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Labsir, Samy und Medina, Daniel und Vilà-Valls, Jordi und Chaumette, Eric (2022) An Intrinsic McAulay-Seidman Bound for Parameters Evolving on Matrix Lie Groups. In: 56th Asilomar Conference on Signals, Systems and Computers, ACSSC 2022. IEEE. 2022 56th Asilomar Conference on Signals, Systems, and Computers, 2022-10-31 - 2022-11-02, Pacific Grove, California, USA. doi: 10.1109/IEEECONF56349.2022.10051899. ISBN 978-166545906-8. ISSN 1058-6393.
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Offizielle URL: https://ieeexplore.ieee.org/abstract/document/10051899
Kurzfassung
Lower bounds on the mean square error (MSE) are of fundamental importance to know the ultimate achievable estimation performance of any unbiased estimator. Even if the Cramér-Rao bound (CRB) is the most popular one, mainly due to its simplicity of calculation, other bounds are of interest in several applications. In this communication, we derive a new intrinsic McAulay-Seidman bound (IMSB) for the estimation of unknown deterministic parameters lying on Lie groups, which generalize known results on the intrinsic CRB. The validity of the proposed IMSB is shown for the Gaussian observation model with unknown deterministic parameters belonging to SO(3) by comparing the IMSB with the intrinsic MSE.
| elib-URL des Eintrags: | https://elib.dlr.de/201408/ | ||||||||||||||||||||
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| Dokumentart: | Konferenzbeitrag (Vorlesung) | ||||||||||||||||||||
| Titel: | An Intrinsic McAulay-Seidman Bound for Parameters Evolving on Matrix Lie Groups | ||||||||||||||||||||
| Autoren: |
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| Datum: | Oktober 2022 | ||||||||||||||||||||
| Erschienen in: | 56th Asilomar Conference on Signals, Systems and Computers, ACSSC 2022 | ||||||||||||||||||||
| Referierte Publikation: | Ja | ||||||||||||||||||||
| Open Access: | Ja | ||||||||||||||||||||
| Gold Open Access: | Nein | ||||||||||||||||||||
| In SCOPUS: | Ja | ||||||||||||||||||||
| In ISI Web of Science: | Nein | ||||||||||||||||||||
| DOI: | 10.1109/IEEECONF56349.2022.10051899 | ||||||||||||||||||||
| Verlag: | IEEE | ||||||||||||||||||||
| Name der Reihe: | Conference Record - Asilomar Conference on Signals, Systems and Computers | ||||||||||||||||||||
| ISSN: | 1058-6393 | ||||||||||||||||||||
| ISBN: | 978-166545906-8 | ||||||||||||||||||||
| Status: | veröffentlicht | ||||||||||||||||||||
| Stichwörter: | CRB; SO(3); Intrinsic Bounds; Lie Groups | ||||||||||||||||||||
| Veranstaltungstitel: | 2022 56th Asilomar Conference on Signals, Systems, and Computers | ||||||||||||||||||||
| Veranstaltungsort: | Pacific Grove, California, USA | ||||||||||||||||||||
| Veranstaltungsart: | internationale Konferenz | ||||||||||||||||||||
| Veranstaltungsbeginn: | 31 Oktober 2022 | ||||||||||||||||||||
| Veranstaltungsende: | 2 November 2022 | ||||||||||||||||||||
| HGF - Forschungsbereich: | Luftfahrt, Raumfahrt und Verkehr | ||||||||||||||||||||
| HGF - Programm: | Verkehr | ||||||||||||||||||||
| HGF - Programmthema: | Verkehrssystem | ||||||||||||||||||||
| DLR - Schwerpunkt: | Verkehr | ||||||||||||||||||||
| DLR - Forschungsgebiet: | V VS - Verkehrssystem | ||||||||||||||||||||
| DLR - Teilgebiet (Projekt, Vorhaben): | V - FuturePorts, R - Projekt HIGAIN [KNQ] | ||||||||||||||||||||
| Standort: | Neustrelitz | ||||||||||||||||||||
| Institute & Einrichtungen: | Institut für Kommunikation und Navigation > Nautische Systeme | ||||||||||||||||||||
| Hinterlegt von: | Medina, Daniel | ||||||||||||||||||||
| Hinterlegt am: | 21 Dez 2023 11:50 | ||||||||||||||||||||
| Letzte Änderung: | 28 Mai 2024 10:32 |
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