This research deals with the solution of detection and estimation problems encountered in a variety of target tracking problems encountered in a Ballistic Missile Defense environment. We propose five broad classes of problems. The first problem deals with the guidance for interceptors tracking maneuverable targets. We need to forecast the time of intersection and the bearing angle of the target, and have to update them continuously. The second problem is the robust tracking of moving targets, especially with the tracks close to one another. Our approach avoids the data association lacunae of the existing methods. Next we deal with targets which can be handled via two-dimensional imagery. We analyze these aspects. First is the method of restoration of degraded images and videos. The second deals with the compression of images and videos by sub-band coding. The third deals with a new approach for handling wavelets and its use in image compression.
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