The present invention relates to an antenna system (15) comprising at least two antenna radiating elements (RE1, RE2,..., REN) and respective reference ports (R1, R2,..., RN), the ports being defined by a symmetrical antenna scattering NxN matrix (S). The system (15) further comprises a compensating network (11) connected to the reference ports (R1, R2,..., RN). The compensating network (11) is arranged for counteracting coupling between the antenna radiating elements (A1, A2..., AN). The compensating network (11) is defined by a symmetrical compensating scattering 2Nx2N matrix (Sc) comprising four NxN blocks, the two blocks on the main diagonal containing all zeros and the other two blocks of the other diagonal containing a unitary NxN matrix (V) and its transpose (Vt). The product between the unitary matrix (V), the scattering NxN matrix (S) and the transpose (Vt) of the unitary matrix (V) equals an NxN matrix (s) which essentially is a diagonal matrix. The present invention also relates to a method for calculating a compensating scattering 2Nx2N matrix (Sc) for a compensating network (11) for an antenna system according to the above, and also to a compensating network (11) for an antenna system according to the above.