Cramer-Rao bound for AOA-based VLP with an aperture-based receiver

Heidi Steendam; Thomas Q. Wang; Jean Armstrong

doi:10.1109/ICC.2017.7996691

Cramer-Rao bound for AOA-based VLP with an aperture-based receiver

Heidi Steendam, Thomas Q. Wang, Jean Armstrong

Electrical and Computer Systems Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

13 Citations (Scopus)

Abstract

Visible light positioning (VLP) for indoor applications has recently received considerable attention. In this paper, an aperture based receiver is considered and the position is estimated based on the angle-of-arrival (AOA), because the AOA can be determined by comparing the relative differences in the received signal strengths (RSS) in the different photodiodes (PDs) of the receiver. Hence, in contrast to RSS based positioning solutions, knowledge of the transmitted signal strengths is not required. The performance of the proposed approach depends on the transmitted signal strength only through the dependency on the signal-to-noise ratio. To evaluate the accuracy of the estimates of the AOA, we derive the Cramer-Rao lower bound, and show that the expected error on the AOA is very small. Applying triangulation to determine the position of the receiver, it follows that centimetre accuracy can be obtained with the aperture-based receiver.

Original language	English
Title of host publication	2017 IEEE International Conference on Communications (ICC 2017)
Editors	David Gesbert, Merouane Debbah, Abdelhamid Mellouk
Place of Publication	Piscataway NJ USA
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	2296-2301
Number of pages	6
ISBN (Electronic)	9781467389990
ISBN (Print)	9781467390002
DOIs	https://doi.org/10.1109/ICC.2017.7996691
Publication status	Published - 2017
Event	IEEE International Conference on Communications 2017: Bridging People, Communities, and Cultures - Paris, France Duration: 21 May 2017 → 25 May 2017 https://icc2017.ieee-icc.org https://ieeexplore.ieee.org/xpl/conhome/7985734/proceeding (Proceedings)

Conference

Conference	IEEE International Conference on Communications 2017
Abbreviated title	ICC 2017
Country/Territory	France
City	Paris
Period	21/05/17 → 25/05/17
Internet address	https://icc2017.ieee-icc.org https://ieeexplore.ieee.org/xpl/conhome/7985734/proceeding (Proceedings)

Keywords

angle-of-arrival
Cramer-Rao bound
positioning
VLP

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10.1109/ICC.2017.7996691

Cite this

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title = "Cramer-Rao bound for AOA-based VLP with an aperture-based receiver",

abstract = "Visible light positioning (VLP) for indoor applications has recently received considerable attention. In this paper, an aperture based receiver is considered and the position is estimated based on the angle-of-arrival (AOA), because the AOA can be determined by comparing the relative differences in the received signal strengths (RSS) in the different photodiodes (PDs) of the receiver. Hence, in contrast to RSS based positioning solutions, knowledge of the transmitted signal strengths is not required. The performance of the proposed approach depends on the transmitted signal strength only through the dependency on the signal-to-noise ratio. To evaluate the accuracy of the estimates of the AOA, we derive the Cramer-Rao lower bound, and show that the expected error on the AOA is very small. Applying triangulation to determine the position of the receiver, it follows that centimetre accuracy can be obtained with the aperture-based receiver.",

keywords = "angle-of-arrival, Cramer-Rao bound, positioning, VLP",

author = "Heidi Steendam and Wang, \{Thomas Q.\} and Jean Armstrong",

year = "2017",

doi = "10.1109/ICC.2017.7996691",

language = "English",

isbn = "9781467390002",

pages = "2296--2301",

editor = "David Gesbert and Merouane Debbah and Abdelhamid Mellouk",

booktitle = "2017 IEEE International Conference on Communications (ICC 2017)",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

address = "United States of America",

note = "IEEE International Conference on Communications 2017 : Bridging People, Communities, and Cultures, ICC 2017 ; Conference date: 21-05-2017 Through 25-05-2017",

url = "https://icc2017.ieee-icc.org, https://ieeexplore.ieee.org/xpl/conhome/7985734/proceeding",

}

Steendam, H, Wang, TQ & Armstrong, J 2017, Cramer-Rao bound for AOA-based VLP with an aperture-based receiver. in D Gesbert, M Debbah & A Mellouk (eds), 2017 IEEE International Conference on Communications (ICC 2017). IEEE, Institute of Electrical and Electronics Engineers, Piscataway NJ USA, pp. 2296-2301, IEEE International Conference on Communications 2017, Paris, France, 21/05/17. https://doi.org/10.1109/ICC.2017.7996691

Cramer-Rao bound for AOA-based VLP with an aperture-based receiver. / Steendam, Heidi; Wang, Thomas Q.; Armstrong, Jean.
2017 IEEE International Conference on Communications (ICC 2017). ed. / David Gesbert; Merouane Debbah; Abdelhamid Mellouk. Piscataway NJ USA: IEEE, Institute of Electrical and Electronics Engineers, 2017. p. 2296-2301.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

TY - GEN

T1 - Cramer-Rao bound for AOA-based VLP with an aperture-based receiver

AU - Steendam, Heidi

AU - Wang, Thomas Q.

AU - Armstrong, Jean

PY - 2017

Y1 - 2017

N2 - Visible light positioning (VLP) for indoor applications has recently received considerable attention. In this paper, an aperture based receiver is considered and the position is estimated based on the angle-of-arrival (AOA), because the AOA can be determined by comparing the relative differences in the received signal strengths (RSS) in the different photodiodes (PDs) of the receiver. Hence, in contrast to RSS based positioning solutions, knowledge of the transmitted signal strengths is not required. The performance of the proposed approach depends on the transmitted signal strength only through the dependency on the signal-to-noise ratio. To evaluate the accuracy of the estimates of the AOA, we derive the Cramer-Rao lower bound, and show that the expected error on the AOA is very small. Applying triangulation to determine the position of the receiver, it follows that centimetre accuracy can be obtained with the aperture-based receiver.

AB - Visible light positioning (VLP) for indoor applications has recently received considerable attention. In this paper, an aperture based receiver is considered and the position is estimated based on the angle-of-arrival (AOA), because the AOA can be determined by comparing the relative differences in the received signal strengths (RSS) in the different photodiodes (PDs) of the receiver. Hence, in contrast to RSS based positioning solutions, knowledge of the transmitted signal strengths is not required. The performance of the proposed approach depends on the transmitted signal strength only through the dependency on the signal-to-noise ratio. To evaluate the accuracy of the estimates of the AOA, we derive the Cramer-Rao lower bound, and show that the expected error on the AOA is very small. Applying triangulation to determine the position of the receiver, it follows that centimetre accuracy can be obtained with the aperture-based receiver.

KW - angle-of-arrival

KW - Cramer-Rao bound

KW - positioning

KW - VLP

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U2 - 10.1109/ICC.2017.7996691

DO - 10.1109/ICC.2017.7996691

M3 - Conference Paper

AN - SCOPUS:85028325738

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EP - 2301

BT - 2017 IEEE International Conference on Communications (ICC 2017)

A2 - Gesbert, David

A2 - Debbah, Merouane

A2 - Mellouk, Abdelhamid

PB - IEEE, Institute of Electrical and Electronics Engineers

CY - Piscataway NJ USA

T2 - IEEE International Conference on Communications 2017

Y2 - 21 May 2017 through 25 May 2017

ER -

Cramer-Rao bound for AOA-based VLP with an aperture-based receiver

Abstract

Conference

Keywords

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