New generation Doppler radar processing: Ultra-fast robust Doppler Spectrum Barycentre computation scheme in Poincaré´s unit disk

In case of short time series, we prove that we can replace classical Radar Doppler processing chain based on FFT by a new generation processing based on Lie Group Theory. We have defined a robust and ultra-fast computation of Doppler Spectrum Barycentre based on “Median Spectrum” estimation through an regularized autoregressive identification in lattice and ladder form like BURG algorithm.