Distributed target detection in subspace interference plus Gaussian noise
In this paper, the problem of detecting distributed targets in the presence of subspace interference and Gaussian noise is addressed. The subspace interference signals are modeled as linear combinations of the linearly independent columns of a known subspace matrix. Two kinds of distributed matched...
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| Veröffentlicht in: | Signal processing 2014-02, Vol.95, p.88-100 |
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| creator | Liu, Jun Zhang, Zi-Jing Cao, Yunhe Wang, Min |
| description | In this paper, the problem of detecting distributed targets in the presence of subspace interference and Gaussian noise is addressed. The subspace interference signals are modeled as linear combinations of the linearly independent columns of a known subspace matrix. Two kinds of distributed matched subspace detectors are derived to handle this detection problem. The first kind of distributed matched subspace detector referred to as I-DMSD is obtained on the assumption of known noise power level. The other one referred to as II-DMSD is developed on the basis of unknown noise power level. Expressions for the probabilities of false alarm and detection of the I-DMSD and II-DMSD for unfluctuating and fluctuating target models are derived, which are confirmed with Monte Carlo simulations. Numerical simulations are conducted to illustrate the detection performance of the two detectors. It is demonstrated that both detectors ensure a constant false alarm rate (CFAR) property against the interference, and the II-DMSD also exhibits the CFAR property with respect to the noise power level.
•We handle the problems of detecting distributed targets in subspace interference plus Gaussian noise with known and unknown power levels.•Two detectors are developed.•Close-form expressions for the probabilities of false alarm and detection of the two detectors are derived. |
| doi_str_mv | 10.1016/j.sigpro.2013.08.012 |
| format | Article |
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•We handle the problems of detecting distributed targets in subspace interference plus Gaussian noise with known and unknown power levels.•Two detectors are developed.•Close-form expressions for the probabilities of false alarm and detection of the two detectors are derived.</description><identifier>ISSN: 0165-1684</identifier><identifier>EISSN: 1872-7557</identifier><identifier>DOI: 10.1016/j.sigpro.2013.08.012</identifier><identifier>CODEN: SPRODR</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Adaptive subspace detector ; Applied sciences ; Computer simulation ; Constant false alarm rate ; Detection, estimation, filtering, equalization, prediction ; Detectors ; Distributed target ; Exact sciences and technology ; Extended target ; Gaussian ; Information, signal and communications theory ; Interference ; Matched subspace detector ; Mathematical models ; Noise ; Signal and communications theory ; Signal, noise ; Subspace interference ; Subspaces ; Target detection ; Telecommunications and information theory</subject><ispartof>Signal processing, 2014-02, Vol.95, p.88-100</ispartof><rights>2013 Elsevier B.V.</rights><rights>2014 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c369t-fd0f30de405c314e6c5d53ea6f18a91a6542c94fdd4d0be81ac70944a718a23c3</citedby><cites>FETCH-LOGICAL-c369t-fd0f30de405c314e6c5d53ea6f18a91a6542c94fdd4d0be81ac70944a718a23c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.sigpro.2013.08.012$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,778,782,3539,27907,27908,45978</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=27875039$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Liu, Jun</creatorcontrib><creatorcontrib>Zhang, Zi-Jing</creatorcontrib><creatorcontrib>Cao, Yunhe</creatorcontrib><creatorcontrib>Wang, Min</creatorcontrib><title>Distributed target detection in subspace interference plus Gaussian noise</title><title>Signal processing</title><description>In this paper, the problem of detecting distributed targets in the presence of subspace interference and Gaussian noise is addressed. The subspace interference signals are modeled as linear combinations of the linearly independent columns of a known subspace matrix. Two kinds of distributed matched subspace detectors are derived to handle this detection problem. The first kind of distributed matched subspace detector referred to as I-DMSD is obtained on the assumption of known noise power level. The other one referred to as II-DMSD is developed on the basis of unknown noise power level. Expressions for the probabilities of false alarm and detection of the I-DMSD and II-DMSD for unfluctuating and fluctuating target models are derived, which are confirmed with Monte Carlo simulations. Numerical simulations are conducted to illustrate the detection performance of the two detectors. It is demonstrated that both detectors ensure a constant false alarm rate (CFAR) property against the interference, and the II-DMSD also exhibits the CFAR property with respect to the noise power level.
•We handle the problems of detecting distributed targets in subspace interference plus Gaussian noise with known and unknown power levels.•Two detectors are developed.•Close-form expressions for the probabilities of false alarm and detection of the two detectors are derived.</description><subject>Adaptive subspace detector</subject><subject>Applied sciences</subject><subject>Computer simulation</subject><subject>Constant false alarm rate</subject><subject>Detection, estimation, filtering, equalization, prediction</subject><subject>Detectors</subject><subject>Distributed target</subject><subject>Exact sciences and technology</subject><subject>Extended target</subject><subject>Gaussian</subject><subject>Information, signal and communications theory</subject><subject>Interference</subject><subject>Matched subspace detector</subject><subject>Mathematical models</subject><subject>Noise</subject><subject>Signal and communications theory</subject><subject>Signal, noise</subject><subject>Subspace interference</subject><subject>Subspaces</subject><subject>Target detection</subject><subject>Telecommunications and information theory</subject><issn>0165-1684</issn><issn>1872-7557</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEQgIMoWB__wMNeBC-7TjbJPi6CVK2Fghc9hzSZLSnb3ZrJCv57UyoePc0M880M8zF2w6HgwKv7bUF-sw9jUQIXBTQF8PKEzXhTl3mtVH3KZglTOa8aec4uiLYAiaxgxpZPnmLw6ymiy6IJG4yZw4g2-nHI_JDRtKa9sZjyiKHDgEMq9v1E2cJMRN4M2TB6wit21pme8Po3XrKPl-f3-Wu-elss54-r3IqqjXnnoBPgUIKygkusrHJKoKk63piWm0rJ0rayc046WGPDja2hldLUqV8KKy7Z3XFvevhzQop658li35sBx4k0V4IDVHXZJFQeURtGooCd3ge_M-Fbc9AHc3qrj-b0wZyGRidzaez294Iha_oumMF6-pst66ZWINrEPRw5TO9-eQyarD_ocT4kgdqN_v9DPxRohvw</recordid><startdate>20140201</startdate><enddate>20140201</enddate><creator>Liu, Jun</creator><creator>Zhang, Zi-Jing</creator><creator>Cao, Yunhe</creator><creator>Wang, Min</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20140201</creationdate><title>Distributed target detection in subspace interference plus Gaussian noise</title><author>Liu, Jun ; Zhang, Zi-Jing ; Cao, Yunhe ; Wang, Min</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c369t-fd0f30de405c314e6c5d53ea6f18a91a6542c94fdd4d0be81ac70944a718a23c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Adaptive subspace detector</topic><topic>Applied sciences</topic><topic>Computer simulation</topic><topic>Constant false alarm rate</topic><topic>Detection, estimation, filtering, equalization, prediction</topic><topic>Detectors</topic><topic>Distributed target</topic><topic>Exact sciences and technology</topic><topic>Extended target</topic><topic>Gaussian</topic><topic>Information, signal and communications theory</topic><topic>Interference</topic><topic>Matched subspace detector</topic><topic>Mathematical models</topic><topic>Noise</topic><topic>Signal and communications theory</topic><topic>Signal, noise</topic><topic>Subspace interference</topic><topic>Subspaces</topic><topic>Target detection</topic><topic>Telecommunications and information theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Jun</creatorcontrib><creatorcontrib>Zhang, Zi-Jing</creatorcontrib><creatorcontrib>Cao, Yunhe</creatorcontrib><creatorcontrib>Wang, Min</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Jun</au><au>Zhang, Zi-Jing</au><au>Cao, Yunhe</au><au>Wang, Min</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Distributed target detection in subspace interference plus Gaussian noise</atitle><jtitle>Signal processing</jtitle><date>2014-02-01</date><risdate>2014</risdate><volume>95</volume><spage>88</spage><epage>100</epage><pages>88-100</pages><issn>0165-1684</issn><eissn>1872-7557</eissn><coden>SPRODR</coden><abstract>In this paper, the problem of detecting distributed targets in the presence of subspace interference and Gaussian noise is addressed. The subspace interference signals are modeled as linear combinations of the linearly independent columns of a known subspace matrix. Two kinds of distributed matched subspace detectors are derived to handle this detection problem. The first kind of distributed matched subspace detector referred to as I-DMSD is obtained on the assumption of known noise power level. The other one referred to as II-DMSD is developed on the basis of unknown noise power level. Expressions for the probabilities of false alarm and detection of the I-DMSD and II-DMSD for unfluctuating and fluctuating target models are derived, which are confirmed with Monte Carlo simulations. Numerical simulations are conducted to illustrate the detection performance of the two detectors. It is demonstrated that both detectors ensure a constant false alarm rate (CFAR) property against the interference, and the II-DMSD also exhibits the CFAR property with respect to the noise power level.
•We handle the problems of detecting distributed targets in subspace interference plus Gaussian noise with known and unknown power levels.•Two detectors are developed.•Close-form expressions for the probabilities of false alarm and detection of the two detectors are derived.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.sigpro.2013.08.012</doi><tpages>13</tpages></addata></record> |
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| subjects | Adaptive subspace detector Applied sciences Computer simulation Constant false alarm rate Detection, estimation, filtering, equalization, prediction Detectors Distributed target Exact sciences and technology Extended target Gaussian Information, signal and communications theory Interference Matched subspace detector Mathematical models Noise Signal and communications theory Signal, noise Subspace interference Subspaces Target detection Telecommunications and information theory |
| title | Distributed target detection in subspace interference plus Gaussian noise |
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