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CramÉr-Rao Bound Analysis of Positioning Approaches in GNSS Receivers
Recently, direct position estimation (DPE) has arisen as a potential approach to deal with the positioning problem in global navigation satellite system receivers. The conventional navigation solution is obtained in two steps: synchronization parameters are estimated and then a trilateration procedu...
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| Published in: | IEEE transactions on signal processing 2009-10, Vol.57 (10), p.3775-3786 |
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| container_title | IEEE transactions on signal processing |
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| creator | Closas, P. Fernandez-Prades, C. Fernandez-Rubio, J.A. |
| description | Recently, direct position estimation (DPE) has arisen as a potential approach to deal with the positioning problem in global navigation satellite system receivers. The conventional navigation solution is obtained in two steps: synchronization parameters are estimated and then a trilateration procedure is in charge of computing user's position, based on those parameters. In contrast, DPE estimates receiver's position directly from digitized signal. DPE was seen to provide GNSS receivers with appealing capabilities, such as multipath mitigation. However, a theoretical bound for those estimates is still missing and the answer to ldquohow better can DPE perform compared to the conventional approach?rdquo has not been addressed in the literature. Aiming at clarifying those issues, this paper presents the derivation of the CramEacuter-Rao bound (CRB) of position for both conventional and DPE approaches. We present the derivation for a multiantenna receiver as a general case. In addition, a number of realistic scenarios are tested in order to compare the theoretical performance bounds of both alternatives and the actual root mean squared error performance of the corresponding maximum likelihood estimator. |
| doi_str_mv | 10.1109/TSP.2009.2025083 |
| format | article |
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The conventional navigation solution is obtained in two steps: synchronization parameters are estimated and then a trilateration procedure is in charge of computing user's position, based on those parameters. In contrast, DPE estimates receiver's position directly from digitized signal. DPE was seen to provide GNSS receivers with appealing capabilities, such as multipath mitigation. However, a theoretical bound for those estimates is still missing and the answer to ldquohow better can DPE perform compared to the conventional approach?rdquo has not been addressed in the literature. Aiming at clarifying those issues, this paper presents the derivation of the CramEacuter-Rao bound (CRB) of position for both conventional and DPE approaches. We present the derivation for a multiantenna receiver as a general case. In addition, a number of realistic scenarios are tested in order to compare the theoretical performance bounds of both alternatives and the actual root mean squared error performance of the corresponding maximum likelihood estimator.</description><identifier>ISSN: 1053-587X</identifier><identifier>EISSN: 1941-0476</identifier><identifier>DOI: 10.1109/TSP.2009.2025083</identifier><identifier>CODEN: ITPRED</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; CramÉr-Rao bound (CRB) ; Detection, estimation, filtering, equalization, prediction ; Economic models ; Exact sciences and technology ; Global Positioning System ; Information, signal and communications theory ; Maximum likelihood estimation ; Miscellaneous ; Multipath channels ; Parameter estimation ; Position measurement ; Receivers ; Satellite broadcasting ; Satellite navigation systems ; Signal and communications theory ; Signal processing ; Signal, noise ; Studies ; Telecommunications ; Telecommunications and information theory ; Testing</subject><ispartof>IEEE transactions on signal processing, 2009-10, Vol.57 (10), p.3775-3786</ispartof><rights>2009 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c351t-379efdf466dbd90224ac5de2ecc9e9b5bc86c1d5e99c1640de5f16f0decc31f83</citedby><cites>FETCH-LOGICAL-c351t-379efdf466dbd90224ac5de2ecc9e9b5bc86c1d5e99c1640de5f16f0decc31f83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5071218$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>315,786,790,27957,27958,55147</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21960561$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Closas, P.</creatorcontrib><creatorcontrib>Fernandez-Prades, C.</creatorcontrib><creatorcontrib>Fernandez-Rubio, J.A.</creatorcontrib><title>CramÉr-Rao Bound Analysis of Positioning Approaches in GNSS Receivers</title><title>IEEE transactions on signal processing</title><addtitle>TSP</addtitle><description>Recently, direct position estimation (DPE) has arisen as a potential approach to deal with the positioning problem in global navigation satellite system receivers. The conventional navigation solution is obtained in two steps: synchronization parameters are estimated and then a trilateration procedure is in charge of computing user's position, based on those parameters. In contrast, DPE estimates receiver's position directly from digitized signal. DPE was seen to provide GNSS receivers with appealing capabilities, such as multipath mitigation. However, a theoretical bound for those estimates is still missing and the answer to ldquohow better can DPE perform compared to the conventional approach?rdquo has not been addressed in the literature. Aiming at clarifying those issues, this paper presents the derivation of the CramEacuter-Rao bound (CRB) of position for both conventional and DPE approaches. We present the derivation for a multiantenna receiver as a general case. In addition, a number of realistic scenarios are tested in order to compare the theoretical performance bounds of both alternatives and the actual root mean squared error performance of the corresponding maximum likelihood estimator.</description><subject>Applied sciences</subject><subject>CramÉr-Rao bound (CRB)</subject><subject>Detection, estimation, filtering, equalization, prediction</subject><subject>Economic models</subject><subject>Exact sciences and technology</subject><subject>Global Positioning System</subject><subject>Information, signal and communications theory</subject><subject>Maximum likelihood estimation</subject><subject>Miscellaneous</subject><subject>Multipath channels</subject><subject>Parameter estimation</subject><subject>Position measurement</subject><subject>Receivers</subject><subject>Satellite broadcasting</subject><subject>Satellite navigation systems</subject><subject>Signal and communications theory</subject><subject>Signal processing</subject><subject>Signal, noise</subject><subject>Studies</subject><subject>Telecommunications</subject><subject>Telecommunications and information theory</subject><subject>Testing</subject><issn>1053-587X</issn><issn>1941-0476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNpdkMFKAzEQhhdRUKt3wUsQ9Laa2Wyym2MtVoWipVXwFtLsRCPbTU1awUfwuXwxU1o8eJkZmO__mfmz7AToJQCVV0_T8WVBqUyl4LRmO9kByBJyWlZiN82Us5zX1ct-dhjjO6VQllIcZMNB0POf75BPtCfXftU1pN_p9iu6SLwlYx_d0vnOda-kv1gEr80bRuI6cvswnZIJGnSfGOJRtmd1G_F423vZ8_DmaXCXjx5v7wf9UW4Yh2XOKom2saUQzayRtChKbXiDBRojUc74zNTCQMNRSgOipA1yC8KmbgwDW7NedrHxTad8rDAu1dxFg22rO_SrqFh6quRCJvDsH_juVyF9FlUtABgT1RqiG8gEH2NAqxbBzXX4UkDVOlWVUlXrVNU21SQ53_rqaHRrg-6Mi3-6AqSgXEDiTjecQ8S_NacVFFCzXzpEgFk</recordid><startdate>20091001</startdate><enddate>20091001</enddate><creator>Closas, P.</creator><creator>Fernandez-Prades, C.</creator><creator>Fernandez-Rubio, J.A.</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>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20091001</creationdate><title>CramÉr-Rao Bound Analysis of Positioning Approaches in GNSS Receivers</title><author>Closas, P. ; Fernandez-Prades, C. ; Fernandez-Rubio, J.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c351t-379efdf466dbd90224ac5de2ecc9e9b5bc86c1d5e99c1640de5f16f0decc31f83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applied sciences</topic><topic>CramÉr-Rao bound (CRB)</topic><topic>Detection, estimation, filtering, equalization, prediction</topic><topic>Economic models</topic><topic>Exact sciences and technology</topic><topic>Global Positioning System</topic><topic>Information, signal and communications theory</topic><topic>Maximum likelihood estimation</topic><topic>Miscellaneous</topic><topic>Multipath channels</topic><topic>Parameter estimation</topic><topic>Position measurement</topic><topic>Receivers</topic><topic>Satellite broadcasting</topic><topic>Satellite navigation systems</topic><topic>Signal and communications theory</topic><topic>Signal processing</topic><topic>Signal, noise</topic><topic>Studies</topic><topic>Telecommunications</topic><topic>Telecommunications and information theory</topic><topic>Testing</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Closas, P.</creatorcontrib><creatorcontrib>Fernandez-Prades, C.</creatorcontrib><creatorcontrib>Fernandez-Rubio, J.A.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998–Present</collection><collection>IEEE Xplore</collection><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><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Closas, P.</au><au>Fernandez-Prades, C.</au><au>Fernandez-Rubio, J.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>CramÉr-Rao Bound Analysis of Positioning Approaches in GNSS Receivers</atitle><jtitle>IEEE transactions on signal processing</jtitle><stitle>TSP</stitle><date>2009-10-01</date><risdate>2009</risdate><volume>57</volume><issue>10</issue><spage>3775</spage><epage>3786</epage><pages>3775-3786</pages><issn>1053-587X</issn><eissn>1941-0476</eissn><coden>ITPRED</coden><notes>ObjectType-Article-2</notes><notes>SourceType-Scholarly Journals-1</notes><notes>ObjectType-Feature-1</notes><notes>content type line 23</notes><abstract>Recently, direct position estimation (DPE) has arisen as a potential approach to deal with the positioning problem in global navigation satellite system receivers. The conventional navigation solution is obtained in two steps: synchronization parameters are estimated and then a trilateration procedure is in charge of computing user's position, based on those parameters. In contrast, DPE estimates receiver's position directly from digitized signal. DPE was seen to provide GNSS receivers with appealing capabilities, such as multipath mitigation. However, a theoretical bound for those estimates is still missing and the answer to ldquohow better can DPE perform compared to the conventional approach?rdquo has not been addressed in the literature. Aiming at clarifying those issues, this paper presents the derivation of the CramEacuter-Rao bound (CRB) of position for both conventional and DPE approaches. We present the derivation for a multiantenna receiver as a general case. In addition, a number of realistic scenarios are tested in order to compare the theoretical performance bounds of both alternatives and the actual root mean squared error performance of the corresponding maximum likelihood estimator.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TSP.2009.2025083</doi><tpages>12</tpages></addata></record> |
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| subjects | Applied sciences CramÉr-Rao bound (CRB) Detection, estimation, filtering, equalization, prediction Economic models Exact sciences and technology Global Positioning System Information, signal and communications theory Maximum likelihood estimation Miscellaneous Multipath channels Parameter estimation Position measurement Receivers Satellite broadcasting Satellite navigation systems Signal and communications theory Signal processing Signal, noise Studies Telecommunications Telecommunications and information theory Testing |
| title | CramÉr-Rao Bound Analysis of Positioning Approaches in GNSS Receivers |
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