Optimal Trilateration Is an Eigenvalue Problem

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Sammanfattning

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.

Originalspråkengelska
Titel på värdpublikation2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings
FörlagIEEE - Institute of Electrical and Electronics Engineers Inc.
Sidor5586-5590
Antal sidor5
Volym2019-May
ISBN (elektroniskt)9781479981311
DOI
StatusPublished - 2019 maj
Evenemang44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Brighton, Storbritannien
Varaktighet: 2019 maj 122019 maj 17

Konferens

Konferens44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019
Land/TerritoriumStorbritannien
OrtBrighton
Period2019/05/122019/05/17

Ämnesklassifikation (UKÄ)

  • Signalbehandling
  • Beräkningsmatematik

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