Abstract—In this paper optimized hyper beamforming method is presented based on hyper beam exponent parameter for linear antenna arrays. Hyper beam is derived from sum and difference beam patterns of the array. As compared to conventional hyper beamforming of linear antenna array, real coded genetic algorithm (RGA), particle swarm optimization (PSO), and improved particle swarm optimization (IPSO) applied to the hyper beam of the same array can achieve much greater reduction in SLL and much more improved first null beam width (FNBW), keeping the same value of hyper beam exponent. The optimized hyper beam is achieved by optimization of current excitation weights and uniform inter-element spacing. The approach is illustrated through 10-, 14-, and 20-element linear antenna arrays. Various results are presented to show the advantage of this approach considering maximum SLL reduction and much more improved FNBW.