Antenna array optimization for channel model using spherical harmonics decomposition

This paper addresses the optimization antenna arrays. For this purpose, we use a recent channel model based on the use of spherical harmonics, which allows decoupling the patterns of the antennas from the propagation medium. We also derived two techniques of optimization based on methods of Gauss-Newton (GN) and of Steepest-Descent (SD), as well as their computational costs as functions of number of antennas and of the spherical order. Our results provide a comparison of these methods, varying basically these two parameters, showing that both can give optimal results, being GN method faster and stabler for low dynamic cases.