SAVITZKY-GOLAY FILTERS, DECONVOLUTION, SNR, SPECTRAL SMOOTHING, CHI2-BASED REGULARIZATION, SIGNAL-TO-NOISE RATIO ENHANCEMENT"
}