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Fast computation of Cramer-Rao Bounds for TOA: An application to network-based positioning simulations

  • Esteban Garzón
  • , Santiago Valdiviezo
  • , René Játiva*
  • , Josep Vidal
  • *Corresponding author for this work
  • Universidad San Francisco de Quito
  • Polytechnic University of Catalonia

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

1 Scopus citations

Abstract

As part of a larger scope work that studies network-based positioning, that employs timing measures, this article proposes a methodology to add Cramer-Rao Bounds (CRBs) information to the propagation model. Moreover, it enables a very quick computation of CRBs for timing, avoiding the growing computational effort resulting from Fisher's matrix formulation and its inversion for each required position at the simulation stage, assuring at the same time the reliability of the required data in the study of positioning using space-time diversity. This methodology considers the variability of the propagation conditions in terms of delay spread (DS) and Signal-to-Noise ratio (SNR) in a realistic scenario. It also coordinates the operation of concurrent models within simulation, and finally performs bi-exponential regression and interpolation procedures on pertinent operational regions for CRBs. Properly validated models provide simple closed expressions that ease the operational region discrimination and its integration to the positioning simulation platform.

Original languageEnglish
Title of host publication2016 IEEE Latin American Conference on Computational Intelligence, LA-CCI 2016 - Proceedings
EditorsCristian Rodriguez, Juan Bernardo Gomez
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509051052
DOIs
StatePublished - 23 Mar 2017
Event2016 IEEE Latin American Conference on Computational Intelligence, LA-CCI 2016 - Cartagena, Colombia
Duration: 2 Nov 20164 Nov 2016

Publication series

Name2016 IEEE Latin American Conference on Computational Intelligence, LA-CCI 2016 - Proceedings

Conference

Conference2016 IEEE Latin American Conference on Computational Intelligence, LA-CCI 2016
Country/TerritoryColombia
CityCartagena
Period2/11/164/11/16

Keywords

  • Antenna Arrays
  • Bi-exponential regression
  • Cramer Rao Bounds (CRB)
  • Greenstein model
  • Time Of Arrival (TOA)
  • network-based positioning
  • wireless sensor networks

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