
Journal of Systems Engineering and Electronics ›› 2026, Vol. 37 ›› Issue (3): 1059-1080.doi: 10.23919/JSEE.2026.000124
• CONTROL THEORY AND APPLICATION • Previous Articles
Sushmitha KOTI1,*(
), Rachamalla SANDHYA2(
)
Received:2024-07-03
Online:2026-06-18
Published:2026-06-29
Contact:
Sushmitha KOTI
E-mail:kotisushmitha2@gmail.com;SandhyaRachamalla@outlook.com
Sushmitha KOTI, Rachamalla SANDHYA. Hybrid adaptive machine learning approach for detection and mitigation of GNSS spoofing through enhanced osprey optimization algorithm[J]. Journal of Systems Engineering and Electronics, 2026, 37(3): 1059-1080.
Table 1
Actual data representation for dataset 1 and dataset 2 in GNSS spoofing attack detection and mitigation"
| Dataset | Channel 1 | Channel 2 | Channel 3 | Channel 4 | Channel 5 | Channel 6 | Channel 7 | Channel 8 | Channel 9 | Channel 10 |
| Dataset 1 | ||||||||||
| Dataset 1 | ||||||||||
| Dataset 2 | ||||||||||
Table 2
Variables utilized in the proposed model"
| Parameter | Detail |
| Batch size in KNN | 48 |
| Effective metric in KNN | Euclidean |
| Activation function in MLP | ReLu |
| Learning rate in MLP | 0.01 |
| Epochs in MLP | 100 |
| Batch size in BL | 64 |
| Activation function of HABMLP | ReLu |
| Batch size in HABMLP | 64 |
| Learning rate in HABMLP | 0.01 |
| Epochs in HABMLP | 100 |
Table 4
Statistical estimation of the hybrid machine learning-based GNSS spoofing detection and mitigation model"
| Dataset | Algorithm | RSO-HABMLP [ | DMO-HABMLP [ | CHIO-HABMLP [ | OOA-HABMLP [ | EOOA-HABMLP |
| Dataset 1 | Mean | |||||
| Standard deviation | ||||||
| Dataset 1 | Median | |||||
| Best | ||||||
| Worst | ||||||
| Dataset 2 | Best | |||||
| Standard deviation | ||||||
| Median | ||||||
| Mean | ||||||
| Worst |
Table 5
Numerical investigation of the hybrid ML-based GNSS spoofing detection and mitigation model %"
| Datase | Term | RSO-HABMLP [ | DMO-HABMLP [ | CHIO-HABMLP [ | OOA-HABMLP [ | EOOA-HABMLP |
| Dataset 1 | Accuracy | 90.388 | 91.326 | 92.250 | 92.821 | 94.296 |
| Recall | 90.447 | 91.260 | 92.246 | 92.783 | 94.289 | |
| Specificity | 90.373 | 91.342 | 92.251 | 92.831 | 94.297 | |
| Precision | 70.138 | 72.491 | 74.849 | 76.389 | 80.520 | |
| FPR | 9.627 | 8.658 | 7.749 | 7.169 | 5.703 | |
| FNR | 9.553 | 8.740 | 7.754 | 7.217 | 5.711 | |
| NPV | 97.425 | 97.664 | 97.942 | 98.093 | 98.508 | |
| FDR | 29.862 | 27.509 | 25.151 | 23.611 | 19.480 | |
| F1-score | 79.008 | 80.800 | 82.642 | 83.792 | 86.862 | |
| MCC | 73.89 | 76.12 | 78.43 | 79.85 | 83.67 | |
| Dataset 2 | Accuracy | 92.246 | 93.153 | 94.105 | 94.687 | 96.182 |
| Recall | 92.195 | 93.216 | 94.116 | 94.669 | 96.227 | |
| Specificity | 92.259 | 93.138 | 94.103 | 94.691 | 96.171 | |
| Precision | 74.859 | 77.252 | 79.959 | 81.678 | 86.268 | |
| FPR | 7.741 | 6.862 | 5.897 | 5.309 | 3.829 | |
| FNR | 7.805 | 6.784 | 5.884 | 5.331 | 3.773 | |
| NPV | 97.929 | 98.212 | 98.461 | 98.612 | 99.029 | |
| FDR | 25.141 | 22.748 | 20.041 | 18.322 | 13.732 | |
| F1-score | 82.628 | 84.486 | 86.462 | 87.695 | 90.976 | |
| MCC | 78.404 | 80.726 | 83.422 | 84.470 | 88.776 |
Table 6
Technique comparison %"
| Dataset | Term | KNN [ | SVM [ | BL [ | MLP [ | EOOA-HABMLP |
| Dataset 1 | Accuracy | 89.283 | 90.678 | 90.540 | 92.541 | 94.296 |
| Recall | 89.425 | 90.706 | 90.620 | 92.541 | 94.289 | |
| Specificity | 89.248 | 90.672 | 90.520 | 92.541 | 94.297 | |
| Precision | 67.525 | 70.853 | 70.500 | 75.619 | 80.520 | |
| FPR | 10.752 | 9.328 | 9.480 | 7.459 | 5.703 | |
| FNR | 10.575 | 9.294 | 9.380 | 7.459 | 5.711 | |
| NPV | 97.123 | 97.502 | 97.475 | 98.025 | 98.508 | |
| FDR | 32.475 | 29.147 | 29.500 | 24.381 | 19.480 | |
| F1-score | 76.947 | 79.560 | 79.303 | 83.228 | 86.862 | |
| MCC | 71.302 | 74.758 | 74.627 | 79.316 | 83.907 | |
| Dataset 2 | Accuracy | 90.945 | 92.555 | 93.046 | 94.375 | 96.182 |
| Recall | 90.966 | 92.558 | 93.095 | 94.410 | 96.227 | |
| Specificity | 90.940 | 92.554 | 93.034 | 94.367 | 96.171 | |
| Precision | 71.510 | 75.654 | 76.964 | 80.731 | 86.268 | |
| FPR | 9.060 | 7.446 | 6.966 | 5.633 | 3.829 | |
| FNR | 9.034 | 7.442 | 6.906 | 5.590 | 3.773 | |
| NPV | 97.577 | 98.029 | 98.178 | 98.541 | 99.029 | |
| FDR | 28.490 | 24.346 | 23.036 | 19.269 | 13.732 | |
| F1-score | 80.073 | 83.257 | 84.264 | 87.036 | 90.976 | |
| MCC | 75.322 | 79.719 | 80.645 | 83.989 | 88.778 |
Table 7
Validation of the implemented model %"
| Dataset | Terms | SDR[ | GLRT[ | CNN[ | ML[ | EOOA-HABMLP |
| Dataset 1 | Accuracy | |||||
| Precision | ||||||
| Recall | ||||||
| Specificity | ||||||
| FPR | ||||||
| FNR | ||||||
| NPV | ||||||
| FDR | ||||||
| F1-score | ||||||
| MCC | ||||||
| Dataset 2 | Accuracy | |||||
| Precision | ||||||
| Recall | ||||||
| Specificity | ||||||
| FPR | ||||||
| FNR | ||||||
| NPV | ||||||
| FDR | ||||||
| F1-score | ||||||
| MCC |
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