The gain of a standard rectangular dielectric resonator antenna (DRA) is enhanced by integrating it with a surface mounted short horn (SMSH). An enhancement of gain by 3.7dB to 9.8dBi at 5.95GHz, and a 10dB return bandwidth of 3.2 has been achieved from this configuration. Performances of antennas with different types of SMSHs are studied; SMSHs made out of thin metal strips or strips supported by foam are found to be best. Next, the bandwidth of the antennas is enhanced by replacing the DRA with a wideband hybrid antenna, consists of a rectangular DR on a patch resonator. A return loss bandwidth of 25, and a gain better than 8.5dBi over this bandwidth, has been achieved. The boresight cross-polarisation level is less than -27dB and the sidelobe level is less than -15dB over the entire bandwidth.