Lattice theory, rank selection probabilities (RSPs), and sample select
ion 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 latt
ice leads to an improved characterization of the impulsive noise suppr
ession capabilities of stack filters.