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Cramer-Rao Lower Bounds for Positioning with Large Intelligent Surfaces

Hu, Sha LU ; Rusek, Fredrik LU and Edfors, Ove LU (2017) In IEEE 86th Vehicular Technology Conference: VTC2017-Fall 24–27 Sep. 2017, Toronto, Canad
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)
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Chapter in Book/Report/Conference proceeding
publication status
in press
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IEEE 86th Vehicular Technology Conference: VTC2017-Fall 24–27 Sep. 2017, Toronto, Canad
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
2017-06-07 11:21:50
@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},
  title        = {Cramer-Rao Lower Bounds for Positioning with Large Intelligent Surfaces},
  year         = {2017},
}