Project Details


Approved for Public Release.#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, un-derwater sonar imaging, and optical coherence tomography. Despite its prevalence, the funda-mental 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 (trade-off) between the number of sensors, spatial resolution, signal structure, and quality of reconstructed image is not understood.In this project, we pursue the following two main goals: (1) Provide a mathematical foundation for CI systems that suffer from speckle noise and mathematically characterize the interplay be-tween spatial resolution of the captured images, reconstruction quality, signal structure, number of sensors, and the computational complexity of the recovery algorithms. We would then use our theoretical framework to obtain theoretically-founded algorithms for estimating signals from their underdetermined speckle-corrupted measurements. (2) Explore the implications of our results to digital holography as an important related application. For this purpose, we have ongoing collab-orations and regular meetings with three experts in the area of imaging and digital holography.In order to achieve our goals, we start by looking into the physics of CI systems and provide a fresh viewpoint of the system model. This viewpoint allows us to increase the resolution of such systems (without degrading the performance) if we solve an under-determined linear inverse problem in the presence of speckle noise. Solving such estimation problems is still mathematically challenging. However, the recent work of the PIs has offered a viable path for addressing this challenging mathematical problem.Successful execution of thisproject will result in major advances in coherent imaging capabilities. CI systems are employed in various applications of great importance to the navy, such as inverse synthetic aperture radar and digital holography. Speckle noise not only considerably degrades the performance of such systems, but also impedes the fusion of data from different imaging systems. Hence, the success of this project can make the following contributions to the imaging capabili-ties of the navy: (1) obtaining higher resolution or higher quality images using the same systems,(2) enabling the fusion of data from different imaging systems which will in turn enable the re-construction of more accurate images, (3) Reducing the size/weight/acquisition time of different imaging systems without compromising the quality of their captured images.

Effective start/end date4/1/23 → …


  • U.S. Navy: $390,000.00


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