Quantum Systems

We present a reliable post processing routine for the elimination of step-edges in SQUID-based geomagnetic data. A special feature of the algorithm is the correction of the A/D converters step response including the acquired Gibbs ringing, which results in smoothly reconstructed data. For this, the dependence of the step-edge shape on its sub-sample position is calculated. To locate the step-edges with sub-sample resolution, the local response of the undecimated wavelet transform to the step-edge is minimized by an optimization procedure. Due to the intrinsic quantization of the step-edge heights, a drift free reconstruction of the measured quantity is possible.