Optimal Trilateration Is an Eigenvalue Problem
(2019) 44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 2019-May. p.5586-5590- 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... (More)
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.
(Less)
- author
- Larsson, Martin LU ; Larsson, Viktor LU ; Astrom, Kalle LU and Oskarsson, Magnus LU
- organization
- publishing date
- 2019-05
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Calibration, Multilateration, Optimal estimation, Trilateration
- host publication
- 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings
- volume
- 2019-May
- article number
- 8683355
- pages
- 5 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019
- conference location
- Brighton, United Kingdom
- conference dates
- 2019-05-12 - 2019-05-17
- external identifiers
-
- scopus:85068976138
- ISBN
- 9781479981311
- DOI
- 10.1109/ICASSP.2019.8683355
- language
- English
- LU publication?
- yes
- id
- bbb51fb3-f3aa-4b07-bb1c-709ff38c946e
- date added to LUP
- 2019-07-23 17:10:59
- date last changed
- 2022-09-24 00:32:39
@inproceedings{bbb51fb3-f3aa-4b07-bb1c-709ff38c946e, abstract = {{<p>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.</p>}}, author = {{Larsson, Martin and Larsson, Viktor and Astrom, Kalle and Oskarsson, Magnus}}, booktitle = {{2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings}}, isbn = {{9781479981311}}, keywords = {{Calibration; Multilateration; Optimal estimation; Trilateration}}, language = {{eng}}, pages = {{5586--5590}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Optimal Trilateration Is an Eigenvalue Problem}}, url = {{http://dx.doi.org/10.1109/ICASSP.2019.8683355}}, doi = {{10.1109/ICASSP.2019.8683355}}, volume = {{2019-May}}, year = {{2019}}, }