Abstract : The imaging of a small target embedded in a medium is a central problem
in sensor array imaging. The goal is to find a target embedded in a medium.
The medium is probed by an array of sources, and the signals backscattered
by the target are recorded by an array of receivers. The responses between
all pairs of source and receiver are collected so that the available information
takes the form of a response matrix. When the data are corrupted by additive
measurement noise we show how tools of random matrix theory can help to
detect, localize, and characterize the target.