Stepwise fuzzy correction of the algorithm filters of random signals
The task of estimating the information contained in random signals from various sources – meters. It is assumed that the gauges are discrete and are described, like the original process assessed, by a discrete mathematical model in the form of difference equations. As an estimation algorithm, we con...
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Belarusian National Technical University
2019-07-01
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| Series: | Системный анализ и прикладная информатика |
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| Online Access: | https://sapi.bntu.by/jour/article/view/252 |
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| author | A. A. Lobaty A. S. Radkevich |
| author_facet | A. A. Lobaty A. S. Radkevich |
| author_sort | A. A. Lobaty |
| collection | DOAJ |
| description | The task of estimating the information contained in random signals from various sources – meters. It is assumed that the gauges are discrete and are described, like the original process assessed, by a discrete mathematical model in the form of difference equations. As an estimation algorithm, we consider a discrete Kalman filter, which, in the general case, when mathematical models are inadequate to real processes, can give distorted information. To improve the accuracy of estimation, it is proposed to apply the integration of all possible meters with the introduction of additional a priori information using a fuzzy logic system. At the same time, it is proposed to make a transition from the obtained probability characteristics of the estimated process to the membership functions of fuzzy logic based on the output filter parameters using the normalization of the posterior probability density. This approach allows to increase the accuracy of estimation, as it takes into account additional information and its complex processing. |
| format | Article |
| id | doaj-art-2b24bed50dac495da62266ddcba6d606 |
| institution | Kabale University |
| issn | 2309-4923 2414-0481 |
| language | English |
| publishDate | 2019-07-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Системный анализ и прикладная информатика |
| spelling | doaj-art-2b24bed50dac495da62266ddcba6d6062025-02-03T11:37:41ZengBelarusian National Technical UniversityСистемный анализ и прикладная информатика2309-49232414-04812019-07-0101354010.21122/2309-4923-2019-1-35-40191Stepwise fuzzy correction of the algorithm filters of random signalsA. A. Lobaty0A. S. Radkevich1Belarusian National Technical UniversityBelarusian National Technical UniversityThe task of estimating the information contained in random signals from various sources – meters. It is assumed that the gauges are discrete and are described, like the original process assessed, by a discrete mathematical model in the form of difference equations. As an estimation algorithm, we consider a discrete Kalman filter, which, in the general case, when mathematical models are inadequate to real processes, can give distorted information. To improve the accuracy of estimation, it is proposed to apply the integration of all possible meters with the introduction of additional a priori information using a fuzzy logic system. At the same time, it is proposed to make a transition from the obtained probability characteristics of the estimated process to the membership functions of fuzzy logic based on the output filter parameters using the normalization of the posterior probability density. This approach allows to increase the accuracy of estimation, as it takes into account additional information and its complex processing.https://sapi.bntu.by/jour/article/view/252discrete processestimationprobability densitymembership functionfuzzy logic |
| spellingShingle | A. A. Lobaty A. S. Radkevich Stepwise fuzzy correction of the algorithm filters of random signals Системный анализ и прикладная информатика discrete process estimation probability density membership function fuzzy logic |
| title | Stepwise fuzzy correction of the algorithm filters of random signals |
| title_full | Stepwise fuzzy correction of the algorithm filters of random signals |
| title_fullStr | Stepwise fuzzy correction of the algorithm filters of random signals |
| title_full_unstemmed | Stepwise fuzzy correction of the algorithm filters of random signals |
| title_short | Stepwise fuzzy correction of the algorithm filters of random signals |
| title_sort | stepwise fuzzy correction of the algorithm filters of random signals |
| topic | discrete process estimation probability density membership function fuzzy logic |
| url | https://sapi.bntu.by/jour/article/view/252 |
| work_keys_str_mv | AT aalobaty stepwisefuzzycorrectionofthealgorithmfiltersofrandomsignals AT asradkevich stepwisefuzzycorrectionofthealgorithmfiltersofrandomsignals |