Adaptive eigen-projection beamforming algorithms for 1D and 2D antenna arrays

We develop one-dimensional (1D) and two-dimensional (2D) adaptive algorithms that use gradient projections in selected subspaces for use in antenna beamforming. The 1D algorithm is essentially a significantly enhanced version of an eigenspace projection algorithm (EPA) that was previously developed for controls. The 2D algorithm is new and is based on a stacked configuration of the enhanced 1D algorithm. Both algorithms are applied to antenna beamforming in uniform linear and planar arrays. Simulation results show faster convergence as well as improved beam properties. In addition, results for a more realistic scenario, with a BPSK signal and antenna coupling effects, are also quite promising.