Closed Form Expressions for Detection Threshold and Sample Size for Spectrum Sensing Considering Instantaneously Non-Identically Distributed Samples
This letter proposes a spectrum sensing method based on the likelihood ratio test (LRT) considering instantaneously non-identically distributed samples and assuming that the distribution of a test statistic varies in every acquired sample. Since, in reality, it is impossible to perform the ideal LRT...
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Veröffentlicht in: | IEEE communications letters 2014-02, Vol.18 (2), p.233-236 |
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description | This letter proposes a spectrum sensing method based on the likelihood ratio test (LRT) considering instantaneously non-identically distributed samples and assuming that the distribution of a test statistic varies in every acquired sample. Since, in reality, it is impossible to perform the ideal LRT that fully reflects such a change of a sample statistic, we propose a practical sensing method that optimally approximates the ideal log-likelihood ratio (LLR) with respect to its statistical mean. In both the ideal LRT and the proposed practical LRT, we finally derive closed form expressions for the detection threshold value and the sample size that are essential design parameters to guarantee predefined false alarm and missed detection constraints. |
doi_str_mv | 10.1109/LCOMM.2013.112713.131925 |
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Since, in reality, it is impossible to perform the ideal LRT that fully reflects such a change of a sample statistic, we propose a practical sensing method that optimally approximates the ideal log-likelihood ratio (LLR) with respect to its statistical mean. In both the ideal LRT and the proposed practical LRT, we finally derive closed form expressions for the detection threshold value and the sample size that are essential design parameters to guarantee predefined false alarm and missed detection constraints.</description><identifier>ISSN: 1089-7798</identifier><identifier>EISSN: 1558-2558</identifier><identifier>DOI: 10.1109/LCOMM.2013.112713.131925</identifier><identifier>CODEN: ICLEF6</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Closed-form solutions ; Cognitive radio ; energy detection ; Exact sciences and technology ; Information, signal and communications theory ; log-likelihood ratio test ; Noise ; OFDM ; Radiocommunication specific techniques ; Radiocommunications ; Random variables ; Reactive power ; Sensors ; Signal and communications theory ; Signal representation. Spectral analysis ; Signal, noise ; spectrum sensing ; Telecommunications ; Telecommunications and information theory</subject><ispartof>IEEE communications letters, 2014-02, Vol.18 (2), p.233-236</ispartof><rights>2015 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Feb 2014</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c337t-e54761ced3077f716e0d66fbcfdd289e93e5ebc8591345a44801c97c73ff13f93</citedby><cites>FETCH-LOGICAL-c337t-e54761ced3077f716e0d66fbcfdd289e93e5ebc8591345a44801c97c73ff13f93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6682633$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6682633$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=28402620$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>CHO, Yeon-Jea</creatorcontrib><creatorcontrib>PARK, Dong-Jo</creatorcontrib><title>Closed Form Expressions for Detection Threshold and Sample Size for Spectrum Sensing Considering Instantaneously Non-Identically Distributed Samples</title><title>IEEE communications letters</title><addtitle>COML</addtitle><description>This letter proposes a spectrum sensing method based on the likelihood ratio test (LRT) considering instantaneously non-identically distributed samples and assuming that the distribution of a test statistic varies in every acquired sample. Since, in reality, it is impossible to perform the ideal LRT that fully reflects such a change of a sample statistic, we propose a practical sensing method that optimally approximates the ideal log-likelihood ratio (LLR) with respect to its statistical mean. In both the ideal LRT and the proposed practical LRT, we finally derive closed form expressions for the detection threshold value and the sample size that are essential design parameters to guarantee predefined false alarm and missed detection constraints.</description><subject>Applied sciences</subject><subject>Closed-form solutions</subject><subject>Cognitive radio</subject><subject>energy detection</subject><subject>Exact sciences and technology</subject><subject>Information, signal and communications theory</subject><subject>log-likelihood ratio test</subject><subject>Noise</subject><subject>OFDM</subject><subject>Radiocommunication specific techniques</subject><subject>Radiocommunications</subject><subject>Random variables</subject><subject>Reactive power</subject><subject>Sensors</subject><subject>Signal and communications theory</subject><subject>Signal representation. Spectral analysis</subject><subject>Signal, noise</subject><subject>spectrum sensing</subject><subject>Telecommunications</subject><subject>Telecommunications and information theory</subject><issn>1089-7798</issn><issn>1558-2558</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kdtq3DAQhk1poWnaJ-iNoPTSqQ7W6bI4SbuwSS42vRZeadQoeCVXsiHpc_SBq42TgNDMMN_8w_A3DSL4jBCsv237m6urM4oJqzWVx8CIpvxNc0I4Vy2t39uaY6VbKbV633wo5R5jrCgnJ82_fkwFHLpM-YAuHqYMpYQUC_Ipo3OYwc61RLd3tXGXRoeG6NBuOEwjoF34C0_cbqpYXg5oB7GE-Bv1VSE4yMd8E8s8xPogLWV8RNcpthsHcQ52GGt9Hsqcw36Z4UW4fGze-WEs8Ok5nja_Li9u-5_t9ubHpv--bS1jcm6Bd1IQC45hKb0kArATwu-td44qDZoBh71VXBPW8aHrFCZWSyuZ94R5zU6bL6vulNOfBcps7tOSY11pCMecEC04qZRaKZtTKRm8mXI4DPnREGyOHpgnD8zRA7N6YFYP6ujX5wVDqdf6PEQbyus8VR2mguLKfV65AACvbSEUFYyx_zPXk3E</recordid><startdate>20140201</startdate><enddate>20140201</enddate><creator>CHO, Yeon-Jea</creator><creator>PARK, Dong-Jo</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20140201</creationdate><title>Closed Form Expressions for Detection Threshold and Sample Size for Spectrum Sensing Considering Instantaneously Non-Identically Distributed Samples</title><author>CHO, Yeon-Jea ; PARK, Dong-Jo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c337t-e54761ced3077f716e0d66fbcfdd289e93e5ebc8591345a44801c97c73ff13f93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Applied sciences</topic><topic>Closed-form solutions</topic><topic>Cognitive radio</topic><topic>energy detection</topic><topic>Exact sciences and technology</topic><topic>Information, signal and communications theory</topic><topic>log-likelihood ratio test</topic><topic>Noise</topic><topic>OFDM</topic><topic>Radiocommunication specific techniques</topic><topic>Radiocommunications</topic><topic>Random variables</topic><topic>Reactive power</topic><topic>Sensors</topic><topic>Signal and communications theory</topic><topic>Signal representation. Spectral analysis</topic><topic>Signal, noise</topic><topic>spectrum sensing</topic><topic>Telecommunications</topic><topic>Telecommunications and information theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>CHO, Yeon-Jea</creatorcontrib><creatorcontrib>PARK, Dong-Jo</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEEE communications letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>CHO, Yeon-Jea</au><au>PARK, Dong-Jo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Closed Form Expressions for Detection Threshold and Sample Size for Spectrum Sensing Considering Instantaneously Non-Identically Distributed Samples</atitle><jtitle>IEEE communications letters</jtitle><stitle>COML</stitle><date>2014-02-01</date><risdate>2014</risdate><volume>18</volume><issue>2</issue><spage>233</spage><epage>236</epage><pages>233-236</pages><issn>1089-7798</issn><eissn>1558-2558</eissn><coden>ICLEF6</coden><abstract>This letter proposes a spectrum sensing method based on the likelihood ratio test (LRT) considering instantaneously non-identically distributed samples and assuming that the distribution of a test statistic varies in every acquired sample. Since, in reality, it is impossible to perform the ideal LRT that fully reflects such a change of a sample statistic, we propose a practical sensing method that optimally approximates the ideal log-likelihood ratio (LLR) with respect to its statistical mean. In both the ideal LRT and the proposed practical LRT, we finally derive closed form expressions for the detection threshold value and the sample size that are essential design parameters to guarantee predefined false alarm and missed detection constraints.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/LCOMM.2013.112713.131925</doi><tpages>4</tpages></addata></record> |
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subjects | Applied sciences Closed-form solutions Cognitive radio energy detection Exact sciences and technology Information, signal and communications theory log-likelihood ratio test Noise OFDM Radiocommunication specific techniques Radiocommunications Random variables Reactive power Sensors Signal and communications theory Signal representation. Spectral analysis Signal, noise spectrum sensing Telecommunications Telecommunications and information theory |
title | Closed Form Expressions for Detection Threshold and Sample Size for Spectrum Sensing Considering Instantaneously Non-Identically Distributed Samples |
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