Interpretation of MUSIC for location detecting of small inhomogeneities surrounded by random scatterers
Provides theoretical understanding and practical improvements for electromagnetic imaging in cluttered environments, relevant to radar and medical imaging.
The paper analyzes the MUSIC algorithm for locating small electromagnetic inhomogeneities in random scattering environments, establishing a relationship with Bessel functions to explain and improve its performance.
In this paper, 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.