Design of order statistics filters using feedforward neural networks

[摘要] In recent years significant progress have been made in the development of nonlinear data processing techniques. Such techniques are widely used in digital data filtering and image enhancement. Many of the most effective nonlinear filters based on order statistics. The widely used median filter is the best known order statistic filter. Generalized form of these filters could be presented based on Lloyd's statistics. Filters based on order statistics have excellent robustness properties in the presence of impulsive noise. In this paper, we present special approach for synthesis of order statistics filters using artificial neural networks. Optimal Lloyd's statistics are used for selecting of initial weights for the neural network. Adaptive properties of neural networks provide opportunities to optimize order statistics filters for data with asymmetric distribution function. Different examples demonstrate the properties and performance of presented approach.

[发布机构] Kazan Federal University, Kremlevskaya str.18, Kazan; 420018, Russia^1

[效力级别] 数学

[关键词] Asymmetric distribution;Digital datas;Initial weights;Nonlinear data;Order statistic filter;Order statistics;Order statistics filters;Robustness properties