Applications of wavelet methods to the analysis of meteorological radar data : an overview

الملخص EN

The aim of this paper is to give an overview on the current applications of wavelet methods to the analysis of radar data.

There are two major topics where wavelet algorithms have already been successfully applied, namely the reconstruction of continuous reflectivity densities and the analysis of discrete radar wind profiler data.

The first problem can be treated by using the specific reconstruction and approximation properties of wavelet frames whereas the second one is treated by a suitable variant of the classical wavelet thresholding method.

Both topics are discussed in detail and several numerical results are presented.

Key Words: Radar, reflectivity density, wideband regime, narrowband regime, meteorological signal processing, radar wind profiler, frames, wavelets, continuous wavelet transforms, uncertainty principles.