Method for determining a power of at least one cross polarization interfering signal in a frame received by a first receiver comprising at least a first and a second receive antennas detecting a first and a second polarization, the frame being transmitted from a satellite transmitter comprising at least a first and a second transmit antennas, the first transmit antenna being used for transferring signal representative of the frames to the receiver on the first polarization, the second transmit antenna being used for transferring signal to a second receiver using the same frequency and the second polarization, characterized in that the method comprises the steps, executed by the first receiver, of: - obtaining the transmit antenna gains of the satellite transmitter and the receive antenna gains of the first receiver at least from information related to the location of the first receiver, related to the satellite transmitter, - estimating a value of the atmospheric attenuation between the satellite transmitter and the first receiver based on signals received by the first receiver through the first receive antenna on pilot symbol positions in the frame transferred by the satellite transmitter through the first transmit antenna, - estimating a value of the attenuation between the two signals of different polarizations based on the estimated value of the atmospheric attenuation, - estimating the channel between the first transmit antenna and the first receiver based on pilot symbols taking into account that the channel is static during the transfer of the frame, estimating the channel h̃ 2 between the second transmit antenna and the first receiver from the antenna gain a 2 between the second transmit antenna and the first receiver and from the estimated atmospheric attenuation b̃ estimating the power of the at least one interfering signal from the obtained antennas gains and estimations as: σ ̃ s 2 2 = E | y 1 ' − a 1 b ̃ z | 2 − σ n 2 ⋅ | a 2 b ̃ A ̃ | 2 + E | y 2 ' − a 1 b ̃ A ̃ z | 2 − σ n 2 ⋅ | a 2 b ̃ | 2 | a 2 b ̃ A ̃ | 4 + | a 2 b ̃ | 4 Or σ ̃ s 2 2 = E | y 1 ' − a 1 b ̃ z | 2 − E | y 2 ' − a 1 b ̃ A ̃ z | 2 / | a 2 b ̃ A ̃ | 2 − | a 2 b ̃ | 2 where a 1 is the antenna gain between the first transmit antenna and the first receive antenna, the averaging function E {.} operates over several subcarriers/time slots of the frame during which the nature of the interference does not change, σ n 2 is the variance of additive white Gaussian noise on the antennas of the receiver, y 1 ' is the signal received by the first receiver through the first receive antenna on pilot symbol positions in the frame transferred by the satellite transmitter through the first transmit antenna, z denotes pilot symbols, y 2 ' is the signal received by the receiver through the second receive antenna on positions corresponding to pilot symbol positions in the frame transferred by the satellite transmitter through the first transmit antenna and Ã is the estimated value of the attenuation between the two signals of different polarizations. - obtaining the transmit antenna gains of the satellite transmitter and the receive antenna gains of the first receiver at least from information related to the location of the first receiver, related to the satellite transmitter, - estimating a value of the atmospheric attenuation between the satellite transmitter and the first receiver based on signals received by the first receiver through the first receive antenna on pilot symbol positions in the frame transferred by the satellite transmitter through the first transmit antenna, - estimating a value of the attenuation between the two signals of different polarizations based on the estimated value of the atmospheric attenuation, - estimating the channel between the first transmit antenna and the first receiver based on pilot symbols taking into account that the channel is static during the transfer of the frame,