Piecewise-linear characteristics of MSLMS filter

The MSLMS (microstatic LMS) filter is a new kind of nonlinear filter, which stems from the filter based on the threshold decomposition approach. In this paper, the MSLMS filter is studied from another point of view, i.e. that of the piecewise-linear (PWL) filtering theory. From this study it is seen that the MSLMS filter belongs to a subset of known PWL filters. It is theoretically investigated that the use of the MSLMS filter is limited since the subset it belongs to has a drawback in approximating a desired filtering operator. This drawback is overcome by another PWL filter, e.g. the so-called CPWL filter, which may be taken as a generalization of the MSLMS filter. An example of our simulations is presented, which verify the study.