Hai Liu, Zhaoli Zhang, Jianwen Sun, and Sanya Liu. Blind spectral deconvolution algorithm for Raman spectrum with Poisson noise[J]. Photonics Research, 2014, 2(6): 168
- Photonics Research
- Vol. 2, Issue 6, 168 (2014)
Fig. 1. Illustration of TR and MTR constraints on three types: flat region, noise region, and structure region. (a) Tikhonov regularization. (b) Modified Tikhonov regularization can distinguish different regions.
Fig. 2. Simulation experiment. (a) Raman spectrum of methyl formate (C 2 H 4 O 2 1500 cm − 1
Fig. 3. NMSE versus regularization parameter of TR-RL and MTR-RL for the Raman spectrum of methyl formate (C 2 H 4 O 2
Fig. 4. NMSE versus the iteration number of the three methods for the Raman spectrum [methyl formate (C 2 H 4 O 2
Fig. 5. Real Raman spectrum experiment. (a) Cr:LisAF crystal [13] from 300 to 900 nm, deconvolution by (b) TR-RL and (c) MTR-RL. (d) Estimated instrument function.
Fig. 6. Real Raman deconvolution experiment. (a) Raman spectrum of (D+)-glucopyranose [14] from 10 to 700 cm − 1
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Table 1. NMSE of Measured Spectrum and the Best Deconvolution Spectrum (with the Lowest NMSE by Different Algorithms)
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Table 2. FWHMR and NSR (in Brackets) Values of Different Deconvolution Methods on the Real Raman Spectraa
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