The Shift and Scale Invariant Fourier-Mellin Transform for Radar Applications
MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB
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Automatic classification of targets viewed by radar is complicated by variations in target aspect relative to the radar line-of-sight RLOS. This report investigates the possibility of reducing the effects of target aspect by using the scale invariance of the Mellin transform. The properties of the Mellin transform are developed in analogy with the Fourier transform and illustrated using simple test functions and digitally implemented transforms. Simulated radar ship profiles demonstrate that a change in aspect is not equivalent to a change in target scale for realistic targets, however. Automatic classification results, for both simulated and actual radar ship profiles, confirm that using a combination Fourier-Mellin transform for feature selection appears at best comparable to the results obtained using the Fourier transform alone for feature selection.
- Theoretical Mathematics
- Active and Passive Radar Detection and Equipment