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A new rectangular dielectric resonator antenna (DRA) design with CPW feeding is presented for wireless local area network (WLAN) applications. In this proposed antenna, Coplanar Waveguide (CPW) inductive slot feeding is used as an effective radiator as well as the feeding structure for the DR. The result shows that the proposed antenna achieves an impedance bandwidth from 5.45 GHz to 6.22 GHz covering 5.8 GHz WLAN band. Parametric studies of the antenna carried out by varying the length of the horizontal slot and simulated results for 5.8 GHz WLAN application are presented here.