A dielectric radiator antenna arrangement for a communication device having a ground plane is provided. The antenna arrangement may include a dielectric volume having a central axis normal to the ground plane, and mode-exciting elements. The mode-exciting elements may include a first mode-exciting element provided in or attached to the dielectric volume and extending in a plane provided at a first distance from the central axis perpendicular to the ground plane, and a second mode-exciting element provided in or attached to the dielectric volume and extending in a plane provided at a second distance from the central axis and perpendicular to both the ground plane and the plane of the first mode-exciting element. The antenna arrangement can be used for simultaneously transmitting and receiving more than one signal at one frequency with reduced coupling.