Numerous studies of smart antennas have already been conducted using linear or planar arrays, not as much effort has been devoted to other configurations. The performance of smart antennas with circular array and circular array with central element are examined and simulated in MATLAB. In this paper, the first module presents the design of circular antenna array with central element suitable for the beam forming technique in wireless applications such as smart antennas have been analysed. The main objective of the work is to compute the radiation pattern with minimum Side Lobe Level (SLL) for specified Half Power Beam Width (HPBW). Algorithms are applied to determine the non-uniform excitation applied to each element. The effectiveness of the proposed algorithm involves FFA for optimization of antenna problems. Simulation results obtained in each case using both the algorithms such as RLS and FFA are compared in a statistically significant way. The obtained results using Firefly Algorithm shows better performance than RLS provided that the same number of function evaluations have been considered for both the algorithms.