2016
DOI: 10.1016/j.sigpro.2015.08.014
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Distributed on-line multidimensional scaling for self-localization in wireless sensor networks

Abstract: The present work considers the localization problem in wireless sensor networks formed by fixed nodes. Each node seeks to estimate its own position based on noisy measurements of the relative distance to other nodes. In a centralized batch mode, positions can be retrieved (up to a rigid transformation) by applying Principal Component Analysis (PCA) on a so-called similarity matrix built from the relative distances. In this paper, we propose a distributed on-line algorithm allowing each node to estimate its own… Show more

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Cited by 19 publications
(9 citation statements)
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References 38 publications
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“…Distributed localization methods are required for a wide range of applications. Therefore, fully distributed MDS based localization methods have been recently developed [186]- [188]. In distributed MDS based localization methods every node calculates range measurements to its neighbors and updates its location estimate by minimizing a local cost function [189]- [192].…”
Section: Distributed Mds Based Localizationmentioning
confidence: 99%
“…Distributed localization methods are required for a wide range of applications. Therefore, fully distributed MDS based localization methods have been recently developed [186]- [188]. In distributed MDS based localization methods every node calculates range measurements to its neighbors and updates its location estimate by minimizing a local cost function [189]- [192].…”
Section: Distributed Mds Based Localizationmentioning
confidence: 99%
“…where a i are the Lagrange multipliers which satisfy 0\a à i \C, x i are the support vectors whose a i is not 0, n is the number of support vectors, and b à is the bias value. Equation (5) shows that decision function depends on support vectors. That means optimal hyperplane is constructed by these support vectors.…”
Section: Basic Theory Of Svmmentioning
confidence: 99%
“…One is the localization scheme in the centralized manner, such as semi-definite programming 2,3 and multidimensional scaling. 4,5 The other category is the localization scheme in the distributed manner, such as DV-Hop, 6,7 MDS-MAP, 8,9 and MDL. 10 The localization algorithm in distributed manner has lower computation and communication costs, so it is suitable for large-scale WSNs.…”
Section: Introductionmentioning
confidence: 99%
“…Most of the existing work on sensor registration is based on two approaches. In the first approach, called cooperative localization, each sensor is provided with direct measurements relative to positions of its neighbors [15]- [22]. Conversely, the second approach is based on exploiting some reference nodes of known positions (also called anchors) in the global coordinate system [23]- [27].…”
Section: Introductionmentioning
confidence: 99%