2002 · 21 citations · 5 references
EngineeringSensor ArrayMeasurementEducationGeophysical Signal ProcessingPrecision NavigationSubtle Outlier ErrorsError DetectionData ScienceCalibrationUncertainty QuantificationData AcquisitionSystems EngineeringComputational ImagingInstrumentationMultibeam SwathBathymetryMultibeam SystemsSpatial Data AcquisitionSignal ProcessingArray ProcessingRobust ModelingMeasurement System
For a variety of reasons, multibeam swath sounding systems produce errors that can seriously corrupt navigational charts. To address this problem, the authors have developed two algorithms for identifying subtle outlier errors in a variety of multibeam systems. The first algorithm treats the swath as a sequence of images. The algorithm is based on robust estimation of autoregressive (AR) model parameters. The second algorithm is based on energy minimization techniques. The data are represented by a weak-membrane or thin-plate model, and a global optimization procedure is used to find a stable surface shape. Both of these algorithms have undergone extensive testing at bathymetric processing centers to assess performance. The algorithms were found to have a probability of detection high enough to be useful and a false-alarm rate that does not significantly degrade the data quality. The resulting software is currently being used both at processing centers and at sea as an aid to bathymetric data processors.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Robust Estimation of a Location Parameter
Peter J. Huber · The Annals of Mathematical Statistics · 1964 · 6.7K citations · Full text
Digital Spectral Analysis with Applications.
B. Porat, S.L. Marple · Mathematics of Computation · 1988 · 2.7K citations