Optimal Trilateration Is an Eigenvalue Problem

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

Abstract

The problem of estimating receiver or sender node positions from measured receiver-sender distances is a key issue in different applications such as microphone array calibration, radio antenna array calibration, mapping and positioning using UWB or using round-trip-time measurements between mobile phones and WiFi-units. In this paper we address the problem of optimally estimating a receiver position given a number of distance measurements to known sender positions, so called trilateration. We show that this problem can be rephrased as an eigenvalue problem. We also address different error models and the multilateration setting where an additional offset is also unknown, and show that these problems can be modeled using the same framework.

Details

Authors
Organisations
External organisations
  • ETH Zürich
  • Combain positioning solutions
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Signal Processing
  • Computational Mathematics

Keywords

  • Calibration, Multilateration, Optimal estimation, Trilateration
Original languageEnglish
Title of host publication2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5586-5590
Number of pages5
Volume2019-May
ISBN (Electronic)9781479981311
Publication statusPublished - 2019 May
Publication categoryResearch
Peer-reviewedYes
Event44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Brighton, United Kingdom
Duration: 2019 May 122019 May 17

Conference

Conference44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019
CountryUnited Kingdom
CityBrighton
Period2019/05/122019/05/17