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SNR Enhancement and Deconvolution of Raman Spectra Using a Two-Point Entropy Regularization Method

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Abstract:

A new method for Raman signal recovery, the two-point maximum entropy method (TPMEM), based on a regularization method using two-point entropy is presented. The method can be used for signal-to-noise ratio (SNR) enhancement in very low SNR measurements or for deconvolution, in order to remove the effects of the instrumental line shape on the measured spectrum. Unlike most SNR enhancement schemes, TPMEM requires no filter parameters and no a priori knowledge of the expected signal. A rigorous test on a randomly produced set of convolved and/or noise-corrupted simulated Raman spectra is presented in order to validate the method and compare it to Savitzky-Golay filtering and the maximum entropy method. The method is evaluated on the basis of the root mean square (rms) error and correlation coefficients of the recovered data with the original data, as well as on the basis of SNR improvement, and showed significant improvements in both performance and speed over conventional methods. The method is demonstrated in an application involving fiber-optic-linked Raman and resonance Raman spectroscopy.

Keywords: Deconvolution; Noise filtering; Raman spectroscopy; SNR enhancement

Document Type: Research Article

DOI: http://dx.doi.org/10.1366/0003702953964246

Affiliations: 1: Biotechnology Laboratory, The University of British Columbia, 237-6174 University Boulevard, Vancouver, British Columbia V6T 1Z3, Canada; Department of Electrical Engineering, The University of British Columbia, 434-2356 Main Mall, Vancouver, British Columbia V6T 1Z4, Canada 2: Department of Psychology, The University of British Columbia, 2509-2136 West Mall, Vancouver, British Columbia V6T 1Z4, Canada 3: Department of Chemistry, The University of British Columbia, E257-2036 Main Mall, Vancouver, British Columbia V6T 1Z1, Canada 4: Department of Electrical Engineering, The University of British Columbia, 434-2356 Main Mall, Vancouver, British Columbia V6T 1Z4, Canada

Publication date: April 1, 1995

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