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Two-Point Maximum Entropy Noise Discrimination in Spectra Over a Range of Baseline Offsets and Signal-to-Noise Ratios

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Abstract:

The two-point maximum entropy method (TPMEM) is a useful method for signal-to-noise ratio enhancement and deconvolution of spectra, but its efficacy is limited under conditions of high background offsets. This means that spectra with high average background levels, regions with high background in spectra with varying background levels, and regions of high signal-to-noise ratios are smoothed less effectively than spectra or spectral regions without these conditions. We report here on the cause of this TPMEM limitation and on appropriate baseline estimation and removal procedures that effectively minimize the effects on regularization. We also present a comparative analysis of TPMEM and Savitzky–Golay filtering to facilitate selection of the best technique under a given range of conditions.

Keywords: BACKGROUND CORRECTION; NOISE FILTERING; SIGNAL-TO-NOISE RATIO ENHANCEMENT; SPECTRAL SMOOTHING; TPMEM; TWO-POINT MAXIMUM ENTROPY METHOD

Document Type: Research Article

DOI: http://dx.doi.org/10.1366/000370207779947558

Affiliations: 1: Michael Smith Laboratories, The University of British Columbia, 2185 East Mall, Vancouver, BC, Canada, V6T 1Z4 2: Michael Smith Laboratories, The University of British Columbia, 2185 East Mall, Vancouver, BC, Canada, V6T 1Z4; Department of Electrical and Computer Engineering, The University of British Columbia, 5500–2332 Main Mall, Vancouver, BC, Canada, V6T 1Z4 3: Department of Physics and Astronomy, University of Victoria, Victoria, BC, Canada V8W 3P6 4: Department of Electrical and Computer Engineering, The University of British Columbia, 5500–2332 Main Mall, Vancouver, BC, Canada, V6T 1Z4 5: Michael Smith Laboratories, The University of British Columbia, 2185 East Mall, Vancouver, BC, Canada, V6T 1Z4; Department of Electrical and Computer Engineering, The University of British Columbia, 5500–2332 Main Mall, Vancouver, BC, Canada, V6T 1Z4; Department of Chemistry, The University of British Columbia, 300-6174 University Boulevard, Vancouver, BC, Canada, V6T 1Z1

Publication date: February 1, 2007

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