PPP–RTK theory for varying transmitter frequencies with satellite and terrestrial positioning applications

In this contribution, we generalize PPP–RTK theory by allowing the transmitters to transmit on different frequencies. The generalization is based on the integer-estimability theory of Teunissen (A new GLONASS FDMA model. GPS Solutions, 2019). As the theory and associated algorithms provided are gene...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of geodesy 2022-11, Vol.96 (11), Article 84
Hauptverfasser: Teunissen, P. J. G., Khodabandeh, A.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 11
container_start_page
container_title Journal of geodesy
container_volume 96
creator Teunissen, P. J. G.
Khodabandeh, A.
description In this contribution, we generalize PPP–RTK theory by allowing the transmitters to transmit on different frequencies. The generalization is based on the integer-estimability theory of Teunissen (A new GLONASS FDMA model. GPS Solutions, 2019). As the theory and associated algorithms provided are generally applicable, they apply to satellite-based carrier-phase positioning as well as to terrestrial interferometric sensory networks. Based on an identification of the constraints imposed on the admissible ambiguity transformations by PPP–RTK, a fundamental network+user condition is found that determines whether PPP–RTK is possible or not. The discriminating contributions of both the network and user observation equations to this PPP–RTK condition are analysed, followed by a description of PPP–RTK enabling classes of measurement scenarios.
doi_str_mv 10.1007/s00190-022-01665-2
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2729057616</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2729057616</sourcerecordid><originalsourceid>FETCH-LOGICAL-c363t-632aad23ac7f667addaf6e074634ec81b4d14be6d5662f94865e3957d6dcdd53</originalsourceid><addsrcrecordid>eNp9kMtKAzEUhoMoWKsv4CrgOprbnHSWUrxhwSLdh3SSaVOmM2OSKu58B9_QJzF1BHeuwoHv_0_Oh9A5o5eMUnUVKWUlJZRzQhlAQfgBGjEpOGGilIdoREtZEqWYPEYnMW4yrooJjFAzn8-_Pj6fF484rV0X3nHdBfxqwrtvVzgF08atT8kFXAf3snNt5V3Ebz6tcTTJNY1PDpvW4owEF1PwpsF9F33yXbuvMH3f-Mrsx3iKjmrTRHf2-47R4vZmMb0ns6e7h-n1jFQCRCIguDGWC1OpGkAZa00NjioJQrpqwpbSMrl0YAsAXpdyAoUTZaEs2MraQozRxVDbhy5_OSa96XahzRs1V7ykhQIGmeIDVYUuxuBq3Qe_zYdrRvVeqh6k6ixV_0jVPIfEEIoZblcu_FX_k_oG9xh9xQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2729057616</pqid></control><display><type>article</type><title>PPP–RTK theory for varying transmitter frequencies with satellite and terrestrial positioning applications</title><source>SpringerLink Journals - AutoHoldings</source><creator>Teunissen, P. J. G. ; Khodabandeh, A.</creator><creatorcontrib>Teunissen, P. J. G. ; Khodabandeh, A.</creatorcontrib><description>In this contribution, we generalize PPP–RTK theory by allowing the transmitters to transmit on different frequencies. The generalization is based on the integer-estimability theory of Teunissen (A new GLONASS FDMA model. GPS Solutions, 2019). As the theory and associated algorithms provided are generally applicable, they apply to satellite-based carrier-phase positioning as well as to terrestrial interferometric sensory networks. Based on an identification of the constraints imposed on the admissible ambiguity transformations by PPP–RTK, a fundamental network+user condition is found that determines whether PPP–RTK is possible or not. The discriminating contributions of both the network and user observation equations to this PPP–RTK condition are analysed, followed by a description of PPP–RTK enabling classes of measurement scenarios.</description><identifier>ISSN: 0949-7714</identifier><identifier>EISSN: 1432-1394</identifier><identifier>DOI: 10.1007/s00190-022-01665-2</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algorithms ; Earth and Environmental Science ; Earth Sciences ; Geodetics ; Geophysics/Geodesy ; Global positioning systems ; GPS ; Original Article ; Satellites ; Theories</subject><ispartof>Journal of geodesy, 2022-11, Vol.96 (11), Article 84</ispartof><rights>The Author(s) 2022</rights><rights>The Author(s) 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-632aad23ac7f667addaf6e074634ec81b4d14be6d5662f94865e3957d6dcdd53</citedby><cites>FETCH-LOGICAL-c363t-632aad23ac7f667addaf6e074634ec81b4d14be6d5662f94865e3957d6dcdd53</cites><orcidid>0000-0002-5051-8233 ; 0000-0003-4143-6006</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00190-022-01665-2$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00190-022-01665-2$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Teunissen, P. J. G.</creatorcontrib><creatorcontrib>Khodabandeh, A.</creatorcontrib><title>PPP–RTK theory for varying transmitter frequencies with satellite and terrestrial positioning applications</title><title>Journal of geodesy</title><addtitle>J Geod</addtitle><description>In this contribution, we generalize PPP–RTK theory by allowing the transmitters to transmit on different frequencies. The generalization is based on the integer-estimability theory of Teunissen (A new GLONASS FDMA model. GPS Solutions, 2019). As the theory and associated algorithms provided are generally applicable, they apply to satellite-based carrier-phase positioning as well as to terrestrial interferometric sensory networks. Based on an identification of the constraints imposed on the admissible ambiguity transformations by PPP–RTK, a fundamental network+user condition is found that determines whether PPP–RTK is possible or not. The discriminating contributions of both the network and user observation equations to this PPP–RTK condition are analysed, followed by a description of PPP–RTK enabling classes of measurement scenarios.</description><subject>Algorithms</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Geodetics</subject><subject>Geophysics/Geodesy</subject><subject>Global positioning systems</subject><subject>GPS</subject><subject>Original Article</subject><subject>Satellites</subject><subject>Theories</subject><issn>0949-7714</issn><issn>1432-1394</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNp9kMtKAzEUhoMoWKsv4CrgOprbnHSWUrxhwSLdh3SSaVOmM2OSKu58B9_QJzF1BHeuwoHv_0_Oh9A5o5eMUnUVKWUlJZRzQhlAQfgBGjEpOGGilIdoREtZEqWYPEYnMW4yrooJjFAzn8-_Pj6fF484rV0X3nHdBfxqwrtvVzgF08atT8kFXAf3snNt5V3Ebz6tcTTJNY1PDpvW4owEF1PwpsF9F33yXbuvMH3f-Mrsx3iKjmrTRHf2-47R4vZmMb0ns6e7h-n1jFQCRCIguDGWC1OpGkAZa00NjioJQrpqwpbSMrl0YAsAXpdyAoUTZaEs2MraQozRxVDbhy5_OSa96XahzRs1V7ykhQIGmeIDVYUuxuBq3Qe_zYdrRvVeqh6k6ixV_0jVPIfEEIoZblcu_FX_k_oG9xh9xQ</recordid><startdate>20221101</startdate><enddate>20221101</enddate><creator>Teunissen, P. J. G.</creator><creator>Khodabandeh, A.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>7TN</scope><scope>F1W</scope><scope>H96</scope><scope>KL.</scope><scope>L.G</scope><orcidid>https://orcid.org/0000-0002-5051-8233</orcidid><orcidid>https://orcid.org/0000-0003-4143-6006</orcidid></search><sort><creationdate>20221101</creationdate><title>PPP–RTK theory for varying transmitter frequencies with satellite and terrestrial positioning applications</title><author>Teunissen, P. J. G. ; Khodabandeh, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-632aad23ac7f667addaf6e074634ec81b4d14be6d5662f94865e3957d6dcdd53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Algorithms</topic><topic>Earth and Environmental Science</topic><topic>Earth Sciences</topic><topic>Geodetics</topic><topic>Geophysics/Geodesy</topic><topic>Global positioning systems</topic><topic>GPS</topic><topic>Original Article</topic><topic>Satellites</topic><topic>Theories</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Teunissen, P. J. G.</creatorcontrib><creatorcontrib>Khodabandeh, A.</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>Meteorological &amp; Geoastrophysical Abstracts</collection><collection>Oceanic Abstracts</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science &amp; Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy &amp; Non-Living Resources</collection><collection>Meteorological &amp; Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science &amp; Fisheries Abstracts (ASFA) Professional</collection><jtitle>Journal of geodesy</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Teunissen, P. J. G.</au><au>Khodabandeh, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>PPP–RTK theory for varying transmitter frequencies with satellite and terrestrial positioning applications</atitle><jtitle>Journal of geodesy</jtitle><stitle>J Geod</stitle><date>2022-11-01</date><risdate>2022</risdate><volume>96</volume><issue>11</issue><artnum>84</artnum><issn>0949-7714</issn><eissn>1432-1394</eissn><abstract>In this contribution, we generalize PPP–RTK theory by allowing the transmitters to transmit on different frequencies. The generalization is based on the integer-estimability theory of Teunissen (A new GLONASS FDMA model. GPS Solutions, 2019). As the theory and associated algorithms provided are generally applicable, they apply to satellite-based carrier-phase positioning as well as to terrestrial interferometric sensory networks. Based on an identification of the constraints imposed on the admissible ambiguity transformations by PPP–RTK, a fundamental network+user condition is found that determines whether PPP–RTK is possible or not. The discriminating contributions of both the network and user observation equations to this PPP–RTK condition are analysed, followed by a description of PPP–RTK enabling classes of measurement scenarios.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00190-022-01665-2</doi><orcidid>https://orcid.org/0000-0002-5051-8233</orcidid><orcidid>https://orcid.org/0000-0003-4143-6006</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0949-7714
ispartof Journal of geodesy, 2022-11, Vol.96 (11), Article 84
issn 0949-7714
1432-1394
language eng
recordid cdi_proquest_journals_2729057616
source SpringerLink Journals - AutoHoldings
subjects Algorithms
Earth and Environmental Science
Earth Sciences
Geodetics
Geophysics/Geodesy
Global positioning systems
GPS
Original Article
Satellites
Theories
title PPP–RTK theory for varying transmitter frequencies with satellite and terrestrial positioning applications
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-11T12%3A06%3A38IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=PPP%E2%80%93RTK%20theory%20for%20varying%20transmitter%20frequencies%20with%20satellite%20and%20terrestrial%20positioning%20applications&rft.jtitle=Journal%20of%20geodesy&rft.au=Teunissen,%20P.%20J.%20G.&rft.date=2022-11-01&rft.volume=96&rft.issue=11&rft.artnum=84&rft.issn=0949-7714&rft.eissn=1432-1394&rft_id=info:doi/10.1007/s00190-022-01665-2&rft_dat=%3Cproquest_cross%3E2729057616%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2729057616&rft_id=info:pmid/&rfr_iscdi=true