An Analytical Solution for Acoustic Emission Source Location for Known P Wave Velocity System | Zendy

Longjun Dong | Zendy; Xibing Li | Zendy; Gongnan Xie | Zendy

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An Analytical Solution for Acoustic Emission Source Location for Known P Wave Velocity System

Author(s) -

Longjun Dong,

Xibing Li,

Gongnan Xie

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/290686

Subject(s) - multilateration , nonlinear system , multiplicity (mathematics) , algorithm , mathematics , mean squared error , square (algebra) , mathematical analysis , computer science , physics , geometry , statistics , quantum mechanics , azimuth

This paper presents a three-dimensional analytical solution for acoustic emission source location using time difference of arrival (TDOA) measurements from N receivers, N⩾5. The nonlinear location equations for TDOA are simplified to linear equations, and the direct analytical solution is obtained by solving the linear equations. There are not calculations of square roots in solution equations. The method solved the problems of the existence and multiplicity of solutions induced by the calculations of square roots in existed close-form methods. Simulations are included to study the algorithms' performance and compare with the existing technique

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