A ground plane for reducing multipath reception comprises a convex conducting surface and an array of conducting elements disposed on at least a portion of the convex conducting surface. Embodiments of the convex conducting surface include a portion of a sphere and a sphere. Each conducting element comprises an elongated body structure having a transverse dimension and a length, wherein the transverse dimension is substantially less than the length. The cross-section of the elongated body structure can have various user-specified shapes. Each conducting element can further comprise a tip structure. The azimuth spacings, lengths, and surface densities of the conducting elements can be functions of meridian angle. An antenna can be mounted directly on the conducting convex surface or on a conducting or dielectric support structure mounted on the conducting convex surface. System components, such as a navigation receiver, can be mounted inside the conducting convex surface.