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Distance Measurement-Based Cooperative Source Localization: A Convex Range-Free Approach

One of the most essential objectives in WSNs is to determine the spatial coordinates
of a source or a sensor node having information. In this study, the problem of range
measurement-based localization of a signal source or a sensor is revisited. The main challenge of the problem results from the non-convexity associated with range measurements
calculated using the distances from the set of nodes with known positions to a xed sen-
sor node. Such measurements corresponding to certain distances are non-convex in two
and three dimensions. Attempts recently proposed in the literature to eliminate the non-
convexity approach the problem as a non-convex geometric minimization problem, using
techniques to handle the non-convexity.

This study proposes a new fuzzy range-free sensor localization method. The method
suggests using some notions of Euclidean geometry to convert the problem into a convex
geometric problem. The convex equivalent problem is built using convex fuzzy sets, thus
avoiding multiple stable local minima issues, then a gradient based localization algorithm
is chosen to solve the problem.

Next, the proposed algorithm is simulated considering various scenarios, including the
number of available source nodes, fuzzi cation level, and area coverage. The results are
compared with an algorithm having similar fuzzy logic settings. Also, the behaviour of
both algorithms with noisy measurements are discussed. Finally, future extensions of the
algorithm are suggested, along with some guidelines.

Identiferoai:union.ndltd.org:WATERLOO/oai:uwspace.uwaterloo.ca:10012/7709
Date January 2013
CreatorsKiraz, Fatma
Source SetsUniversity of Waterloo Electronic Theses Repository
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation

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