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Calculating Lower Bounds within the PyTorch Framework

Grundhöfer, Lars and Rizzi, Filippo Giacomo and Meinert, Nis and Gewies, Stefan and Ziebold, Ralf (2022) Calculating Lower Bounds within the PyTorch Framework. In: 35th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS+ 2022. ION GNSS+ 2022, Denver, Colorado, US. doi: 10.33012/2022.18388. ISBN 978-171387136-1.

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Abstract

Lower estimation bounds are an important tool in the development of parametric estimators, which form a basis for a large number of navigation and position solutions. The well-known Cramér-Rao bound (CRB) is such a bound and provides the optimal mean squared error performance of locally unbiased estimators based on a signal model. If the model depends on a random variable, the bound depends on the realization of this variable. We consider the R-Mode navigation system as a case study in this paper. In this case, the signal is influenced by a modulated signal where, in general, the transmitted bit sequence is unknown. Therefore, it becomes difficult to derive and evaluate the performance bound as the complexity of the computation increases. To overcome the aforementioned challenge, we suggest utilizing PyTorch and its automatic differentiation framework to calculate the bound for each realization, thus leveraging fast calculation for each given scenario.

Item URL in elib:https://elib.dlr.de/189281/
Document Type:Conference or Workshop Item (Speech)
Title:Calculating Lower Bounds within the PyTorch Framework
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Grundhöfer, LarsUNSPECIFIEDhttps://orcid.org/0000-0002-8650-8280148183747
Rizzi, Filippo GiacomoUNSPECIFIEDhttps://orcid.org/0000-0003-0585-2133UNSPECIFIED
Meinert, NisCalculating Lower Bounds within the PyTorch FrameworkUNSPECIFIEDUNSPECIFIED
Gewies, StefanUNSPECIFIEDhttps://orcid.org/0000-0001-5549-8115UNSPECIFIED
Ziebold, RalfUNSPECIFIEDhttps://orcid.org/0000-0002-0488-6457UNSPECIFIED
Date:2022
Journal or Publication Title:35th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS+ 2022
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
DOI:10.33012/2022.18388
ISBN:978-171387136-1
Status:Published
Keywords:R-Mode,CRB,PyTorch
Event Title:ION GNSS+ 2022
Event Location:Denver, Colorado, US
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 - I4Port (old)
Location: Neustrelitz
Institutes and Institutions:Institute of Communication and Navigation > Nautical Systems
Deposited By: Grundhöfer, Lars
Deposited On:21 Oct 2022 15:44
Last Modified:20 Feb 2024 17:41

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