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.