Comparing the imaging performance of MUSIC and Linear Sampling method

The MUltiple SIgnal Classification - MUSIC - algorithm and the Linear Sampling - LS - method are fast, stable, and effective non-iterative imaging techniques in inverse scattering problem. In fact, some previous studies indicated that the linear sampling method is an extended version of MUSIC. However, numerical results in support of this assertion have not been provided. In this contribution, we compare the imaging performance of MUSIC with that of the LS method with noisy data and underpin the above assertion.

I. Introduction

A recently developed MUSIC-type algorithm aims to retrieve perfectly conducting cracks at a fixed single frequency. According to [12], the MUSIC algorithm is very fast, stable, and efficient. Moreover, it can be easily extended to multiple targets.