Unified study on the decomposition for deterministic signals and stationary random signals
The unified decomposition theories and methods for deterministic signals and stationary random signals were deeply studied.According to the stability theory of linear systems,the unified results of signal decomposition under both regular stable and boundary stable conditions were given respectively....
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Format: | Article |
Language: | zho |
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Editorial Department of Journal on Communications
2016-10-01
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Series: | Tongxin xuebao |
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Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016189/ |
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author | Hong-yu WANG Tian-shuang QIU |
author_facet | Hong-yu WANG Tian-shuang QIU |
author_sort | Hong-yu WANG |
collection | DOAJ |
description | The unified decomposition theories and methods for deterministic signals and stationary random signals were deeply studied.According to the stability theory of linear systems,the unified results of signal decomposition under both regular stable and boundary stable conditions were given respectively.The unified results of signal decomposition under both orthogonal projection and self projection conditions were also provided based on the linear space projection theory.The former is clear and definite in its physical meaning,and the latter is clear in its mathematical and geometrical meanings.They are both complement with each other. |
format | Article |
id | doaj-art-55373df447614ec696df38538da37d82 |
institution | Kabale University |
issn | 1000-436X |
language | zho |
publishDate | 2016-10-01 |
publisher | Editorial Department of Journal on Communications |
record_format | Article |
series | Tongxin xuebao |
spelling | doaj-art-55373df447614ec696df38538da37d822025-01-14T06:56:05ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2016-10-01371859703783Unified study on the decomposition for deterministic signals and stationary random signalsHong-yu WANGTian-shuang QIUThe unified decomposition theories and methods for deterministic signals and stationary random signals were deeply studied.According to the stability theory of linear systems,the unified results of signal decomposition under both regular stable and boundary stable conditions were given respectively.The unified results of signal decomposition under both orthogonal projection and self projection conditions were also provided based on the linear space projection theory.The former is clear and definite in its physical meaning,and the latter is clear in its mathematical and geometrical meanings.They are both complement with each other.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016189/signal decompositionlinear systemregular stabilityboundary stabilitylinear spaceorthogonal projectionself projection |
spellingShingle | Hong-yu WANG Tian-shuang QIU Unified study on the decomposition for deterministic signals and stationary random signals Tongxin xuebao signal decomposition linear system regular stability boundary stability linear space orthogonal projection self projection |
title | Unified study on the decomposition for deterministic signals and stationary random signals |
title_full | Unified study on the decomposition for deterministic signals and stationary random signals |
title_fullStr | Unified study on the decomposition for deterministic signals and stationary random signals |
title_full_unstemmed | Unified study on the decomposition for deterministic signals and stationary random signals |
title_short | Unified study on the decomposition for deterministic signals and stationary random signals |
title_sort | unified study on the decomposition for deterministic signals and stationary random signals |
topic | signal decomposition linear system regular stability boundary stability linear space orthogonal projection self projection |
url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016189/ |
work_keys_str_mv | AT hongyuwang unifiedstudyonthedecompositionfordeterministicsignalsandstationaryrandomsignals AT tianshuangqiu unifiedstudyonthedecompositionfordeterministicsignalsandstationaryrandomsignals |