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Appearance of inaccurate results in the MUSIC algorithm with inappropriate wavenumber

  • Won-Kwang Park ORCID logo EMAIL logo
Published/Copyright: May 5, 2017

Abstract

MUltiple SIgnal Classification (MUSIC) is a well-known non-iterative location detection algorithm for small, perfectly conducting cracks in inverse scattering problems. However, when the applied wavenumbers are unknown, inaccurate locations of targets are extracted by MUSIC with inappropriate wavenumbers, a fact that has been confirmed by numerical simulations. To date, the reason behind this phenomenon has not been theoretically investigated. Motivated by this fact, we identify the structure of MUSIC-type imaging functionals with inappropriate wavenumbers by establishing a relationship with Bessel functions of order zero of the first kind. This result explains the reasons for inaccurate results. Various results of numerical simulations with noisy data support the identified structure of MUSIC.

MSC 2010: 65N21; 78A46

Award Identifier / Grant number: NRF-2014R1A1A2055225

Funding statement: This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. NRF-2014R1A1A2055225).

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Received: 2016-4-26
Revised: 2016-9-16
Accepted: 2017-3-19
Published Online: 2017-5-5
Published in Print: 2017-12-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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