Stack filter lattices

Abstract

Lattice theory, rank selection probabilities (RSPs), and sample selection probabilities (SSPs) are used to develop methods for comparing and ordering stack filters. New recursive algorithms for calculating RSPs and SSPs are developed. The structure of these algorithms assists in the derivation of several interesting properties of RSPs and SSPs. The identification of some important sublattices of the stack filter lattice leads to an improved characterization of the impulsive noise suppression capabilities of stack filters.