Vectorial integer bootstrapping: flexible integer estimation with application to GNSS

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