A practical approach to optimal estimator design in RAIM

Mathieu Joerger, Boris Pervan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents new methods to find the optimal non-least-squares (NLS) estimator that minimizes the integrity risk in Receiver Autonomous Integrity Monitoring (RAIM). These methods aim at lowering the integrity risk in exchange for a slight increase in nominal positioning error. A first algorithm is formulated as a multi-dimensional minimization problem, which directly minimizes integrity risk, but can only be solved using a time-consuming iterative process involving the integration of a bivariate normal distribution. Then, parity space representations are exploited to develop a new computationally-efficient, near-optimal NLS-estimator design method, which uses a straightforward line-search process. Performance analyses for an example multi-constellation Advanced RAIM (ARAIM) application show that this new method enables significant integrity risk reduction, even in real-time implementations where computational resources are limited.

Original languageEnglish (US)
Title of host publication27th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS 2014
PublisherInstitute of Navigation
Pages3587-3599
Number of pages13
ISBN (Electronic)9781634399913
StatePublished - Jan 1 2014
Externally publishedYes
Event27th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS 2014 - Tampa, United States
Duration: Sep 8 2014Sep 12 2014

Publication series

Name27th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS 2014
Volume4

Conference

Conference27th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS 2014
CountryUnited States
CityTampa
Period9/8/149/12/14

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Aerospace Engineering
  • Computer Science Applications
  • Software

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  • Cite this

    Joerger, M., & Pervan, B. (2014). A practical approach to optimal estimator design in RAIM. In 27th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS 2014 (pp. 3587-3599). (27th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS 2014; Vol. 4). Institute of Navigation.