This paper is motivated by a real estimation problem arising in transient electromagnetic mineral exploration. A specific sub-problem of interest in this area is that of finding the transfer function linking two antennae without utilising the primary excitation. Natural excitation is provided by near- field and far-field lightning strikes ('sferics'). This estimation problem is surprisingly difficult due to its intrinsic errors-in- variables nature. This paper proposes a combined time- and frequency-domain method to address the difficulty and obtain model estimates that are shown to be of practical use for sferics noise cancellation.
46th IEEE Conference on Decision and Control, 2007. Proceedings of the 46th IEEE Conference on Decision and Control (New Orleans, LA 12-14 December, 2007) p. 3628-3633