The invention concerns a system of antennas on the same support. Each antenna is connected to a first port for the emission/reception in a first frequency band, and to a second port for the emission/reception in a second frequency band. The invention consists in a specific dimensioning of the support, such that the difference of the perimetric lengths separating the median points is a function of the half wavelength λ/2 modulo k λ, k positive integer, where λ is the wavelength corresponding to a working frequency fr.