Weighted Least Squares Techniques for Improved Received Signal Strength Based Localization

The practical deployment of wireless positioning systems requires minimizing the calibration procedures while improving the location estimation accuracy. Received Signal Strength localization techniques using propagation channel models are the simplest alternative, but they are usually designed unde...

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Main Authors: José R. Casar, Ana M. Bernardos, Paula Tarrío
Format: Article
Language:English
Published: MDPI AG 2011-09-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/11/9/8569/
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author José R. Casar
Ana M. Bernardos
Paula Tarrío
author_facet José R. Casar
Ana M. Bernardos
Paula Tarrío
author_sort José R. Casar
collection DOAJ
description The practical deployment of wireless positioning systems requires minimizing the calibration procedures while improving the location estimation accuracy. Received Signal Strength localization techniques using propagation channel models are the simplest alternative, but they are usually designed under the assumption that the radio propagation model is to be perfectly characterized a priori. In practice, this assumption does not hold and the localization results are affected by the inaccuracies of the theoretical, roughly calibrated or just imperfect channel models used to compute location. In this paper, we propose the use of weighted multilateration techniques to gain robustness with respect to these inaccuracies, reducing the dependency of having an optimal channel model. In particular, we propose two weighted least squares techniques based on the standard hyperbolic and circular positioning algorithms that specifically consider the accuracies of the different measurements to obtain a better estimation of the position. These techniques are compared to the standard hyperbolic and circular positioning techniques through both numerical simulations and an exhaustive set of real experiments on different types of wireless networks (a wireless sensor network, a WiFi network and a Bluetooth network). The algorithms not only produce better localization results with a very limited overhead in terms of computational cost but also achieve a greater robustness to inaccuracies in channel modeling.
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spelling doaj.art-2e85814719a040649beaf8c094cd4c022022-12-22T04:25:19ZengMDPI AGSensors1424-82202011-09-011198569859210.3390/s110908569Weighted Least Squares Techniques for Improved Received Signal Strength Based LocalizationJosé R. CasarAna M. BernardosPaula TarríoThe practical deployment of wireless positioning systems requires minimizing the calibration procedures while improving the location estimation accuracy. Received Signal Strength localization techniques using propagation channel models are the simplest alternative, but they are usually designed under the assumption that the radio propagation model is to be perfectly characterized a priori. In practice, this assumption does not hold and the localization results are affected by the inaccuracies of the theoretical, roughly calibrated or just imperfect channel models used to compute location. In this paper, we propose the use of weighted multilateration techniques to gain robustness with respect to these inaccuracies, reducing the dependency of having an optimal channel model. In particular, we propose two weighted least squares techniques based on the standard hyperbolic and circular positioning algorithms that specifically consider the accuracies of the different measurements to obtain a better estimation of the position. These techniques are compared to the standard hyperbolic and circular positioning techniques through both numerical simulations and an exhaustive set of real experiments on different types of wireless networks (a wireless sensor network, a WiFi network and a Bluetooth network). The algorithms not only produce better localization results with a very limited overhead in terms of computational cost but also achieve a greater robustness to inaccuracies in channel modeling.http://www.mdpi.com/1424-8220/11/9/8569/localizationpositioningwireless networksleast squaresreceived signal strengthchannel model estimation
spellingShingle José R. Casar
Ana M. Bernardos
Paula Tarrío
Weighted Least Squares Techniques for Improved Received Signal Strength Based Localization
Sensors
localization
positioning
wireless networks
least squares
received signal strength
channel model estimation
title Weighted Least Squares Techniques for Improved Received Signal Strength Based Localization
title_full Weighted Least Squares Techniques for Improved Received Signal Strength Based Localization
title_fullStr Weighted Least Squares Techniques for Improved Received Signal Strength Based Localization
title_full_unstemmed Weighted Least Squares Techniques for Improved Received Signal Strength Based Localization
title_short Weighted Least Squares Techniques for Improved Received Signal Strength Based Localization
title_sort weighted least squares techniques for improved received signal strength based localization
topic localization
positioning
wireless networks
least squares
received signal strength
channel model estimation
url http://www.mdpi.com/1424-8220/11/9/8569/
work_keys_str_mv AT josercasar weightedleastsquarestechniquesforimprovedreceivedsignalstrengthbasedlocalization
AT anambernardos weightedleastsquarestechniquesforimprovedreceivedsignalstrengthbasedlocalization
AT paulatarrio weightedleastsquarestechniquesforimprovedreceivedsignalstrengthbasedlocalization