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

Mathematical Sciences Research Institute PublicationsThe imaging of a small target embedded in a medium is a central problemin 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 backscatteredby the target are recorded by an array of receivers. The responses betweenall pairs of source and receiver are collected so that the available informationtakes the form of a response matrix. When the data are corrupted by additivemeasurement noise we show how tools of random matrix theory can help todetect, localize, and characterize the target