NDLI: 2D geometrical performance for localization algorithms from 3D perspective

Content Provider	IEEE Xplore Digital Library
Author	Yubin Zhao Yuan Yang Kyas, M.
Copyright Year	2013
Description	Author affiliation: Inst. of Comput. Sci., Freie Univ. Berlin, Berlin, Germany (Yubin Zhao; Yuan Yang; Kyas, M.)
Abstract	In conventional wireless positioning systems, the mobile target and anchors are not with the same height due to the infrastructure deployment. However, many localization algorithms ignore the relative differences in height and assume the distance obtained is in the 2D field (defined as 2D-ranging). In this paper, we attempt to analyze the impact of the relative height between mobile target and anchor for the estimation performance. We assume the range measurement is based on the 3D distance (defined as 3D-ranging) in a small playing field, where the relative height difference can not be ignored in the range calculation, but the position estimation is drawn on the 2D playing field. Cramér-Rao lower bounds (CRLBs) for both line-of-sight (LOS) and non-line-of-sight (NLOS) noise environment are derived. The analytical results indicate that the geometric shapes of optimal mean square error (MSE) for unbiased estimator change, if a relative height difference exists. Thus, conventional GDOP or CRLB-based location algorithm and anchor selection method are unreliable without considering the relative height difference. Besides, we evaluate spatial position error distribution (SPED) of several commonly used localization algorithms, such as linear-least-square (LLS), non-linear-least-square (NLLS), min-max algorithm, Geo-n algorithm. The estimation accuracy of the above algorithms are degraded comparing with 2D ranging case in SPED. Therefore, based on our work, the relative height should be considered in the localization algorithm design in order to obtain an accurate estimation.
Sponsorship	IEEE
Starting Page	1
Ending Page	10
File Size	3844189
Page Count	10
File Format	PDF
ISBN	9781479940431
DOI	10.1109/IPIN.2013.6817907
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-10-28
Publisher Place	France
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Cramer-Rao bounds Cramér-Rao lower bound Indoor localization Spatial position error distribution Position error distribution
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A geometrical perspective on localization

MSE lower bounds for phase estimation based on overlapped Gaussian distribution

Cramer-rao bounds for power delay profile fingerprinting based positioning

Cramér-Rao lower bound analysis for wireless localization systems using priori information

Cramér–Rao Lower Bounds of RSS-Based Localization With Anchor Position Uncertainty

Cyclic Bayesian Cramér-Rao bound for filtering in circular state space

Speaker locations from inter-speaker range measurements: closed-form estimator and performance relative to the Cramer-Rao lower bound

Lognormal mixture Cramer-Rao lower bound for localization

Cramer Rao lower bound for multi-source localization in spatial correlated environment

2D geometrical performance for localization algorithms from 3D perspective

Similar Documents

A geometrical perspective on localization

MSE lower bounds for phase estimation based on overlapped Gaussian distribution

Cramer-rao bounds for power delay profile fingerprinting based positioning

Cramér-Rao lower bound analysis for wireless localization systems using priori information

Cramér–Rao Lower Bounds of RSS-Based Localization With Anchor Position Uncertainty

Cyclic Bayesian Cramér-Rao bound for filtering in circular state space

Speaker locations from inter-speaker range measurements: closed-form estimator and performance relative to the Cramer-Rao lower bound

Lognormal mixture Cramer-Rao lower bound for localization

Cramer Rao lower bound for multi-source localization in spatial correlated environment

2D geometrical performance for localization algorithms from 3D perspective