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Optimality analysis of sensor-target geometries in passive localization

Abstract

In this paper we characterize the relative sensor-target geometry for bearing-only localization in ℝ2. We analyze the geometry in terms of the Cramer-Rao inequality and the corresponding Fisher information matrix, aiming to characterize and state explicit results in terms of the potential localization performance. In particular, a number of interesting results are rigorously derived which highlight erroneous assumptions often made in the existing literature.

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