Myriad filtering and meridian filtering are known as robust methods of signal processing. The theory of these methods is based on the<br />generalized Cauchy distribution and maximum-likelihood criterion. Based on the “Principle of Minimum Duration”, we present an alternative<br />approach to justify and generalize the myriad and meridian filtering methods. The proposed approach shows that the myriad and<br />meridian filtering methods are special cases of the minimum-duration filtering methods derived from a concept of “signal quasi-duration”.<br />Mathematically, this concept is implemented through the concept of a functional (i.e., a function of a function) by using the proposed set<br />of cost functions. On this foundation, a “superfamily” of quasi-duration functional is built, and a general class of minimum-duration filtering<br />methods which depends on the three free-adjustable parameters is introduced. The numerical simulations are performed to compare the<br />proposed and conventional methods for the problem of filtering a constant signal which is distorted by a mixture of Cauchy, Laplacian and<br />Gaussian noise.
Науковий журнал «Радіоелектроніка, інформатика, управління»
Переглянути архів Інформація| Поле | Співвідношення | |
| ##plugins.schemas.marc.fields.042.name## |
dc |
|
| ##plugins.schemas.marc.fields.720.name## |
Borulko, V. F.; Dnipropetrovs’k National University,
Dnipropetrovs’k, Ukraine Vovk, S. M.; Dnipropetrovs’k National University, Dnipropetrovs’k, Ukraine |
|
| ##plugins.schemas.marc.fields.520.name## |
Myriad filtering and meridian filtering are known as robust methods of signal processing. The theory of these methods is based on the<br />generalized Cauchy distribution and maximum-likelihood criterion. Based on the “Principle of Minimum Duration”, we present an alternative<br />approach to justify and generalize the myriad and meridian filtering methods. The proposed approach shows that the myriad and<br />meridian filtering methods are special cases of the minimum-duration filtering methods derived from a concept of “signal quasi-duration”.<br />Mathematically, this concept is implemented through the concept of a functional (i.e., a function of a function) by using the proposed set<br />of cost functions. On this foundation, a “superfamily” of quasi-duration functional is built, and a general class of minimum-duration filtering<br />methods which depends on the three free-adjustable parameters is introduced. The numerical simulations are performed to compare the<br />proposed and conventional methods for the problem of filtering a constant signal which is distorted by a mixture of Cauchy, Laplacian and<br />Gaussian noise. |
|
| ##plugins.schemas.marc.fields.260.name## |
Zaporizhzhya National Technical University 2016-04-15 00:00:00 |
|
| ##plugins.schemas.marc.fields.856.name## |
application/pdf http://ric.zntu.edu.ua/article/view/66392 |
|
| ##plugins.schemas.marc.fields.786.name## |
Radio Electronics, Computer Science, Control; No 1 (2016): Radio Electronics, Computer Science, Control |
|
| ##plugins.schemas.marc.fields.546.name## |
en |
|
| ##plugins.schemas.marc.fields.540.name## |
Copyright (c) 2016 V. F. Borulko, S. M. Vovk |
|