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Algebraic aspects of an ordered band arising in nonlinear signal processing
Authors:Marcel Wild
Affiliation:(1) Department of Mathematics, University of Stellenbosch, 7602 Matieland, South Africa
Abstract:
For any positive integers M and N we define a selfdually ordered band ℬ(M,N) of cardinality ${M+N+2choose N+1}-2$ and ask whether or not it is lattice-ordered. The origin of ℬ(M,N) in nonlinear signal processing is outlined.
Keywords:Ordered semigroup  Nonlinear signal processing  Idempotent filter
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