Distance Estimation Based on Statistical Models of Received Signal Strength

Masahiro FUJII; Yuma HIROTA; Hiroyuki HATANO; Atsushi ITO; Yu WATANABE

doi:10.1587/transfun.E99.A.199

Distance Estimation Based on Statistical Models of Received Signal Strength

Masahiro FUJII, Yuma HIROTA, Hiroyuki HATANO, Atsushi ITO, Yu WATANABE

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In this letter, we propose a new distance estimation method based on statistical models of a Received Signal Strength (RSS) at the receiver. The conventional distance estimator estimates the distance between the transmitter and the receiver based on the statistical average of the RSS when the receiver obtains instantaneous RSS and an estimate of the hyperparameters which consists of the path loss exponent and so on. However, it is well-known that instantaneous RSS does not always correspond to the average RSS because the RSS varies in accordance with a statistical model. Although the statistical model has been introduced for the hyperparameters estimation and the localization system, the conventional distance estimator has not yet utilized it. We introduce the statistical model to the distance estimator whose expected value of the estimate corresponds to true distance. Our theoretical analysis establishes that the proposed distance estimator is preferable to the conventional one in order to improve accuracy in the expected value of the distance estimate. Moreover, we evaluate the Mean Square Error (MSE) between true distance and the estimate. We provide evidence that the MSE is always proportional to the square of the distance if the estimate of the hyperparameters is ideally obtained.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E99-A No.1 pp.199-203

Publication Date: 2016/01/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E99.A.199

Type of Manuscript: Special Section LETTER (Special Section on Wideband Systems)

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Authors

Masahiro FUJII
  Utsunomiya University
Yuma HIROTA
  Utsunomiya University
Hiroyuki HATANO
  Utsunomiya University
Atsushi ITO
  Utsunomiya University
Yu WATANABE
  Utsunomiya University

Keyword

distance estimation, received signal strength, statistical model, mean square error

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Masahiro FUJII, Yuma HIROTA, Hiroyuki HATANO, Atsushi ITO, Yu WATANABE, "Distance Estimation Based on Statistical Models of Received Signal Strength" in IEICE TRANSACTIONS on Fundamentals, vol. E99-A, no. 1, pp. 199-203, January 2016, doi: 10.1587/transfun.E99.A.199.
Abstract: In this letter, we propose a new distance estimation method based on statistical models of a Received Signal Strength (RSS) at the receiver. The conventional distance estimator estimates the distance between the transmitter and the receiver based on the statistical average of the RSS when the receiver obtains instantaneous RSS and an estimate of the hyperparameters which consists of the path loss exponent and so on. However, it is well-known that instantaneous RSS does not always correspond to the average RSS because the RSS varies in accordance with a statistical model. Although the statistical model has been introduced for the hyperparameters estimation and the localization system, the conventional distance estimator has not yet utilized it. We introduce the statistical model to the distance estimator whose expected value of the estimate corresponds to true distance. Our theoretical analysis establishes that the proposed distance estimator is preferable to the conventional one in order to improve accuracy in the expected value of the distance estimate. Moreover, we evaluate the Mean Square Error (MSE) between true distance and the estimate. We provide evidence that the MSE is always proportional to the square of the distance if the estimate of the hyperparameters is ideally obtained.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.199/_p

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@ARTICLE{e99-a_1_199,
author={Masahiro FUJII, Yuma HIROTA, Hiroyuki HATANO, Atsushi ITO, Yu WATANABE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Distance Estimation Based on Statistical Models of Received Signal Strength},
year={2016},
volume={E99-A},
number={1},
pages={199-203},
abstract={In this letter, we propose a new distance estimation method based on statistical models of a Received Signal Strength (RSS) at the receiver. The conventional distance estimator estimates the distance between the transmitter and the receiver based on the statistical average of the RSS when the receiver obtains instantaneous RSS and an estimate of the hyperparameters which consists of the path loss exponent and so on. However, it is well-known that instantaneous RSS does not always correspond to the average RSS because the RSS varies in accordance with a statistical model. Although the statistical model has been introduced for the hyperparameters estimation and the localization system, the conventional distance estimator has not yet utilized it. We introduce the statistical model to the distance estimator whose expected value of the estimate corresponds to true distance. Our theoretical analysis establishes that the proposed distance estimator is preferable to the conventional one in order to improve accuracy in the expected value of the distance estimate. Moreover, we evaluate the Mean Square Error (MSE) between true distance and the estimate. We provide evidence that the MSE is always proportional to the square of the distance if the estimate of the hyperparameters is ideally obtained.},
keywords={},
doi={10.1587/transfun.E99.A.199},
ISSN={1745-1337},
month={January},}

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TY - JOUR
TI - Distance Estimation Based on Statistical Models of Received Signal Strength
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 199
EP - 203
AU - Masahiro FUJII
AU - Yuma HIROTA
AU - Hiroyuki HATANO
AU - Atsushi ITO
AU - Yu WATANABE
PY - 2016
DO - 10.1587/transfun.E99.A.199
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2016
AB - In this letter, we propose a new distance estimation method based on statistical models of a Received Signal Strength (RSS) at the receiver. The conventional distance estimator estimates the distance between the transmitter and the receiver based on the statistical average of the RSS when the receiver obtains instantaneous RSS and an estimate of the hyperparameters which consists of the path loss exponent and so on. However, it is well-known that instantaneous RSS does not always correspond to the average RSS because the RSS varies in accordance with a statistical model. Although the statistical model has been introduced for the hyperparameters estimation and the localization system, the conventional distance estimator has not yet utilized it. We introduce the statistical model to the distance estimator whose expected value of the estimate corresponds to true distance. Our theoretical analysis establishes that the proposed distance estimator is preferable to the conventional one in order to improve accuracy in the expected value of the distance estimate. Moreover, we evaluate the Mean Square Error (MSE) between true distance and the estimate. We provide evidence that the MSE is always proportional to the square of the distance if the estimate of the hyperparameters is ideally obtained.
ER -