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• W2168399552 abstract "Abstract This paper revisits the problem of range measurement based localization of a signal source or a sensor. The major geometric difficulty of the problem comes from the non-convex structure of optimization tasks associated with range measurements, noting that the set of source locations corresponding to a certain distance measurement by a fixed point sensor is non-convex both in two and three dimensions. Differently from various recent approaches to this localization problem, all starting with a non-convex geometric minimization problem and attempting to devise methods to compensate the non-convexity effects, we suggest a geometric strategy to compose a convex minimization problem first, that is equivalent to the initial non-convex problem, at least in noise-free measurement cases. Once the convex equivalent problem is formed, a wide variety of convex minimization algorithms can be applied. The paper also suggests a gradient based localization algorithm utilizing the introduced convex cost function for localization. Furthermore, the effects of measurement noises are briefly discussed. The design, analysis, and discussions are supported by a set of numerical simulations." @default.
• W2168399552 created "2016-06-24" @default.
• W2168399552 creator A5001551882 @default.
• W2168399552 creator A5038231966 @default.
• W2168399552 date "2014-09-01" @default.
• W2168399552 modified "2023-09-22" @default.
• W2168399552 title "On convexification of range measurement based sensor and source localization problems" @default.
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• W2168399552 doi "https://doi.org/10.1016/j.adhoc.2014.04.003" @default.
• W2168399552 hasPublicationYear "2014" @default.
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