Use of Sequential Differences in Smoothing 3-D Data
NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF OPERATIONS RESEARCH
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The use of sequential successive differences in detecting wild data or outliers in data collected on torpedo paths is explored. It is assumed that the collected data on torpedo paths is of the form xi xti Pxti ni di where Pxti is the x components of the position of the torpedo at time t with Pt being some appropriate low order polynomial, ni is the noise due to measurement error, and di is a perturbation or disturbance which if present in sufficient amplitude will cause xi to be a wild datum or outlier. Variations in the patterns signatures of successive differences caused by a variety of perturbations are examined for the purpose of setting thresholds to be used to detect outliers. Data collected from a torpedo path at NGWES are used for illustration.
- Numerical Mathematics