%K Multiband Antennas, Miniaturized Antennas, Pre-fractal Shape, Self-Affine Geometry, Hilbert Geometry %I University of Trento %A Renzo Azaro %A Federico Viani %A Leonardo Lizzi %A Edoardo Zeni %A Andrea Massa %X In this letter, the design of a quad-band antenna is presented. The antenna has a planar geometry printed on a dielectric substrate orthogonal to a reference ground plane and its geometrical parameters are optimized starting from a Hilbertlike pre-fractal reference shape. The reliability of the synthesized antenna is assessed by means of a set of experimental tests to verify its compliance with the project constraints. (c) 2009 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. %D 2011 %L elediasc12306 %T A Monopolar Quad-Band Antenna based on a Hilbert Self-Affine Pre-Fractal Geometry