Tomographic Mathematical Ideas Applied to Radar Detection

摘要

The researchers undertook an examination of many of the mathematical issues thatare well understood in the case of the medical application of these tomographic ideas (i.e. x-ray scanners) but have not yet been explored in the arena of radar imaging. Among the issues concentrated on were: (1) an understanding of the way in which data might be collected in radar, (2) the proper interpretation of these data as projections of a two dimensional distribution in range-Doppler space, (3) a careful study of the effect that 'ellipsoidal integrals' or even simpler 'strip integrals' will have on an algorithm that is supposed to work with 'line integrals', (4) a study of the effect that an increase of 'lateral sampling per one dimensional projection' will have on the final reconstructions. This issue is well understood in the medical application and it serves to determine the number of detectors to be used, but has to be reexamined and reinterpreted in the radar context, and (5) a study of the competing methods to obtain range-Doppler images. These include Synthetic Aperture Radar, and are based on the relative mention of the object vis-a-vis the radar.