Exact Cramer Rao Bound for near field source localization
In this paper, we derive the conditional Cramer Rao Bound (CRB) for near field source localization using the exact expression of the time delay parameter. Based on this derivation, several observations and comments are made: (i) The exact CRB allows us to analyze the effect of the near field assumpt...
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creator | Begriche, Y. Thameri, M. Abed-Meraim, K. |
description | In this paper, we derive the conditional Cramer Rao Bound (CRB) for near field source localization using the exact expression of the time delay parameter. Based on this derivation, several observations and comments are made: (i) The exact CRB allows us to analyze the effect of the near field assumption on the angle of arrival estimation performance, (ii) the second order Taylor expansion of the exact CRB is shown to be different from the CRB given by El Korso et al for an approximate time delay parameter (i.e approximate model), and (iii) we show how the exact CRB can be used to define the `near field localization region' based on a target localization performance. Simulation experiments are provided to better illustrate our different results and observations. |
doi_str_mv | 10.1109/ISSPA.2012.6310646 |
format | Conference Proceeding |
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Based on this derivation, several observations and comments are made: (i) The exact CRB allows us to analyze the effect of the near field assumption on the angle of arrival estimation performance, (ii) the second order Taylor expansion of the exact CRB is shown to be different from the CRB given by El Korso et al for an approximate time delay parameter (i.e approximate model), and (iii) we show how the exact CRB can be used to define the `near field localization region' based on a target localization performance. 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Based on this derivation, several observations and comments are made: (i) The exact CRB allows us to analyze the effect of the near field assumption on the angle of arrival estimation performance, (ii) the second order Taylor expansion of the exact CRB is shown to be different from the CRB given by El Korso et al for an approximate time delay parameter (i.e approximate model), and (iii) we show how the exact CRB can be used to define the `near field localization region' based on a target localization performance. Simulation experiments are provided to better illustrate our different results and observations.</description><subject>Analytical models</subject><subject>Approximation methods</subject><subject>Cramer-Rao bounds</subject><subject>CRB</subject><subject>Data models</subject><subject>Delay effects</subject><subject>Near field</subject><subject>Source localization</subject><subject>Taylor series</subject><isbn>9781467303811</isbn><isbn>146730381X</isbn><isbn>9781467303804</isbn><isbn>1467303801</isbn><isbn>1467303828</isbn><isbn>9781467303828</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2012</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpVj1FLwzAUhSMiKLN_QF_yB1pzk7RNHmeZOhgobu_jprmBSNdI2oH66x24F8_L4Xs5fIexOxAVgLAP6-32bVlJAbJqFIhGNxessK0B3bRKKCP05T8GuGbFNH2IUwwYLcwNs6sv7GfeZTxQ5u-Y-GM6jp6HlPlImHmINHg-pWPuiQ-pxyH-4BzTeMuuAg4TFedesN3Tate9lJvX53W33JTRirn0KgQjg3PWOEJFtZME2PrG1yAtYqhb9F7XaGQbnA9a4knXCqtD7zUFtWD3f7ORiPafOR4wf-_Pf9UvHdhJeA</recordid><startdate>201207</startdate><enddate>201207</enddate><creator>Begriche, Y.</creator><creator>Thameri, M.</creator><creator>Abed-Meraim, K.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201207</creationdate><title>Exact Cramer Rao Bound for near field source localization</title><author>Begriche, Y. ; Thameri, M. ; Abed-Meraim, K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-d3ff82fbb98bea3e5b2e1a7d6d5129aaf57add45a827fbdf42a1469094fcd4ef3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Analytical models</topic><topic>Approximation methods</topic><topic>Cramer-Rao bounds</topic><topic>CRB</topic><topic>Data models</topic><topic>Delay effects</topic><topic>Near field</topic><topic>Source localization</topic><topic>Taylor series</topic><toplevel>online_resources</toplevel><creatorcontrib>Begriche, Y.</creatorcontrib><creatorcontrib>Thameri, M.</creatorcontrib><creatorcontrib>Abed-Meraim, K.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Begriche, Y.</au><au>Thameri, M.</au><au>Abed-Meraim, K.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Exact Cramer Rao Bound for near field source localization</atitle><btitle>2012 11th International Conference on Information Science, Signal Processing and their Applications (ISSPA)</btitle><stitle>ISSPA</stitle><date>2012-07</date><risdate>2012</risdate><spage>718</spage><epage>721</epage><pages>718-721</pages><isbn>9781467303811</isbn><isbn>146730381X</isbn><eisbn>9781467303804</eisbn><eisbn>1467303801</eisbn><eisbn>1467303828</eisbn><eisbn>9781467303828</eisbn><abstract>In this paper, we derive the conditional Cramer Rao Bound (CRB) for near field source localization using the exact expression of the time delay parameter. Based on this derivation, several observations and comments are made: (i) The exact CRB allows us to analyze the effect of the near field assumption on the angle of arrival estimation performance, (ii) the second order Taylor expansion of the exact CRB is shown to be different from the CRB given by El Korso et al for an approximate time delay parameter (i.e approximate model), and (iii) we show how the exact CRB can be used to define the `near field localization region' based on a target localization performance. Simulation experiments are provided to better illustrate our different results and observations.</abstract><pub>IEEE</pub><doi>10.1109/ISSPA.2012.6310646</doi><tpages>4</tpages></addata></record> |
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subjects | Analytical models Approximation methods Cramer-Rao bounds CRB Data models Delay effects Near field Source localization Taylor series |
title | Exact Cramer Rao Bound for near field source localization |
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