Author Affiliations
1 Department of Control Engineering, Academy of Armored Forces Engineering, Beijing 100072, China2 Army 66011 of PLA, Beijing 102600, China3 Army 66061 of PLA, Beijing 100144, Chinashow less
Fig. 1. Corrected atmospheric total spectrum curve of oxygen A absorption band
Fig. 2. Schematic of monocular multispectral system with three spectral channels for ranging
Fig. 3. Ideal baseline and spectral intensity curve of target radiation after atmosphere attenuation
Fig. 4. Distributions of (a) sum of error squares and (b) R2 of non-absorbing baseline by linear fitting when N=1
Fig. 5. Deviation distribution of sum of error squares of non-absorbing baseline by different polynomial fittings when N=2. (a) Linear fitting (mean: 83.9008, variance: 0.0889, R2: 0.9998); (b) quadratic polynomial fitting (mean: 82.6881, variance: 8.8413×10-4, R2: 1); (c) cubic polynomial fitting (mean: 82.6742, variance: 1.2449×10-7, R2: 1)
Fig. 6. Non-absorbing baseline by linear fitting and position of different fitting data points
Fig. 7. Difference of absorption coefficients in the oxygen A absorption band
Fig. 8. Variation in (a) absorptivity and (b) slope of absorptivity with path length
Fig. 9. Ideal baseline and spectral intensity curve of target radiation after atmospheric attenuation
Fig. 10. Distribution of sum of error squares of non-absorbing baseline by linear fitting when N=2
N | Linear polynomial | Quadratic polynomial | Cubic polynomial | Quartic polynomial | Quintic polynomial |
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1 | 47.959 | | | | | 2 | 48.355 | 47.818 | 47.658 | | | 3 | 48.417 | 47.439 | 47.627 | 46.562 | 51.167 | 4 | 48.332 | 47.570 | 47.962 | 46.201 | 47.367 | 5 | 48.341 | 47.835 | 47.294 | 47.954 | 48.458 | All data points | 48.504 | 47.791 | 47.789 | 47.788 | 47.677 |
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Table 1. Sum of error squares between ideal baseline and non-absorbing baselines by different fitting polynomials with different fitting data
N | Linear polynomial | Quadratic polynomial | Cubic polynomial | Quartic polynomial | Quintic polynomial |
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1 | 0.2215 | | | | | 2 | 0.2247 | 0.2203 | 0.2215 | | | 3 | 0.2251 | 0.2171 | 0.2192 | 0.2176 | 0.2463 | 4 | 0.2244 | 0.2182 | 0.2218 | 0.2066 | 0.2171 | 5 | 0.2245 | 0.2204 | 0.2163 | 0.2213 | 0.2253 | All data points | 0.2257 | 0.2200 | 0.2203 | 0.2201 | 0.2192 |
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Table 2. Absorptivity of oxygen A band with non-absorbing baseline by different fitting polynomials with different fitting data
N | Sum of error squares/variance |
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Linear polynomial | Quadratic polynomial | Cubic polynomial | Quartic polynomial |
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2 | 39.4996/0.0954 | | | | 3 | 39.5432/0.0569 | 39.9073/0.0224 | | | 4 | 39.5629/0.0384 | 39.9112/0.0048 | 39.8993/0.0325 | | 5 | 39.5747/0.0268 | 39.9105/0.0043 | 39.9001/0.0293 | 39.8674/0.1570 | All data points | 39.5997/0 | 39.8934/0 | 39.8523/0 | 39.7667/0 |
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Table 3. Variance and sum of error squares between non-absorbing baseline and ideal baseline