A new class of recursive order-statistic soft morphological (ROSSM) filters
are proposed and their important properties related to morphological filte
ring are developed. Criteria for specific selection of parameters are provi
ded to achieve excellent performance in noise reduction and edge preservati
on. It is shown through experimental results that the ROSSM filters, compar
ed to the order-statistic soft morphological filters or other well known no
nlinear filters, have better outcomes in signal reconstruction. Two example
s are given for demonstrating the flexibility of the proposed filters in si
gnal processing applications.