Method for forming and allocating beams by frequency sub-bands for an active multi-beam satellite antenna

A satellite payload, comprising an antenna array (ANT1, ANT2), a device for allocating frequencies by sub-bands (COM) and a beamforming device (DBF TX, DBF RX which are configured to jointly implement steps of a method for allocating resources in a telecommunication system operating in a frequency band and for a coverage area wherein a plurality of user terminals is located, said steps comprising:

• dividing the frequency band into sub-bands such that, in each sub-band, beams formed by the active multi-beam antenna are stable for all frequencies in the sub-band,
• determining, for each of the sub-bands, a grid of orthogonal beams arranged to cover some of the coverage area, each grid of orthogonal beams having an angular depointing capacity which is configured to orient each grid of orthogonal beams to maximize a gain of each beam in the grid,
• selecting several subsets of user terminals and allocating, to each of selected subsets, one of the grids of orthogonal beams and a pointing direction of said one of the grids of orthogonal beams according to its angular depointing capacity, so that each beam in the grid points towards at least one of the user terminals in the selected subset.