ECE Assistant Professor Shirin Jalali received a new grant titled "Compressed Sensing for Coherent Imaging Systems" from the Division of Mathematics, Computer and Information Sciences (MCIS) of ONR. It is a collaboration between Rutgers and Columbia University. Our share is $239K. (Total award is $390K for three years.)
Speckle noise is a special type of noise encountered in a wide range of coherent imaging (CI) systems, such as digital holography, synthetic aperture radar, inverse synthetic aperture radar, underwater sonar imaging, and optical coherence tomography. Despite its prevalence, the fundamental theoretical and algorithmic aspects related to solving inverse problems affected by speckle noise have remained unexplored. For instance, the fundamental performance limits of CI systems have remained open. Furthermore, the interplay between the number of sensors, spatial resolution, signal structure, and quality of reconstructed image is not understood. This project aims to pursue the following two main goals: (1) Provide a mathematical foundation for CI systems that suffer from speckle noise and mathematically characterize the interplay between spatial resolution of the captured images, reconstruction quality, signal structure, number of sensors, and the computational complexity of the recovery algorithms. The obtained theoretical framework will be utilized to obtain theoretically founded algorithms for estimating signals from their underdetermined speckle-corrupted measurements. (2) Explore the implications of the results to digital holography as an important related application.
Congratulations to Shirin!