论适当度量空间中的声音范围

IF 0.3 Q4 MATHEMATICS

Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2018-08-09 DOI:10.12697/ACUTM.2020.24.14

S. V. Goncharov

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引用次数: 2

摘要

我们考虑声音测距或声源定位问题——在适当的度量空间(任何封闭的球都是紧致的)，特别是在有限维赋范空间中，从随时间线性增加半径的波球到达传感器点的时刻找到声源点。我们用停止准则通过迭代过程逼近任意精度的解。给出了该方法在Julia语言中的实现。

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On sound ranging in proper metric spaces

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 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. Implementation of the proposed method in Julia language is included.

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来源期刊

Acta et Commentationes Universitatis Tartuensis de Mathematica MATHEMATICS-

CiteScore

0.60

自引率

33.30%

发文量