The localization of angular positions of sources is a very promising topic in wireless communication systems. Many algorithms for the estimation of angular positions using an antennas array have been investigated from the beamformer methods to the high resolution methods (MUSIC, Propagator...). The introducing of subspace methods have ameliorate the quality of estimation with a infinite resolution, but, until now, a limited number of works has interest in the importance of the configuration of the antennas array and its impacts on the estimation process. The uniform linear array (ULA) has been applied in many works to estimate the 1-D (azimuth only) DOA. But, for the 2-D (azimuth and elevation) DOA estimation problem, at least a planar array is required. In this paper we will study different geometry configurations of planar antennas array in the estimation of 2-dimensional direction of arrival and we present a new 3 dimensional antennas array that will ameliorate the resolution of the MUSIC algorithm. We will show the effectiveness in relation to the other shapes of arrays generally used as the circular and planar arrays, especially for the 2-D estimation of direction of arrival (azimuth angles and elevation angles). We will also discuss the concept of phase modes, which is a useful tool for the understanding of the performance of circular arrays. It is also used in pattern synthesis. Omnidirectional patterns will be studied in some detail, especially the problem of reducing the amplitude ripple. Successful applications show that the approach can be used as a general tool for pattern synthesis of circular antenna arrays.
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