Deconvolving oscillatory transients with a Kalman filter

Mathematics – Optimization and Control

Scientific paper

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12 pages, 9 figures

Scientific paper

This paper describes a method to filter oscillatory transients from
measurements of a time series which were at least an order of magnitude larger
than the signal to be measured. Based on a Kalman filter, it has an optimality
property and a natural scaling parameter that allows to tune it to high
resolution or low noise.

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