Asymptotic CRB for Satellite based Localization

Hodaya Halevi, Yair Noam, Itsik Bergel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present novel lower bounds on the localization error using a network of satellites randomly deployed on a sphere around Earth. The land terminal (LT) estimates its location using the received signals from the satellites, taking advantage of both time difference of arrival (TDOA) and received signal strength (RSS) information. Our new analysis approach characterizes the localization performance by its asymptotic behavior as the number of satellites gets large. Using the law of large numbers, we derive closed-form expressions for the asymptotic Cramer Rao bound (CRB) from which we draw useful insights. The resulting expressions depend solely on the network statistics and are not a function of a particular network configuration. We show that the results are relevant for realistic finite numbers of satellites and give a good prediction to the localization accuracy. We also show the relative importance of TDOA vs. RSS in different system bandwidths.

Original languageEnglish
Title of host publication2021 IEEE 22nd International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2021
PublisherInstitute of Electrical and Electronics Engineers
Pages186-190
Number of pages5
ISBN (Electronic)9781665428514
DOIs
StatePublished - 1 Jan 2021
Externally publishedYes
Event22nd IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2021 - Lucca, Italy
Duration: 27 Sep 202130 Sep 2021

Publication series

NameIEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC
Volume2021-September

Conference

Conference22nd IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2021
Country/TerritoryItaly
CityLucca
Period27/09/2130/09/21

Keywords

  • CRB
  • GNSS
  • localization
  • TDOA-RSS

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Information Systems

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