Although it would be interesting to try something along the line of Recurrent Neural Networks, LSTM, Time Delayed Neural Networks or Dynamic Time Warping.
Perhaps it's easier the other way around and try to model the ground signal using a neural network, also easier to get some test data

And keep in mind that most detectors only deliver phase and amplitude, so a very sparse feature vector, where a NN might not yield much improvement over conventional signal processing. Certainly interesting to see how it can be done with a NN.
Cool would be to correct for signal variations due to the search heads orientation usinng a gyro and accelerometer or using the neural network to control the transmitter's amplitude and phase, i.e some kind of reinforcement learning.

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