A broadband multi-beam satellite radiocommunication system configured to implement a scheme for re-use of frequencies from a total band allocated to an uplink comprises a satellite with a multi-beam receive antenna that forms adjacent reception spots of a terrestrial coverage. Each reception spot consists of a central inner zone and a peripheral zone. Each central inner zone is a cellular pattern identical except for a scale factor to geographical cells wherein the principal frequency sub-bands of a bundle of separate or adjacent principal sub-bands are unitarily distributed and the combination of which is equal to a principal band, included in the total band.