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. Author manuscript; available in PMC: 2022 May 27.
Published in final edited form as: J Phys Chem A. 2021 May 19;125(20):4480–4487. doi: 10.1021/acs.jpca.1c02241

Table 2.

Example 2—SNR and SSIM of Noisy and Denoised Signalsa

data averaging SNR SSIM
noisy NERD noisy NERD
18-scan signal 73 1.1 × 108 NA NA
peak 1 38 6.1 × 107 NA NA
peak 2 17 2.5 × 107 NA NA
peak 3 2.7 5.1 × 106 NA NA
peak 4 32 5.3 × 107 NA NA
peak 5 13 2.4 × 107 NA NA
peak 6 9 1.4 × 107 NA NA
4-scan signal 33 1.1 × 105 0.8830 0.9968
peak 1 17 6.04 × 104 0.9073 0.9934
peak 2 8 2.5 × 104 0.9269 0.9899
peak 3 3 5.8 × 103 0.8741 0.9753
peak 4 14 5.3 × 104 0.9208 0.9964
peak 5 7 2.4 × 104 0.9182 0.9982
peak 6 6 1.3 × 104 0.8971 0.9945
1-scan signal 21 3.2 × 104 0.6938 0.9946
peak 1 9 1.7 × 104 0.7684 0.9978
peak 2 4 8.1 × 103 0.7324 0.9804
peak 3 2 2.1 × 103 0.6554 0.9391
peak 4 9 1.5 × 104 0.8018 0.9935
peak 5 4 5.7 × 103 0.7827 0.9866
peak 6 5 4.6 × 103 0.6823 0.9895
a

SNR is calculated at 18-, 4-, and 1-scan at different peaks, whereas SSIM is obtained for 4- and 1-scan because denoised NERD data at 18-scan are used as the reference. Hence, not applicable (NA) is noted for 18-scan SSIM values for noisy and denoised data. SSIM constant parameters are selected as c1 = c1 = 10−13 in order to measure the small differences in the spectrum. Signal refers to the complete spectrum for which the SNR and SSIM are obtained, and peak refers to SNR and SSIM values for individual peak regions.