Robust space-time beamforming in GNSS by means of second-order cone programming

This paper deals with the reception of several Global Navigation Satellite Systems (GNSS) signals using antenna arrays in the presence of interference, multipath propagation and array manifold uncertainties. The proposed method is a new space-time approach where all the line-of-sight signals (LOSS) are pointed by the array, and the temporal reference of the signal is exploited. The work also presents an extension of this beamforming that takes into account the uncertainties in the steering matrix due to pointing errors or array miscalibration. The robustness of this new method is achieved using second-order cone programming, allowing its implementation with highly efficient algorithms. Simulations show the performance of these beamformers in scenarios where coherent multipath and pointing errors are present.