Capon beamforming has better resolution and interference rejection capability. However, its performance will seriously degrade due to noise, array steering vector error, and other factors. In this paper, a robust Capon beamforming applied to a planar array is described. It is shown that the proposed method is the natural extension of the original Vector Optimization Robust Beamforming algorithm to the case of a planar array, and can be reformulated as a convex second-order cone program and solved by SEDUMI. Computer simulation has shown that the proposed method has better performance than other conventional methods, such as narrower main lobe and lower side lobe.

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With the ever-growing needs of a high quality of wireless communication services, the field of multiple-antenna systems, which is often called Multiple-Input Multiple-Output (MIMO) systems, has evolved rapidly. In principle, multiple-antenna techniques can fully exploit the spatial domain information to enhance wireless communication quality, so have constituted the key technologies for modern wireless communications. Adaptive beamforming, which can be interpreted as a processor in conjunction with an array of antennas to provide an adaptive form of spatial filtering, is effectively utilized to improve the Signal Interference Noise Ratio (SINR) or suppress spatial noise and interference in a multiuser scenario. However, due to the array steering vector errors, small-sample errors and so on, its performance will suffer from a substantial degradation in practical engineering applications. In this paper, Norm Constraint Robust Capon Beamforming (NCRB) and Worst-Case Performance Optimization Robust Beamforming (WCRB) are respectively formulated as a standard SOCP form, and their performances are compared and analyzed in detail. Finally, computer simulations show the algorithms' excellent performance for Signal Of Interest (SOI) power estimation and output SINR (Signal Interference Noise Ratio) as compared with the standard adaptive beamforming via a number of numerical examples. _____________

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