Deducing Local Field Values From Large Sense Coil Fluxmeter Measurements Using Semi-Orthogonal Compactly Supported Spline Wavelets

Accurate evaluation of ambient magnetic low-frequency fields is of great importance to several biological, noise, and compatibility applications. Due to their low cost, fluxmeters are regarded among the most commonly used devices for those measurement purposes. It is known that a fluxmeter can never resolve local field distributions within its sense coil dimensions. This paper introduces a new wavelet-based approach using which local field values from large sense coil fluxmeter measurements can be inferred. In this approach, wavelets on a bounded interval are used as basis functions for the efficient and accurate solution of the device response integral equation. Details and testing of the approach, in one and two dimensions, are given in the paper.