Detection of Targets in Foliage Clutter, Based on Multiresolutional Denoising

We address here the problem of detection of targets obscured by foliage clutter using X-band portable continuous wave radar. The weak signal, backscattered from the target and the impulsiveness nature of the foliage clutter are the two problems which make the reliable detection not so easy task. The impulsive foliage clutter is more accurately modeled with the symmetric alpha stable distribution, compared to the most used distributions in the radar community. With this more accurate model and giving an account that the Doppler statistic can not be considered as simple stationary system, we investigate here the applicability of new multiresolutional approach recently proposed from Donoho and Yu (2000), namely a kind of pyramid transform based on median interpolation. We also derive computational effective approximation for the computation of the optimal thresholds for the last approach