The invention relates to an interfacing device for transmission through interconnections used for sending a plurality of electrical signals.The interfacing device of the invention comprises signal terminals and a common terminal. A receiving circuit delivers, when the receiving circuit is in the activated state, “output signals of the receiving circuit” determined each by a linear combination of the voltages between one of the signal terminals and the common terminal, to the destination. A termination circuit is such that, when it is in the activated state, it is approximately equivalent, for the signal terminals and the common terminal, to a (m+1)-terminal network such that, for small signals, the impedance matrix, with respect to the common terminal, of the (m+1)-terminal network is equal to a wanted non-diagonal matrix of size m×m.