The Validity of Polynomial Models for the Tracking of a Physical Field

This report is the fourth in a series and expands the investigation of the feasibility of using the linear relationship for the (n-1) th spatial derivative of n'th order field model for locating a sensor within the sampled field. Taking the electrical (or magnetic) field between two meandering parallel conductors as an example, the effect of a non polynomial field equation for generating the field measurements is explored. Criteria for the best polynomial fit for position-location purposes are examined and promising results achieved.