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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Main Authors: Hong-yu WANG, Tian-shuang QIU
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2016-10-01
Series:Tongxin xuebao
Subjects:
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
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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