Calculation of the sample selection probabilities of stack filters by using weighted Chow parameters

In the present work weighted Chow parameters are developed with the aim of their application in the statistical analysis of a class of nonlinear filters, namely stack filters, which are specified by positive Boolean functions (PBF) representing the binary output at each threshold level of the continuous-valued signal. Selection probabilities of stack filters were defined based on the fact that the output of a continuous stack filter is one of the samples within the input window. The notion of weighted Chow parameters is introduced in this paper for analysis and computation of the sample selection probability vector of a continuous stack filter