Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12188/6310
Title: Geometric Interpretation of Theoretical Bounds for RSS-based Source Localization with Uncertain Anchor Positions
Authors: Daniel Denkovski
Marko Angjelichinoski
Vladimir Atanasovski
Liljana Gavrilovska
Keywords: Computer Science - Information Theory
Computer Science - Information Theory
Mathematics - Information Theory
Issue Date: 23-Aug-2016
Abstract: The Received Signal Strength based source localization can encounter severe problems originating from uncertain information about the anchor positions in practice. The anchor positions, although commonly assumed to be precisely known prior to the source localization, are usually obtained using previous estimation algorithm such as GPS. This previous estimation procedure produces anchor positions with limited accuracy that result in degradations of the source localization algorithm and topology uncertainty. We have recently addressed the problem with a joint estimation framework that jointly estimates the unknown source and uncertain anchors positions and derived the theoretical limits of the framework. This paper extends the authors previous work on the theoretical performance bounds of the joint localization framework with appropriate geometric interpretation of the overall problem exploiting the properties of semi-definiteness and symmetry of the Fisher Information Matrix and the Cram{\`e}r-Rao Lower Bound and using Information and Error Ellipses, respectively. The numerical results aim to illustrate and discuss the usefulness of the geometric interpretation. They provide in-depth insight into the geometrical properties of the joint localization problem underlining the various possibilities for practical design of efficient localization algorithms.
URI: http://hdl.handle.net/20.500.12188/6310
Appears in Collections:Faculty of Electrical Engineering and Information Technologies: Journal Articles

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