Applications of random matrix theory for sensor array imaging with measurement noise

The imaging of a small reflector embedded in a medium is a central problem in sensor array imaging. The goal is to find a reflector embedded in a medium. The medium is probed by an array of sources, and the signals backscattered by the reflector 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 reflector. AMS subject classifications. Primary 78A46; Secondary 15B52.