caa a22 4500 477097340 CHVBK 20180405111531.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF01183776 doi (NATIONALLICENCE)springer-10.1007/BF01183776 Breakdown points, breakdown probabilities, midpoint sensitivity curves, and optimization of stack filters [Elektronische Daten] [Pauli Kuosmanen, Jaakko Astola] Three new concepts — breakdown points, breakdown probabilities, and midpoint sensitivity curves — for stack filter analysis are introduced and analyzed in this paper. Breakdown points and probabilities can be used as measures of the robustness of stack filters. Midpoint sensitivity curves in turn give information on how sensitive the output of a stack filter is to the changes of a single value in the input window. The second major contribution of this paper is the extension of the current optimality theory of stack filters. This theory combines noise attenuation and different constraints on the filter's behavior. New constraints are introduced in this paper. A new optimization approach based on breakdown probability as a noise attenuation measure is also derived. In certain special cases it is shown that the optimal stack filter that achieves the best noise attenuation subject to given constraints can be obtained in closed form. An algorithm for finding this form is given in this paper, and its modification for finding a stack filter having (approximately) a required rank selection vector is presented. Birkhäuser, 1996 Kuosmanen Pauli Signal Processing Laboratory, Tampere University of Technology, P.O. Box 553, SF-33101, Tampere, Finland aut Astola Jaakko Signal Processing Laboratory, Tampere University of Technology, P.O. Box 553, SF-33101, Tampere, Finland aut Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/2(1996-03-01), 165-211 0278-081X 15:2<165 1996 15 34 https://doi.org/10.1007/BF01183776 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01183776 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kuosmanen Pauli Signal Processing Laboratory, Tampere University of Technology, P.O. Box 553, SF-33101, Tampere, Finland aut NATIONALLICENCE 700 1- Astola Jaakko Signal Processing Laboratory, Tampere University of Technology, P.O. Box 553, SF-33101, Tampere, Finland aut NATIONALLICENCE 773 0- Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/2(1996-03-01), 165-211 0278-081X 15:2<165 1996 15 34 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer