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Magnitude of the distance estimation bias in received signal strength visible light positioning

(2018) IEEE COMMUNICATIONS LETTERS. 22(11). p.2250-2253
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Abstract
In several works, statistical precision of distance estimators in visible light positioning was studied by evaluating the Cramer-Rao lower bound, assuming that the estimator is unbiased. Here, it is demonstrated that the maximum likelihood estimator of the distance is not unbiased. Consequently, the inverse of the Fisher information value is no longer a strict lower bound. We evaluate this bias for several illumination levels and it is found that the impact is very small. For many practical situations, the inverse of the Fisher information can serve as the approximation for the mean-squared error of the maximum likelihood estimator of the distance.
Keywords
SYSTEMS, COMMUNICATION, CHALLENGES, ACCURACY, Visible light positioning, maximum likelihood estimator, Fisher, information value

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Citation

Please use this url to cite or link to this publication:

MLA
Stevens, Nobby, and Heidi Steendam. “Magnitude of the Distance Estimation Bias in Received Signal Strength Visible Light Positioning.” IEEE COMMUNICATIONS LETTERS 22.11 (2018): 2250–2253. Print.
APA
Stevens, N., & Steendam, H. (2018). Magnitude of the distance estimation bias in received signal strength visible light positioning. IEEE COMMUNICATIONS LETTERS, 22(11), 2250–2253.
Chicago author-date
Stevens, Nobby, and Heidi Steendam. 2018. “Magnitude of the Distance Estimation Bias in Received Signal Strength Visible Light Positioning.” Ieee Communications Letters 22 (11): 2250–2253.
Chicago author-date (all authors)
Stevens, Nobby, and Heidi Steendam. 2018. “Magnitude of the Distance Estimation Bias in Received Signal Strength Visible Light Positioning.” Ieee Communications Letters 22 (11): 2250–2253.
Vancouver
1.
Stevens N, Steendam H. Magnitude of the distance estimation bias in received signal strength visible light positioning. IEEE COMMUNICATIONS LETTERS. Piscataway: Ieee-inst Electrical Electronics Engineers Inc; 2018;22(11):2250–3.
IEEE
[1]
N. Stevens and H. Steendam, “Magnitude of the distance estimation bias in received signal strength visible light positioning,” IEEE COMMUNICATIONS LETTERS, vol. 22, no. 11, pp. 2250–2253, 2018.
@article{8591723,
  abstract     = {In several works, statistical precision of distance estimators in visible light positioning was studied by evaluating the Cramer-Rao lower bound, assuming that the estimator is unbiased. Here, it is demonstrated that the maximum likelihood estimator of the distance is not unbiased. Consequently, the inverse of the Fisher information value is no longer a strict lower bound. We evaluate this bias for several illumination levels and it is found that the impact is very small. For many practical situations, the inverse of the Fisher information can serve as the approximation for the mean-squared error of the maximum likelihood estimator of the distance.},
  author       = {Stevens, Nobby and Steendam, Heidi},
  issn         = {1089-7798},
  journal      = {IEEE COMMUNICATIONS LETTERS},
  keywords     = {SYSTEMS,COMMUNICATION,CHALLENGES,ACCURACY,Visible light positioning,maximum likelihood estimator,Fisher,information value},
  language     = {eng},
  number       = {11},
  pages        = {2250--2253},
  publisher    = {Ieee-inst Electrical Electronics Engineers Inc},
  title        = {Magnitude of the distance estimation bias in received signal strength visible light positioning},
  url          = {http://dx.doi.org/10.1109/LCOMM.2018.2867026},
  volume       = {22},
  year         = {2018},
}

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