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 | |
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.