Abstract
In this paper, we study about restoring the signal which is corrupted by additive noise. In this category, we need the smoothing filter which can utilize both rank- and temporal-order information of input data. It is well known the LWOS-filter is one of nonlinear filters which can utilize two information. However, the LWOS filter suffer from a rapid growth in complexity as the window size increase. It is impossible to design the LWOS filters with 5 × 5 window. This limitation of window size is fatal defect for image processing. This paper presents a novel form of LWOS filter called the modified LWOS (M-LWOS) filter. M-LWOS filters defined in the threshold decomposition domain. In the case of the M-LWOS filter, arbitrary window size of this filter can be designed. We study a design method of the M-LWOS filter and show the effectiveness of the proposed filter.