LINEAR FILTERING OF OUTPUT DATA OF A SINGLE-POSITION SECURITY SYSTEM

Obtaining an estimation of the filtering quality of a single-position security system is described in the paper. A general description of problems of estimation of filtering quality in the system is presented in the introduction. A geometric construction of a single-position security system, its mat...

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Main Author: B. A. Zaikin
Format: Article
Language:Russian
Published: MIREA - Russian Technological University 2017-10-01
Series:Российский технологический журнал
Subjects:
Online Access:https://www.rtj-mirea.ru/jour/article/view/83
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author B. A. Zaikin
author_facet B. A. Zaikin
author_sort B. A. Zaikin
collection DOAJ
description Obtaining an estimation of the filtering quality of a single-position security system is described in the paper. A general description of problems of estimation of filtering quality in the system is presented in the introduction. A geometric construction of a single-position security system, its mathematical description and formulas of Markov sequence that describes the motion of an object under observation are given. Descriptions of the processes of estimation with the use of α-β filtering, Wiener filtering, Kalman filtering for the system are presented. A definition of estimation describes criteria for the quality of filtering process, parameters for modeling the system and the results of the modeling. The suggested criteria for the quality of filtering process include average, variance and standard deviation of filtering errors and interval between the true and filtering values. Initial values for the modeling and the results of the modeling are presented. In conclusion, the filtering improves with increasing spectral width of probing signal and signal/noise ratio. However, Kalman filtering is most effective.
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spelling doaj-art-462671d3161c4d8fb353036d0128d60c2025-02-03T11:45:51ZrusMIREA - Russian Technological UniversityРоссийский технологический журнал2500-316X2017-10-0155132410.32362/2500-316X-2017-5-5-13-2483LINEAR FILTERING OF OUTPUT DATA OF A SINGLE-POSITION SECURITY SYSTEMB. A. Zaikin0Moscow Тechnological University (MIREA)Obtaining an estimation of the filtering quality of a single-position security system is described in the paper. A general description of problems of estimation of filtering quality in the system is presented in the introduction. A geometric construction of a single-position security system, its mathematical description and formulas of Markov sequence that describes the motion of an object under observation are given. Descriptions of the processes of estimation with the use of α-β filtering, Wiener filtering, Kalman filtering for the system are presented. A definition of estimation describes criteria for the quality of filtering process, parameters for modeling the system and the results of the modeling. The suggested criteria for the quality of filtering process include average, variance and standard deviation of filtering errors and interval between the true and filtering values. Initial values for the modeling and the results of the modeling are presented. In conclusion, the filtering improves with increasing spectral width of probing signal and signal/noise ratio. However, Kalman filtering is most effective.https://www.rtj-mirea.ru/jour/article/view/83α-β фильтрlinear filteringkalman filterwiener filterα-β filterestimating the quality of filteringsecurity system
spellingShingle B. A. Zaikin
LINEAR FILTERING OF OUTPUT DATA OF A SINGLE-POSITION SECURITY SYSTEM
Российский технологический журнал
α-β фильтр
linear filtering
kalman filter
wiener filter
α-β filter
estimating the quality of filtering
security system
title LINEAR FILTERING OF OUTPUT DATA OF A SINGLE-POSITION SECURITY SYSTEM
title_full LINEAR FILTERING OF OUTPUT DATA OF A SINGLE-POSITION SECURITY SYSTEM
title_fullStr LINEAR FILTERING OF OUTPUT DATA OF A SINGLE-POSITION SECURITY SYSTEM
title_full_unstemmed LINEAR FILTERING OF OUTPUT DATA OF A SINGLE-POSITION SECURITY SYSTEM
title_short LINEAR FILTERING OF OUTPUT DATA OF A SINGLE-POSITION SECURITY SYSTEM
title_sort linear filtering of output data of a single position security system
topic α-β фильтр
linear filtering
kalman filter
wiener filter
α-β filter
estimating the quality of filtering
security system
url https://www.rtj-mirea.ru/jour/article/view/83
work_keys_str_mv AT bazaikin linearfilteringofoutputdataofasinglepositionsecuritysystem