Vectorial integer bootstrapping: flexible integer estimation with application to GNSS

Teunissen, P.J.G.; Massarweh, L.; Verhagen, S.

doi:10.1007/s00190-021-01552-2

Vectorial integer bootstrapping

Title

Vectorial integer bootstrapping: flexible integer estimation with application to GNSS

Author

Teunissen, P.J.G. (TU Delft Mathematical Geodesy and Positioning; Curtin University; University of Melbourne)
Massarweh, L. (TU Delft Mathematical Geodesy and Positioning)
Verhagen, S. (TU Delft Mathematical Geodesy and Positioning)

Date

2021

Abstract

In this contribution, we extend the principle of integer bootstrapping (IB) to a vectorial form (VIB). The mathematical definition of the class of VIB-estimators is introduced together with their pull-in regions and other properties such as probability bounds and success rate approximations. The vectorial formulation allows sequential block-by-block processing of the ambiguities based on a user-chosen partitioning. In this way, flexibility is created, where for specific choices of partitioning, tailored VIB-estimators can be designed. This wide range of possibilities is discussed, supported by numerical simulations and analytical examples. Further guidelines are provided, as well as the possible extension to other classes of estimators.

Subject

Ambiguity success rate
GNSS
Integer ambiguity resolution
Integer least-squares (ILS)
Pull-in region
Vectorial integer bootstrapping (VIB)
Z-transformation

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http://resolver.tudelft.nl/uuid:a9484041-7559-4cbd-ac32-eafda01f0bcd

DOI

https://doi.org/10.1007/s00190-021-01552-2

ISSN

0949-7714

Source

Journal of Geodesy, 95 (9)

Part of collection

Institutional Repository