General approach to building the methods of filtering based on the minimum duration principle

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• 作者：S. M. Vovk
• 刊名：Radioelectronics and Communications Systems
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：59
• 期：7
• 页码：281-292
• 全文大小：215 KB
• 刊物类别：Engineering
• 刊物主题：Communications Engineering and Networks
  Russian Library of Science
  
• 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
• ISSN：1934-8061
• 卷排序：59

文摘

A new general approach to building the filtering methods has been created on the basis of minimum duration principle.Aclass of filtering methods for noisy fixed signals was developed within the framework of this approach. The specified class depends on three freely adjustable parameters and includes the known methods of averaging, median, myriad, and meridian filtering. The efficiency of the proposed approach is achieved by the adjustment of free parameters to their optimal values that depend on the noise scale (dispersion), magnitude of the weight of tails and distribution law waveforms. The general statement and partial statements of the problem of filtering the noisy fixed signal were formulated for a discrete case. The above statements were presented in the form of appropriate optimization problems. Numerical simulation results for the filtering problem of fixed signal distorted by the Gaussian, Laplace, Cauchy noises and mixtures of these noises were also presented.Original Russian Text © S.M. Vovk, 2016, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2016, Vol. 59, No. 7, pp. 3–16.ORCID: 0000-0002-8116-3500