Interpretation of MUSIC for Location Detecting of Small Inhomogeneities Surrounded by Random Scatterers

Author:

Park Won-Kwang1ORCID

Affiliation:

1. Department of Mathematics, Kookmin University, Seoul 02707, Republic of Korea

Abstract

We consider the MUltiple SIgnal Classification (MUSIC) algorithm for identifying the locations of small electromagnetic inhomogeneities surrounded by random scatterers. For this purpose, we rigorously analyze the structure of MUSIC-type imaging function by establishing a relationship with zero-order Bessel function of the first kind. This relationship shows certain properties of the MUSIC algorithm, explains some unexplained phenomena, and provides a method for improvements.

Funder

National Research Foundation of Korea

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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