Table 2 Experimental results of evaluation across different flight phases
From: Multi-horizon flight trajectory prediction enabled by time-frequency wavelet transform
Phase | Method | Horizon | MAE↓ | MAPE(%)↓ | RMSE↓ | MDE↓ | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Â | Â | Â | Lon | Lat | Alt | Lon | Lat | Alt | Lon | Lat | Alt | Â |
Cruise | FlightBERT++ | 1 | 0.0015 | 0.0015 | 0.02 | 0.0014 | 0.0059 | 0.0028 | 0.0051 | 0.0127 | 0.19 | 0.15 |
3 | 0.0028 | 0.0027 | 0.05 | 0.0026 | 0.0102 | 0.0056 | 0.0077 | 0.0144 | 0.45 | 0.25 | ||
9 | 0.0063 | 0.0059 | 0.14 | 0.0058 | 0.0226 | 0.0155 | 0.0153 | 0.0214 | 2.03 | 0.56 | ||
15 | 0.0094 | 0.0088 | 0.21 | 0.0087 | 0.0335 | 0.0214 | 0.0215 | 0.0281 | 4.84 | 0.84 | ||
WTFTP+ | 1 | 0.0012 | 0.0012 | 0.32 | 0.0011 | 0.0046 | 0.0349 | 0.0035 | 0.0078 | 0.48 | 0.11 | |
3 | 0.0022 | 0.0021 | 0.53 | 0.0020 | 0.0081 | 0.0575 | 0.0056 | 0.0107 | 0.93 | 0.19 | ||
9 | 0.0055 | 0.0052 | 1.48 | 0.0051 | 0.0195 | 0.1603 | 0.0140 | 0.0170 | 3.78 | 0.48 | ||
15 | 0.0098 | 0.0088 | 2.84 | 0.0091 | 0.0332 | 0.3078 | 0.0252 | 0.0248 | 7.85 | 0.83 | ||
Takeoff/Climb | FlightBERT++ | 1 | 0.0028 | 0.0027 | 5.43 | 0.0026 | 0.0100 | 1.22 | 0.0044 | 0.0045 | 7.59 | 0.26 |
3 | 0.0056 | 0.0057 | 10.52 | 0.0053 | 0.0208 | 2.19 | 0.0093 | 0.0101 | 15.34 | 0.53 | ||
9 | 0.0129 | 0.0141 | 22.76 | 0.0123 | 0.0516 | 4.10 | 0.0212 | 0.0254 | 33.49 | 1.26 | ||
15 | 0.0194 | 0.0203 | 32.74 | 0.0183 | 0.0745 | 5.27 | 0.0331 | 0.0347 | 47.02 | 1.83 | ||
WTFTP+ | 1 | 0.0019 | 0.0021 | 3.31 | 0.0018 | 0.0074 | 0.68 | 0.0029 | 0.0032 | 4.69 | 0.18 | |
3 | 0.0040 | 0.0043 | 6.29 | 0.0038 | 0.0154 | 1.22 | 0.0068 | 0.0075 | 9.29 | 0.37 | ||
9 | 0.0111 | 0.0124 | 13.39 | 0.0105 | 0.0449 | 2.23 | 0.0215 | 0.0249 | 19.54 | 1.05 | ||
15 | 0.0193 | 0.0214 | 19.79 | 0.0182 | 0.0778 | 2.94 | 0.0379 | 0.0450 | 29.09 | 1.83 | ||
Approach/Descent | FlightBERT++ | 1 | 0.0016 | 0.0026 | 2.79 | 0.0015 | 0.0093 | 0.57 | 0.0032 | 0.0056 | 4.60 | 0.21 |
3 | 0.0033 | 0.0048 | 5.43 | 0.0032 | 0.0171 | 1.13 | 0.0071 | 0.0104 | 9.04 | 0.39 | ||
9 | 0.0104 | 0.0110 | 15.03 | 0.0098 | 0.0389 | 3.36 | 0.0249 | 0.0226 | 23.94 | 0.99 | ||
15 | 0.0170 | 0.0165 | 24.11 | 0.0161 | 0.0578 | 6.04 | 0.0395 | 0.0313 | 36.87 | 1.52 | ||
WTFTP+ | 1 | 0.0013 | 0.0013 | 1.90 | 0.0012 | 0.0046 | 0.40 | 0.0023 | 0.0022 | 2.95 | 0.12 | |
3 | 0.0028 | 0.0027 | 3.89 | 0.0026 | 0.0093 | 0.85 | 0.0059 | 0.0050 | 6.51 | 0.24 | ||
9 | 0.0094 | 0.0075 | 11.07 | 0.0089 | 0.0260 | 2.59 | 0.0218 | 0.0143 | 17.61 | 0.75 | ||
15 | 0.0176 | 0.0130 | 17.68 | 0.0167 | 0.0450 | 4.59 | 0.0364 | 0.0236 | 26.83 | 1.34 | ||