Research Article
A Method for Solving LiDAR Waveform Decomposition Parameters Based on a Variable Projection Algorithm
Table 2
Simulation results for the five groups of data calculated using the two methods without separation (LMunSep) and with separation (LMVP) of parameters.
| | Par | Meth | | 1 | 2 | 3 | 4 | 5 | | LMunSep | LMVP | LMunSep | LMVP | LMunSep | LMVP | LMunSep | LMVP | LMunSep | LMVP |
| | a1 | 55.0617 | 55.0617 | 38.7165 | 38.7165 | 39.1848 | 39.1848 | 45.4493 | 44.5576 | 69.9570 | 69.9570 | | a2 | 44.6495 | 44.6495 | 44.9162 | 44.9162 | 50.0122 | 50.0122 | 30.1706 | 39.0140 | 39.8209 | 39.8209 | | a3 | 50.0565 | 50.0565 | 38.8597 | 38.8597 | 79.9920 | 79.9920 | 69.6504 | 79.5206 | 44.7605 | 44.7605 | | a4 | 20.0493 | 20.0493 | 79.9784 | 79.9784 | 59.7621 | 59.7621 | 23.4229 | 35.2598 | 38.9916 | 38.9916 | | μ1 | 24.9878 | 24.9878 | 19.0105 | 19.0105 | 19.0048 | 19.0048 | 22.4230 | 18.8942 | 15.0032 | 15.0032 | | μ2 | 3.9835 | 3.9835 | 4.0028 | 4.0028 | 3.9963 | 3.9963 | 6.8918 | 3.9122 | 4.0109 | 4.0109 | | μ3 | 39.9723 | 39.9723 | 29.9902 | 29.9902 | 30.0025 | 30.0025 | 31.7396 | 29.9838 | 44.9793 | 44.9793 | | μ4 | 4.5465 | 4.5465 | 4.5212 | 4.5212 | 4.4845 | 4.4845 | −0.1427 | 4.7580 | 3.9749 | 3.9749 | | σ1 | 55.0010 | 55.0010 | 59.9848 | 59.9848 | 59.9971 | 59.9971 | 41.6845 | 42.0733 | 56.9878 | 56.9878 | | σ2 | 3.9996 | 3.9996 | 3.9960 | 3.9960 | 3.9939 | 3.9939 | 5.5996 | 3.9718 | 3.5163 | 3.5163 | | σ3 | 85.0168 | 85.0168 | 79.9924 | 79.9924 | 74.9912 | 74.9912 | 55.9326 | 55.0211 | 77.9833 | 77.9833 | | σ4 | 3.4960 | 3.4960 | 3.4979 | 3.4979 | 3.5066 | 3.5066 | 3.3875 | 3.4721 | 4.5122 | 4.5122 |
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