High frequency analysis of imaging with noise blending

TL;DR

This paper investigates the stability and contrast of a migration imaging functional in sensor array imaging with noise blended sources, analyzing its sensitivity to medium perturbations through high frequency analysis.

Contribution

It provides a high frequency analysis of the imaging functional’s stability and contrast in the presence of noise blending and medium perturbations.

Findings

The imaging scheme is statistically stable against noise blending.

Image contrast depends strongly on the type of medium perturbations.

Quantitative results on image contrast are obtained.

Abstract

We consider sensor array imaging for simultaneous noise blended sources. We study a migration imaging functional and we analyze its sensitivity to singular perturbations of the speed of propagation of the medium. We consider two kinds of random sources: randomly delayed pulses and stationary random processes, and three possible kinds of perturbations. Using high frequency analysis we prove the statistical stability (with respect to the realization of the noise blending) of the scheme and obtain quantitative results on the image contrast provided by the imaging functional, which strongly depends on the type of perturbations.