Magnetic Signature Translation for Magnetic Ranging with Drones
B.O. Analikwu (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Aad R.P. J. Vijn – Mentor (TU Delft - Mathematical Physics)
Niels van Dijk – Mentor (TU Delft - RST/Fundamental Aspects of Materials and Energy)
Eugene Lepelaars – Mentor (TNO)
Arnold Willem Heemink – Graduation committee member (TU Delft - Mathematical Physics)
Wim Bouwman – Graduation committee member (TU Delft - RST/Neutron and Positron Methods in Materials)
Martin B. Van Gijzen – Graduation committee member (TU Delft - Numerical Analysis)
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Abstract
In this thesis, an algorithm to model the magnetic perturbation field caused by ships is designed and implemented. A systematic description of methods used for modelling the magnetic signature of ships is given. The algorithm fits coefficients of a prolate spheroidal harmonic expansion of the scalar potential of the magnetic field using a least angle regression method (LARS) modified to implement Lasso regularisation. A Monte Carlo method with model selection based on Akaike's information criterion (AIC) is used to select optimal parameters specifying the prolate spheroidal coordinate system centred on the ship. Furthermore, a method to restrict the degree and order of the harmonic expansion is presented and an extension of the scikit-learn module in Python is given. The predictive power of the model was verified using simulated test data, which showed that the designed model is able to make adequate predictions, but improvements are needed. Different analyses on the inputs of the model showed that the model is succesful for low levels of noise, but is susceptible to overfitting for higher levels of noise. Several recommendations for further research are made.