Appearance of inaccurate results in the MUSIC algorithm with inappropriate wavenumber

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.

16 pages, 20 figures

References in corpus (3)

• Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks
• Analysis of subspace migration in the limited-view inverse scattering problems
• Interpretation of MUSIC for location detecting of small inhomogeneities surrounded by random scatterers

Cited by in corpus (3)

• Application of MUSIC algorithm in real-world microwave imaging of unknown anomalies from scattering matrix
• A novel study on the MUSIC-type imaging of small electromagnetic inhomogeneities in the limited-aperture inverse scattering problem
• Application of MUSIC-type imaging for anomaly detection without background information