Adaptive fuzzy systems for multichannel signal processing

Processing multichannel signals rising digital signal processing techniques has received increased attention lately due to ifs importance in applicati ons such as multimedia technologies and telecommunications. The objective o f this paper is twofold: 1) to introduce adapitive filtering techniques to the reader who is just beginning in this area and 2) to provide a review fo r the reader who may be well versed in signal processing. The perspective o f the topic offered here is one that comes primarily from work done in the field of multichannel (color) image processing. Hence, many of the the tech niques and works cited here I elate to image processing with the emphasis p laced primarily on filtering algorithms based on fuzzy concepts, multidimen sional scaling, and or-der statistics-based designs. It should be noted, ho w,ever, that multichannel signal processing is a very broad field and thus contains many other approaches that have been developed om differ ent persp ectives, such as transformation domain filtering, classical least-square ap proaches, neural networks, and stochastic methods,just to name a Sew. In this paper:, we present a general formulation based on fuzzy concepts, w hich allows the use of adaptive weights in the filtering structure, and we discuss different filter designs. The strong potential of fuzzy adaptive fi lters for multichannel signal applications, such as color image processing, is illustrated with several examples.