2003 · 10 citations · 5 references
Natural SciencesIndustrial EngineeringDesign OptimizationOptimizationTime Series AnalysisAcoustic OptimizationDigital Signal ProcessingNonlinear ProgrammingOrder StatisticsSignal ProcessingComputational Complexity Of AlgorithmsConstraintsMean Absolute ErrorMean Absolute Error AnalysisNoise AttenuationOptimal FilteringStructural Constraints
The authors present a procedure based on quadratic programming for finding the optimal weighted order statistic filter under the mean absolute error criterion satisfying imposed structural constraints. In this way, filters are obtained that simultaneously meet the desired detail preservation constraints and give a good noise attenuation. The algorithm is characterized by low computational complexity and simplicity in constraint formulation. The method is capable of handling large window size problems. >
5
Euclidean Geometry and Convexity.
Norman W. Johnson, Russell V. Benson · American Mathematical Monthly · 1969 · 155 citations