An improvement on SAS image formation

Synthetic Aperture Imaging Systems are mature and offer a vast choice of reconstruction algorithms. Most of them use pulse-compression. This step is usually performed as a matched-filtering with the bandpass transmitted signal. Taking into account the main assumptions of the matched filter theory, the use of the bandpass transmitted pulse as matched filter´s impulse response is only available if the useful signal is perfectly known (i.e. deterministic) and if the noise is white, which is not the case in practice. For this reason, we propose to substitute the classical matched filter used for the pulse-compression by its extension to random signal. Results obtained on synthetic and real data are proposed and discussed.