Downlink beamforming for modile communication systemsbased on antenna arrays have been discussed. Computer simulations for circulararray and linear array have also been carried out. The results of simulations show that circular array or linear array can be used in different downlink beamforming model, which means that circular array is suitable for switch-beam downlink beamforming, while linear array for selective downlink beamforming. If Chebyshev linear array in selective downlink beamforming model is adopt, the beamforming will be optimized. In addition, the complexity of system will be reduced greatly, which makes beamforming easier to be realized.