Cramer-Rao Lower Bounds for Positioning with Large Intelligent Surfaces
(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:
https://lup.lub.lu.se/record/22d6df59-efbe-41df-8f42-31835607d73c
- author
- Hu, Sha LU ; Rusek, Fredrik LU and Edfors, Ove LU
- organization
- publishing date
- 2018-02-12
- 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}}, }