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A new kind of broadband dielectric resonator antenna with a lattice structure is presented. The top dielectric resonator broken up into a lattice structure is adopted to achieve a wide operating bandwidth in a compact size, which makes it suitable to be arrayed. A backed cavity based on substrate integrated waveguide technology is introduced to reduce the unwanted radiation from the surface wave. The antenna is excited through a slot feeding structure. Measured results show that the prototype can achieve an impedance bandwidth of 39% and a peak gain of 9.6 dBi.