On sound ranging in proper metric spaces
Functional Analysis
2021-03-16 v1 Metric Geometry
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.
Cite
@article{arxiv.1808.03330,
title = {On sound ranging in proper metric spaces},
author = {Sergij V. Goncharov},
journal= {arXiv preprint arXiv:1808.03330},
year = {2021}
}
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9 pages