A multiple band antenna (and an array of such antennas) includes a first radiating element that radiates at a first band, at least one second radiating element that radiates at a second band, and a frame to hold the radiating elements. The frame disposes the first and second radiating elements in different planes so that cross-band interference is substantially avoided. Alternatively, a multiple band array antenna includes a first array of radiating elements in a first plane and a second array of radiating elements in a second plane. The first plane overlays the second plane. As a result, individual radiating elements in the first array are substantially interspersed with individual radiating elements in the second array. But the first array and the second array are arranged so that individual radiating elements in the first array substantially do not overlap individual radiating elements in the second array.