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An Intrinsic McAulay-Seidman Bound for Parameters Evolving on Matrix Lie Groups

Labsir, Samy and Medina, Daniel and Vilà-Valls, Jordi and 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, Pacific Grove, California, USA. doi: 10.1109/IEEECONF56349.2022.10051899. ISBN 978-166545906-8. ISSN 1058-6393.

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Official URL: https://ieeexplore.ieee.org/abstract/document/10051899

Abstract

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.

Item URL in elib:https://elib.dlr.de/201408/
Document Type:Conference or Workshop Item (Lecture)
Title:An Intrinsic McAulay-Seidman Bound for Parameters Evolving on Matrix Lie Groups
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Labsir, SamyUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Medina, DanielUNSPECIFIEDhttps://orcid.org/0000-0002-1586-3269UNSPECIFIED
Vilà-Valls, JordiUNSPECIFIEDhttps://orcid.org/0000-0001-7858-4171UNSPECIFIED
Chaumette, EricUNSPECIFIEDhttps://orcid.org/0000-0002-7029-3019UNSPECIFIED
Date:October 2022
Journal or Publication Title:56th Asilomar Conference on Signals, Systems and Computers, ACSSC 2022
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
DOI:10.1109/IEEECONF56349.2022.10051899
Publisher:IEEE
Series Name:Conference Record - Asilomar Conference on Signals, Systems and Computers
ISSN:1058-6393
ISBN:978-166545906-8
Status:Published
Keywords:CRB; SO(3); Intrinsic Bounds; Lie Groups
Event Title:2022 56th Asilomar Conference on Signals, Systems, and Computers
Event Location:Pacific Grove, California, USA
Event Type:international Conference
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Transport System
DLR - Research area:Transport
DLR - Program:V VS - Verkehrssystem
DLR - Research theme (Project):V - FuturePorts, R - Project HIGAIN [KNQ]
Location: Neustrelitz
Institutes and Institutions:Institute of Communication and Navigation > Nautical Systems
Deposited By: Medina, Daniel
Deposited On:21 Dec 2023 11:50
Last Modified:04 Jan 2024 13:47

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