With the increasing demand of mobile devices, the ability of mobile communications is still under test, the Mobile WIMAX technology is currently one of the most common broadband technologies. The orthogonal frequency division multiplexing is a multi carrier modulation technique for high data rate transmission; however it goes along with the problem of out-of-band power emission. There are many methods, proposed in many studies, to lower down the out-of-band power emission, such us Tail-Tracking, Zero-Forcing, Cancellation Carrier Insertion, Constellation Expansion, and Hybrid-approaches. In this thesis we present the method of relocating pilots on the Mobile WiMAX to lower down the out-of-band power emission, and combine with the Hybrid approaches to compare the simulation results. Propose a better solution to apply on the mobile devices.