Alongside highly sharp beamforming, omnidirectional beamforming (OBF) is important technique for a practical system to make beacons or broadcast channels. Therefore, many methods have been proposed to find optimum transmission antenna coefficients to steer omnidirectional beams efficiently. These conventional optimization methods are simple and efficient. However, for massive multiple input multiple output (MIMO) systems, as the number of variables or transmission antenna coefficients to optimize increases, the computation complexity increases exponentially and eventually it is impossible to compute. To solve this problem, we redefine system model by approximation and variable substitution processes to use Fourier transform for analysis. By using these processes, we find new OBF method that is simple and tolerable to the errors inevitably occurred in the processes. Even for the massive MIMO system with hundreds of transmission antennas, the proposed method has only two optimization variables while the conventional methods try to compute hundreds of optimization variables. Moreover we find the values of these two optimization variables asymptotically approaches constant as the number of transmission antennas increases. Therefore, our accomplishment contributes to future analysis for ideal massive MIMO system.
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