A ground plane apparatus (200 ) has a plurality of substantially planar ground plane surfaces (201 ) that are connected, arranged, and configured to substantially form a pyramid-shaped object. A plurality of radiating antennas (202 ) are then provided with at least one such antenna being mounted on each of the plurality of substantially planar ground plan surfaces such that a line of sight (205 ) between tips of adjacent radiating antennas is substantially occluded by at least one of the substantially planar ground plan surfaces. An electrically conductive raised surface (401 ) may be mounted along adjacent edges of the substantially planar ground plane surfaces. Such raised surfaces may further aid in more fully occluding the line of sight between adjacent radiating antennas. As another optional approach, additional shorted antennas (501 ) are also mounted along at least some of the above-noted adjacent edges to further aid in occluding this line of sight.