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Cramer-Rao Lower Bounds for Positioning with Large Intelligent Surfaces

Hu, Sha LU ; Rusek, Fredrik LU and Edfors, Ove LU orcid (2018) 2017 IEEE 86th Vehicular Technology Conference (VTC-Fall)
Abstract
We consider the potential for positioning with a system where antenna arrays are deployed as a large intelligent surface (LIS). We derive Fisher-informations and Cram\'{e}r-Rao lower bounds (CRLB) in closed-form for terminals along the central perpendicular line (CPL) of the LIS for all three Cartesian dimensions. For terminals at positions other than the CPL, closed-form expressions for the Fisher-informations and CRLBs seem out of reach, and we alternatively provide approximations (in closed-form) which are shown to be very accurate. We also show that under mild conditions, the CRLBs in general decrease quadratically in the surface-area for both the x and y dimensions. For the z-dimension (distance from the LIS), the CRLB decreases... (More)
We consider the potential for positioning with a system where antenna arrays are deployed as a large intelligent surface (LIS). We derive Fisher-informations and Cram\'{e}r-Rao lower bounds (CRLB) in closed-form for terminals along the central perpendicular line (CPL) of the LIS for all three Cartesian dimensions. For terminals at positions other than the CPL, closed-form expressions for the Fisher-informations and CRLBs seem out of reach, and we alternatively provide approximations (in closed-form) which are shown to be very accurate. We also show that under mild conditions, the CRLBs in general decrease quadratically in the surface-area for both the x and y dimensions. For the z-dimension (distance from the LIS), the CRLB decreases linearly in the surface-area when terminals are along the CPL. However, when terminals move away from the CPL, the CRLB is dramatically increased and then also decreases quadratically in the surface-area. We also extensively discuss the impact of different deployments (centralized and distributed) of the LIS. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
IEEE 86th Vehicular Technology Conference: VTC2017-Fall 24–27 Sep. 2017, Toronto, Canad
conference name
2017 IEEE 86th Vehicular Technology Conference (VTC-Fall)
conference location
Toronto, Canada
conference dates
2017-09-24 - 2017-09-27
external identifiers
  • scopus:85045284667
DOI
10.1109/VTCFall.2017.8288263
language
English
LU publication?
yes
id
22d6df59-efbe-41df-8f42-31835607d73c
alternative location
https://arxiv.org/abs/1702.03131
date added to LUP
2017-06-05 15:10:46
date last changed
2024-03-31 10:49:48
@inproceedings{22d6df59-efbe-41df-8f42-31835607d73c,
  abstract     = {{We consider the potential for positioning with a system where antenna arrays are deployed as a large intelligent surface (LIS). We derive Fisher-informations and Cram\'{e}r-Rao lower bounds (CRLB) in closed-form for terminals along the central perpendicular line (CPL) of the LIS for all three Cartesian dimensions. For terminals at positions other than the CPL, closed-form expressions for the Fisher-informations and CRLBs seem out of reach, and we alternatively provide approximations (in closed-form) which are shown to be very accurate. We also show that under mild conditions, the CRLBs in general decrease quadratically in the surface-area for both the x and y dimensions. For the z-dimension (distance from the LIS), the CRLB decreases linearly in the surface-area when terminals are along the CPL. However, when terminals move away from the CPL, the CRLB is dramatically increased and then also decreases quadratically in the surface-area. We also extensively discuss the impact of different deployments (centralized and distributed) of the LIS.}},
  author       = {{Hu, Sha and Rusek, Fredrik and Edfors, Ove}},
  booktitle    = {{IEEE 86th Vehicular Technology Conference: VTC2017-Fall 24–27 Sep. 2017, Toronto, Canad}},
  language     = {{eng}},
  month        = {{02}},
  title        = {{Cramer-Rao Lower Bounds for Positioning with Large Intelligent Surfaces}},
  url          = {{http://dx.doi.org/10.1109/VTCFall.2017.8288263}},
  doi          = {{10.1109/VTCFall.2017.8288263}},
  year         = {{2018}},
}