Application of an optimal stochastic Newton-Raphson technique to triangulation-based localization systems

Trilateration-based localization schemes typically extract the needed information, such as distances between transmitters and receivers, from noisy received signal strength (RSS) measurements specific to the employed technologies. Such applications employ non-stochastic methods without appropriately...

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Veröffentlicht in:IEEE/ION Position Location and Navigation Symposium S. 981 - 986
Hauptverfasser: Saab, Khaled Kamal, Saab, Samer Said
Format: Tagungsbericht Journal Article
Sprache:Englisch
Veröffentlicht: IEEE 01.04.2016
Schlagworte:
Algorithm design and analysis
Algorithms
anchor free
Covariance matrices
Localization
Mathematical model
Mathematical models
Newton Raphson methods
Newton's method
Noise
Noise measurement
Optimization
Pollution measurement
Position (location)
relative location
stochastic optimization
Stochasticity
ISSN:2153-3598
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Abstract Trilateration-based localization schemes typically extract the needed information, such as distances between transmitters and receivers, from noisy received signal strength (RSS) measurements specific to the employed technologies. Such applications employ non-stochastic methods without appropriately targeting noise. This paper proposes employing a recent optimal stochastic Newton-Raphson (NR) algorithm with measurement noise rejection capability for a class of localization applications. In order to show the effectiveness of this algorithm, we numerically consider an anchor-free localization problem with random initial guess. Numerical results show that the proposed recursive algorithm provides significant improvement over the traditional NR method.
AbstractList Trilateration-based localization schemes typically extract the needed information, such as distances between transmitters and receivers, from noisy received signal strength (RSS) measurements specific to the employed technologies. Such applications employ non-stochastic methods without appropriately targeting noise. This paper proposes employing a recent optimal stochastic Newton-Raphson (NR) algorithm with measurement noise rejection capability for a class of localization applications. In order to show the effectiveness of this algorithm, we numerically consider an anchor-free localization problem with random initial guess. Numerical results show that the proposed recursive algorithm provides significant improvement over the traditional NR method.
Author Saab, Samer Said
Saab, Khaled Kamal
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  givenname: Samer Said
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  organization: Dept. of Electr. & Comput. Eng., Pennsylvania State Univ., State College, PA, USA
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Snippet Trilateration-based localization schemes typically extract the needed information, such as distances between transmitters and receivers, from noisy received...
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SubjectTerms Algorithm design and analysis
Algorithms
anchor free
Covariance matrices
Localization
Mathematical model
Mathematical models
Newton Raphson methods
Newton's method
Noise
Noise measurement
Optimization
Pollution measurement
Position (location)
relative location
stochastic optimization
Stochasticity
Title Application of an optimal stochastic Newton-Raphson technique to triangulation-based localization systems
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