Amplitude Domain Approach to Digital Filtering: Therory and Applications of L-Filters

摘要

The thesis proposes several new ideas concerning order statistic based percentileestimation and introduces extensions of these to the use in signal and image processing. One important goal of this thesis is to give a unified presentation of the theory of L-filters including their statistical background. The presentation demonstrates how L-filters can be exploited to solve practical problems by introducing algorithms and implementations together with application examples. The thesis contains an extensive case study with comparisons of all major L-estimators together with proposed methods. Comparisions are carried out concerning both steady state and transient behavior of L-filters. Presented comparisons are aimed to offer a profound insight into the overall behavior, performance and robustness of both L-estimators and L-filters.