Applications of Wavelets to Radar, Imaging and Related Problems.

摘要

A primary concern of this study has been waveform design for active inverse problems of acoustic and electromagnetic variety. We developed several useful results in the specific areas of electromagnetic and acoustic bullets, signal design for doppler ultrasound velocimetry and magnetic resonance imaging, and limited data tomography problems arising in medical imaging and in radar. Another area of proposed research involved the construction of maximum likelihood receivers for various novel signal sources, such as those arising in particular wideband acoustic data, and image data from non-eulidean sources. We have developed efficient algorithms in both of these regimes. In particular, we have studied receivers for application to wideband acoustic signal processing in acoustic velocimetry for the dense target environments occurring in Doppler ultrasound problems, and computationally efficient matched filter processor for the sphere. This has direct application to directional data of various forms, with applications from remote sensing problems to quality assurance for CAD/CAM.