In this paper, a 3-faceted array which consists of eight left-hand circularly polarized (LHCP) elements operating at 2.4 GHz, having low side-lobe level (SLL) radiation pattern for adaptive antenna implementation for mobile communication is synthesized. A set of correction phase on top of the classical amplitude tapering method, such as Binomial, Dolph-Chebychev and Taylor, is proposed to enable the 3-faceted array to generate a radiation pattern with the desired SLL. Simulation results show that a radiation pattern with an acceptable main beam width and side-lobe level is obtained using the Taylor weighting. With this technique, not only has the 3-faceted array a wider scanning range, but also lower side lobe levels.