A process for eliminating interference in a telecommunications network including a multi-beam satellite, a coverage area made up of a plurality of cells in which terminals are located, at least two of the cells, referred to as the first and second cell, being associated with the same frequency band, a first earth station including a first demodulator capable of demodulating signals transmitted by terminals located in the first cell and a second earth station including a second demodulator different from the first demodulator capable of demodulating signals transmitted by terminals located in the second cell. The process uses information supplied by the terminal, particularly its position and transmission parameters, and enables the appropriate G/T figure to be deduced. This information is then transmitted to the demodulator of the second earth station and will be used to reconstruct the signal incorporating the message and remove it from the received signal.