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arXiv · 1808.03330

On sound ranging in proper metric spaces

Sergij V. Goncharov
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Abstract

We consider the sound ranging, or source localization, problem - find the source-point from the moments when the wave-sphere of linearly, with time, increasing radius reaches the sensor-points - in the proper metric spaces (any closed ball is compact) and, in particular, in the finite-dimensional normed spaces. We approximate the solution to arbitrary precision by the iterative process with the stopping criterion.

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Sergij V. Goncharov. 2018-08-09. On sound ranging in proper metric spaces. https://doi.org/10.12697/acutm.2020.24.14

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